Log in

Relevant bibliographies by topics / Dirac delta function / Journal articles

To see the other types of publications on this topic, follow the link: Dirac delta function.

Journal articles on the topic 'Dirac delta function'

Author: Grafiati

Published: 4 June 2021

Last updated: 7 February 2022

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the top 50 journal articles for your research on the topic 'Dirac delta function.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Browse journal articles on a wide variety of disciplines and organise your bibliography correctly.

1

Dhanuk, B. B., K. Pudasainee, H. P. Lamichhane, and R. P. Adhikari. "Dirac Delta Function from Closure Relation of Orthonormal Basis and its Use in Expanding Analytic Functions." Journal of Nepal Physical Society 6, no. 2 (2020): 158–63. http://dx.doi.org/10.3126/jnphyssoc.v6i2.34872.

Full text

Abstract:

One of revealing and widely used concepts in Physics and mathematics is the Dirac delta function. The Dirac delta function is a distribution on real lines which is zero everywhere except at a single point, where it is infinite. Dirac delta function has vital role in solving inhomogeneous differential equations. In addition, the Dirac delta functions can be used to explore harmonic information’s imbedded in the physical signals, various forms of Dirac delta function and can be constructed from the closure relation of orthonormal basis functions of functional space. Among many special functions,

APA, Harvard, Vancouver, ISO, and other styles

2

Katz, Mikhail G., and David Tall. "A Cauchy-Dirac Delta Function." Foundations of Science 18, no. 1 (2012): 107–23. http://dx.doi.org/10.1007/s10699-012-9289-4.

Full text

APA, Harvard, Vancouver, ISO, and other styles

3

Feng, Zaiyong, Linghua Ye, and Yi Zhang. "On the Fractional Derivative of Dirac Delta Function and Its Application." Advances in Mathematical Physics 2020 (October 14, 2020): 1–7. http://dx.doi.org/10.1155/2020/1842945.

Full text

Abstract:

The Dirac delta function and its integer-order derivative are widely used to solve integer-order differential/integral equation and integer-order system in related fields. On the other hand, the fractional-order system gets more and more attention. This paper investigates the fractional derivative of the Dirac delta function and its Laplace transform to explore the solution for fractional-order system. The paper presents the Riemann-Liouville and the Caputo fractional derivative of the Dirac delta function, and their analytic expression. The Laplace transform of the fractional derivative of th

APA, Harvard, Vancouver, ISO, and other styles

4

Meghwal, Ram Swaroop. "Fundamental Study of Dirac Delta Function." International Journal for Research in Applied Science and Engineering Technology 8, no. 12 (2020): 918–24. http://dx.doi.org/10.22214/ijraset.2020.32665.

Full text

APA, Harvard, Vancouver, ISO, and other styles

5

Simons, Stuart. "90.41 Introducing the Dirac delta function." Mathematical Gazette 90, no. 518 (2006): 292–93. http://dx.doi.org/10.1017/s0025557200179756.

Full text

APA, Harvard, Vancouver, ISO, and other styles

6

Chu, J. L., and Sanboh Lee. "Dirac delta function — an alternative expression." International Journal of Mathematical Education in Science and Technology 27, no. 5 (1996): 753–83. http://dx.doi.org/10.1080/0020739960270515.

Full text

APA, Harvard, Vancouver, ISO, and other styles

7

Balakrishnan, V. "All about the dirac delta function(?)." Resonance 8, no. 8 (2003): 48–58. http://dx.doi.org/10.1007/bf02866759.

Full text

APA, Harvard, Vancouver, ISO, and other styles

8

Khairi, Fathul, and Malahayati. "Penerapan Fungsi Green dari Persamaan Poisson pada Elektrostatika." Quadratic: Journal of Innovation and Technology in Mathematics and Mathematics Education 1, no. 1 (2021): 56–79. http://dx.doi.org/10.14421/quadratic.2021.011-08.

Full text

Abstract:

The Dirac delta function is a function that mathematically does not meet the criteria as a function, this is because the function has an infinite value at a point. However, in physics the Dirac Delta function is an important construction, one of which is in constructing the Green function. This research constructs the Green function by utilizing the Dirac Delta function and Green identity. Furthermore, the construction is directed at the Green function of the Poisson's equation which is equipped with the Dirichlet boundary condition. After the form of the Green function solution from the Poiss

APA, Harvard, Vancouver, ISO, and other styles

9

Crosbie, A. L., and G. W. Davidson. "Dirac-delta function approximations to the scattering phase function." Journal of Quantitative Spectroscopy and Radiative Transfer 33, no. 4 (1985): 391–409. http://dx.doi.org/10.1016/0022-4073(85)90200-6.

Full text

APA, Harvard, Vancouver, ISO, and other styles

10

Nedeljkov, Marko, and Michael Oberguggenberger. "Ordinary differential equations with delta function terms." Publications de l'Institut Math?matique (Belgrade) 91, no. 105 (2012): 125–35. http://dx.doi.org/10.2298/pim1205125n.

Full text

Abstract:

This article is devoted to nonlinear ordinary differential equations with additive or multiplicative terms consisting of Dirac delta functions or derivatives thereof. Regularizing the delta function terms produces a family of smooth solutions. Conditions on the nonlinear terms, relating to the order of the derivatives of the delta function part, are established so that the regularized solutions converge to a limiting distribution.

APA, Harvard, Vancouver, ISO, and other styles

11

Makris, Nicos. "The Fractional Derivative of the Dirac Delta Function and Additional Results on the Inverse Laplace Transform of Irrational Functions." Fractal and Fractional 5, no. 1 (2021): 18. http://dx.doi.org/10.3390/fractalfract5010018.

Full text

Abstract:

Motivated from studies on anomalous relaxation and diffusion, we show that the memory function M(t) of complex materials, that their creep compliance follows a power law, J(t)∼tq with q∈R+, is proportional to the fractional derivative of the Dirac delta function, dqδ(t−0)dtq with q∈R+. This leads to the finding that the inverse Laplace transform of sq for any q∈R+ is the fractional derivative of the Dirac delta function, dqδ(t−0)dtq. This result, in association with the convolution theorem, makes possible the calculation of the inverse Laplace transform of sqsα∓λ where α<q∈R+, which is the

APA, Harvard, Vancouver, ISO, and other styles

12

Delfan, Nasibeh, Amir Pishkoo, Mahdi Azhini, and Maslina Darus. "Using Fractal Calculus to Express Electric Potential and Electric Field in Terms of Staircase and Characteristic Functions." European Journal of Pure and Applied Mathematics 13, no. 1 (2020): 19–32. http://dx.doi.org/10.29020/nybg.ejpam.v13i1.3609.

Full text

Abstract:

The Dirac Delta function is usually used to express the discrete distribution of electric charges in electrostatic problems. The integration of the product of the Dirac Delta function and the Green functions can calculate the electric potential and the electric field. Using fractal calculus, characteristic function, $\chi_{C_{n}}(x)$, as an alternative for dirac delta function is used to describe Cantor set charge distribution which is typical example of a discrete set. In these cases we deal with $F^{\alpha}$-integration and $F^{\alpha}$-derivative of the product of characteristic function an

APA, Harvard, Vancouver, ISO, and other styles

13

Delfan, Nasibeh, Amir Pishkoo, Mahdi Azhini, and Maslina Darus. "Using Fractal Calculus to Express Electric Potential and Electric Field in Terms of Staircase and Characteristic Functions." European Journal of Pure and Applied Mathematics 13, no. 1 (2020): 19–32. http://dx.doi.org/10.29020/nybg.ejpam.v1i1.3609.

Full text

Abstract:

The Dirac Delta function is usually used to express the discrete distribution of electric charges in electrostatic problems. The integration of the product of the Dirac Delta function and the Green functions can calculate the electric potential and the electric field. Using fractal calculus, characteristic function, $\chi_{C_{n}}(x)$, as an alternative for dirac delta function is used to describe Cantor set charge distribution which is typical example of a discrete set. In these cases we deal with $F^{\alpha}$-integration and $F^{\alpha}$-derivative of the product of characteristic function an

APA, Harvard, Vancouver, ISO, and other styles

14

Ee, June-Haak, Jungil Lee, and Chaehyun Yu. "Proof of Cramer’s rule with Dirac delta function." European Journal of Physics 41, no. 6 (2020): 065002. http://dx.doi.org/10.1088/1361-6404/aba455.

Full text

APA, Harvard, Vancouver, ISO, and other styles

15

Benham, Richard, Chris Mortensen, and Graham Priest. "Chunk and permeate III: the Dirac delta function." Synthese 191, no. 13 (2014): 3057–62. http://dx.doi.org/10.1007/s11229-014-0473-7.

Full text

APA, Harvard, Vancouver, ISO, and other styles

16

Xu, Xiubin. "Nonlinear trigonometric approximation and the Dirac delta function." Journal of Computational and Applied Mathematics 209, no. 2 (2007): 234–45. http://dx.doi.org/10.1016/j.cam.2006.11.001.

Full text

APA, Harvard, Vancouver, ISO, and other styles

17

Kim, Dohyun, June-Haak Ee, Chaehyun Yu, and Jungil Lee. "Derivation of Jacobian formula with Dirac delta function." European Journal of Physics 42, no. 3 (2021): 035006. http://dx.doi.org/10.1088/1361-6404/abdca9.

Full text

APA, Harvard, Vancouver, ISO, and other styles

18

Wang, Xinwei, and Chunhua Jin. "Differential Quadrature Analysis of Moving Load Problems." Advances in Applied Mathematics and Mechanics 8, no. 4 (2016): 536–55. http://dx.doi.org/10.4208/aamm.2014.m844.

Full text

Abstract:

AbstractThe differential quadrature method (DQM) has been successfully used in a variety of fields. Similar to the conventional point discrete methods such as the collocation method and finite difference method, however, the DQM has some difficulty in dealing with singular functions like the Dirac-delta function. In this paper, two modifications are introduced to overcome the difficulty encountered in solving differential equations with Dirac-delta functions by using the DQM. The moving point load is work-equivalent to loads applied at all grid points and the governing equation is numerically

APA, Harvard, Vancouver, ISO, and other styles

19

Hashimoto, Naoki. "A regularization of dirac delta function for a singular analytic function." Applied Mathematics Letters 6, no. 5 (1993): 49–53. http://dx.doi.org/10.1016/0893-9659(93)90099-9.

Full text

APA, Harvard, Vancouver, ISO, and other styles

20

Kovacevic, Milan S., Miroslav R. Jovanovic, and Marko M. Milosevic. "On the calculus of Dirac delta function with some applications in classical electrodynamics." Revista Mexicana de Física E 18, no. 2 Jul-Dec (2021): 020205. http://dx.doi.org/10.31349/revmexfise.18.020205.

Full text

Abstract:

The Dirac delta function is a concept that is useful throughout physics as a standard mathematical tool that appears repeatedly in the undergraduate physics curriculum including electrodynamics, optics, and quantum mechanics. Our analysis was guided by an analytical framework focusing on how students activate, construct, execute, and reflect on the Dirac delta function in the context of classical electrodynamics problems solving. It’s applications in solving the charge density associated with a point charge as well as electrostatic point dipole field, for more advanced situations to describe t

APA, Harvard, Vancouver, ISO, and other styles

21

T. Li, Y., and R. Wong. "Integral and series representations of the dirac delta function." Communications on Pure & Applied Analysis 7, no. 2 (2008): 229–47. http://dx.doi.org/10.3934/cpaa.2008.7.229.

Full text

APA, Harvard, Vancouver, ISO, and other styles

22

Venetis, J. "Analytic Exact Forms of Heaviside and Dirac Delta Function." Advances in Dynamical Systems and Applications 15, no. 1 (2020): 115. http://dx.doi.org/10.37622/adsa/15.1.2020.115-121.

Full text

APA, Harvard, Vancouver, ISO, and other styles

23

Lin, Zhenyi, Nan Chen, Yongzhen Fan, Wei Li, Knut Stamnes, and Snorre Stamnes. "New Treatment of Strongly Anisotropic Scattering Phase Functions: The Delta-M+ Method." Journal of the Atmospheric Sciences 75, no. 1 (2018): 327–36. http://dx.doi.org/10.1175/jas-d-17-0233.1.

Full text

Abstract:

The treatment of strongly anisotropic scattering phase functions is still a challenge for accurate radiance computations. The new delta- M+ method resolves this problem by introducing a reliable, fast, accurate, and easy-to-use Legendre expansion of the scattering phase function with modified moments. Delta- M+ is an upgrade of the widely used delta- M method that truncates the forward scattering peak with a Dirac delta function, where the “+” symbol indicates that it essentially matches moments beyond the first M terms. Compared with the original delta- M method, delta- M+ has the same comput

APA, Harvard, Vancouver, ISO, and other styles

24

Yakhno, V., and D. Ozdek. "Computing the Green's Function of the Initial Boundary Value Problem for the Wave Equation in a Radially Layered Cylinder." International Journal of Computational Methods 12, no. 05 (2015): 1550027. http://dx.doi.org/10.1142/s0219876215500279.

Full text

Abstract:

In this paper, a method for construction of the time-dependent approximate Green's function for the initial boundary value problem in a radially multilayered cylinder is suggested. This method is based on determination of the eigenvalues and the orthogonal set of the eigenfunctions; regularization of the Dirac delta function in the form of the Fourier series with a finite number of terms; expansion of the unknown Green's function in the form of Fourier series with unknown coefficients and computation of a finite number of unknown Fourier coefficients. Computational experiment confirms the robu

APA, Harvard, Vancouver, ISO, and other styles

25

Ito, Atsushi, and Hiroaki Nakamura. "Energy Current on Multi-Body Potential with Dirac Delta Function." Progress of Theoretical Physics Supplement 178 (2009): 107–12. http://dx.doi.org/10.1143/ptps.178.107.

Full text

APA, Harvard, Vancouver, ISO, and other styles

26

Alla Elnour, Khalid Abd Elrazig Awad. "On the Calculus of Dirac Delta Function with Some Applications." International Journal of Mathematics Trends and Technology 56, no. 4 (2018): 258–70. http://dx.doi.org/10.14445/22315373/ijmtt-v56p537.

Full text

APA, Harvard, Vancouver, ISO, and other styles

27

Sanders, Sam, and Keita Yokoyama. "The Dirac delta function in two settings of Reverse Mathematics." Archive for Mathematical Logic 51, no. 1-2 (2011): 99–121. http://dx.doi.org/10.1007/s00153-011-0256-5.

Full text

APA, Harvard, Vancouver, ISO, and other styles

28

Jolevska-Tuneska, Biljana, та Emin Özça¯g. "On the Composition of Distributionsx−sln|x|and|x|μ". International Journal of Mathematics and Mathematical Sciences 2007 (2007): 1–9. http://dx.doi.org/10.1155/2007/60129.

Full text

Abstract:

LetFbe a distribution and letfbe a locally summable function. The distributionF(f)is defined as the neutrix limit of the sequence{Fn(f)}, whereFn(x)=F(x)*δn(x)and{δn(x)}is a certain sequence of infinitely differentiable functions converging to the Dirac delta-functionδ(x). The composition of the distributionsx−sIn|x|and|x|μis evaluated fors=1,2,…,μ>0andμs≠1,2,….

APA, Harvard, Vancouver, ISO, and other styles

29

Galapon, Eric A. "Delta-convergent sequences that vanish at the support of the limit Dirac delta function." Journal of Physics A: Mathematical and Theoretical 42, no. 17 (2009): 175201. http://dx.doi.org/10.1088/1751-8113/42/17/175201.

Full text

APA, Harvard, Vancouver, ISO, and other styles

30

Lee, Wanho, and Seunggyu Lee. "Immersed Boundary Method for Simulating Interfacial Problems." Mathematics 8, no. 11 (2020): 1982. http://dx.doi.org/10.3390/math8111982.

Full text

Abstract:

We review the immersed boundary (IB) method in order to investigate the fluid-structure interaction problems governed by the Navier–Stokes equation. The configuration is described by the Lagrangian variables, and the velocity and pressure of the fluid are defined in Cartesian coordinates. The interaction between two different coordinates is involved in a discrete Dirac-delta function. We describe the IB method and its numerical implementation. Standard numerical simulations are performed in order to show the effect of the parameters and discrete Dirac-delta functions. Simulations of flow aroun

APA, Harvard, Vancouver, ISO, and other styles

31

Sobhani, Hadi, and Hasan Hassanabadi. "Scattering in quantum mechanics under quaternionic Dirac delta potential." Canadian Journal of Physics 94, no. 3 (2016): 262–66. http://dx.doi.org/10.1139/cjp-2015-0646.

Full text

Abstract:

In this paper, the Schrödinger equation for quaternionic quantum mechanics with a Dirac delta potential has been investigated. The derivative discontinuity condition for the quaternionic wave function has been derived and the boundary conditions for the quaternionic wave function have been applied. Probability current densities for different regions of the problem have been determined along with reflection and transmission coefficients.

APA, Harvard, Vancouver, ISO, and other styles

32

Debnath, Lokenath. "A short biography of Paul A. M. Dirac and historical development of Dirac delta function." International Journal of Mathematical Education in Science and Technology 44, no. 8 (2013): 1201–23. http://dx.doi.org/10.1080/0020739x.2013.770091.

Full text

APA, Harvard, Vancouver, ISO, and other styles

33

Šumichrast, L’Ubomír. "Unified approach to the impulse response and green function in the circuit and field theory, part I: one–dimensional case." Journal of Electrical Engineering 63, no. 5 (2012): 273–80. http://dx.doi.org/10.2478/v10187-012-0040-8.

Full text

Abstract:

In the circuit theory the concept of the impulse response of a linear system due to its excitation by the Dirac delta function ƍ(t) together with the convolution principle is widely used and accepted. The rigorous theory of symbolic functions, sometimes called distributions, where also the delta function belongs, is rather abstract and requires subtle mathematical tools [1], [2], [3], [4]. Nevertheless, the most people intuitively well understand the delta function as a derivative of the (Heaviside) unit step function 1(t) without too much mathematical rigor. The concept of the impulse respons

APA, Harvard, Vancouver, ISO, and other styles

34

Yang, Hanchun, and Yanyan Zhang. "Delta shock waves with Dirac delta function in both components for systems of conservation laws." Journal of Differential Equations 257, no. 12 (2014): 4369–402. http://dx.doi.org/10.1016/j.jde.2014.08.009.

Full text

APA, Harvard, Vancouver, ISO, and other styles

35

Paris, Richard B., Armando Consiglio, and Francesco Mainardi. "On the asymptotics of wright functions of the second kind." Fractional Calculus and Applied Analysis 24, no. 1 (2021): 54–72. http://dx.doi.org/10.1515/fca-2021-0003.

Full text

Abstract:

Abstract The asymptotic expansions of the Wright functions of the second kind, introduced by Mainardi [see Appendix F of his book Fractional Calculus and Waves in Linear Viscoelasticity (2010)], F σ ( x ) = ∑ n = 0 ∞ ( − x ) n n ! Γ ( − n σ ) , M σ ( x ) = ∑ n = 0 ∞ ( − x ) n n ! Γ ( − n σ + 1 − σ ) ( 0 < σ < 1 ) $$F_\sigma(x)=\sum\limits_{n=0}^\infty \frac{(-x)^n}{n! {\mathrm{\Gamma}}(-n\sigma)}~,\quad M_\sigma(x)=\sum\limits_{n=0}^\infty \frac{(-x)^n}{n! {\mathrm{\Gamma}}(-n\sigma+1-\sigma)}\quad(0 \lt \sigma \lt 1) $$ for x → ± ∞ are presented. The situation corresponding to the limit

APA, Harvard, Vancouver, ISO, and other styles

36

Boykin, Timothy B. "Derivatives of the Dirac delta function by explicit construction of sequences." American Journal of Physics 71, no. 5 (2003): 462–68. http://dx.doi.org/10.1119/1.1557302.

Full text

APA, Harvard, Vancouver, ISO, and other styles

37

De Vincenzo, Salvatore, and Carlet Sánchez. "Point interactions: boundary conditions or potentials with the Dirac delta function." Canadian Journal of Physics 88, no. 11 (2010): 809–15. http://dx.doi.org/10.1139/p10-060.

Full text

Abstract:

We study the problem of a nonrelativistic quantum particle moving on a real line with an idealized and localized singular interaction with zero range at x = 0 (i.e., a point interaction there). This kind of system can be described in two ways: (i) by considering an alternative free system (i.e., without the singular potential) but excluding the point x = 0 (In this case, the point interaction is exclusively encoded in the boundary conditions.) and (ii) by explicitly considering the singular interaction by means of a local singular potential. In this paper we relate, compare, and discuss, in a

APA, Harvard, Vancouver, ISO, and other styles

38

Adamczewski, M., J. F. Colombeau, and A. Y. Le Roux. "Convergence of numerical schemes involving powers of the Dirac delta function." Journal of Mathematical Analysis and Applications 145, no. 1 (1990): 172–85. http://dx.doi.org/10.1016/0022-247x(90)90439-m.

Full text

APA, Harvard, Vancouver, ISO, and other styles

39

Amaku, Marcos, Francisco A. B. Coutinho, Oscar J. P. Éboli, and Eduardo Massad. "Some Problems with the Dirac Delta Function: Divergent Series in Physics." Brazilian Journal of Physics 51, no. 5 (2021): 1324–32. http://dx.doi.org/10.1007/s13538-021-00916-5.

Full text

APA, Harvard, Vancouver, ISO, and other styles

40

Coutinho, F. A. B., Y. Nogami, and F. M. Toyama. "Unusual situations that arise with the Dirac delta function and its derivative." Revista Brasileira de Ensino de Física 31, no. 4 (2009): 4302–8. http://dx.doi.org/10.1590/s1806-11172009000400004.

Full text

Abstract:

There is a situation such that, when a function ƒ(<img src="/img/revistas/rbef/v31n4/a04x.gif" align="absmiddle">) is combined with the Dirac delta function δ(<img src="/img/revistas/rbef/v31n4/a04x.gif" align="absmiddle">), the usual formula <img src="/img/revistas/rbef/v31n4/a04form01.gif" align="absmiddle">does not hold. A similar situation may also be encountered with the derivative of the delta function δ'(<img src="/img/revistas/rbef/v31n4/a04x.gif" align="absmiddle">), regarding the validity of <img src="/img/revistas/rbef/v31n4/a04form02.gif" align="absmiddle

APA, Harvard, Vancouver, ISO, and other styles

41

Pirozhenko, Irina. "On finite temperature Casimir effect for Dirac lattices." Modern Physics Letters A 35, no. 03 (2020): 2040019. http://dx.doi.org/10.1142/s0217732320400192.

Full text

Abstract:

We consider polarizable sheets modeled by a lattice of delta function potentials. The Casimir interaction of two such lattices is calculated at nonzero temperature. The heat kernel expansion for periodic singular background is discussed in relation with the high temperature asymptote of the free energy.

APA, Harvard, Vancouver, ISO, and other styles

42

Pang, Yicheng, Jianjun Ge, Min Hu, and Liuyang Shao. "Delta Shock Wave in a Perfect Fluid Model with Zero Pressure." Zeitschrift für Naturforschung A 74, no. 9 (2019): 767–75. http://dx.doi.org/10.1515/zna-2018-0525.

Full text

Abstract:

AbstractThe Riemann problem for a perfect fluid model with zero pressure is considered, where the external force is a given continuous function of time. All of exact solutions are given. In particular, a vacuum occurs in the solutions, although initial data stay far away from the vacuum. It is shown that a delta shock wave in which density and internal energy contain a Dirac delta function develops in the solutions. The position, velocity, and weights of the delta shock wave are presented explicitly. Moreover, all of the solutions are not self-similar because of the presence of the external fo

APA, Harvard, Vancouver, ISO, and other styles

43

Peskin, Charles S. "The immersed boundary method." Acta Numerica 11 (January 2002): 479–517. http://dx.doi.org/10.1017/s0962492902000077.

Full text

Abstract:

This paper is concerned with the mathematical structure of the immersed boundary (IB) method, which is intended for the computer simulation of fluid–structure interaction, especially in biological fluid dynamics. The IB formulation of such problems, derived here from the principle of least action, involves both Eulerian and Lagrangian variables, linked by the Dirac delta function. Spatial discretization of the IB equations is based on a fixed Cartesian mesh for the Eulerian variables, and a moving curvilinear mesh for the Lagrangian variables. The two types of variables are linked by interacti

APA, Harvard, Vancouver, ISO, and other styles

44

Zhang, L. H., S. K. Lai, and J. Yang. "A DSC Regularized Dirac-Delta Method for Flexural Vibration of Elastically Supported FG Beams Subjected to a Moving Load." International Journal of Structural Stability and Dynamics 20, no. 03 (2020): 2050039. http://dx.doi.org/10.1142/s021945542050039x.

Full text

Abstract:

This research presents a numerical approach to address the moving load problem of functionally graded (FG) beams with rotational elastic edge constraints, in which the regularized Dirac-delta function is used to describe a time-dependent moving load source. The governing partial differential equations of the system, derived in accordance with the classical Euler–Bernoulli beam theory, are approximated by the discrete singular convolution (DSC) method. The resulting set of algebraic equations can then be solved by the Newmark-β integration scheme. Such a singular Dirac-delta formulation is also

APA, Harvard, Vancouver, ISO, and other styles

45

Moazam, S., B. Boroomand, S. Naimi, and M. Celikag. "Wave Propagation in Unbounded Domains under a Dirac Delta Function with FPM." Mathematical Problems in Engineering 2014 (2014): 1–8. http://dx.doi.org/10.1155/2014/470346.

Full text

Abstract:

Wave propagation in unbounded domains is one of the important engineering problems. There have been many attempts by researchers to solve this problem. This paper intends to shed a light on the finite point method, which is considered as one of the best methods to be used for solving problems of wave propagation in unbounded domains. To ensure the reliability of finite point method, wave propagation in unbounded domain is compared with the sinusoidal unit point stimulation. Results indicate that, in the case of applying stimulation along one direction of a Cartesian coordinate, the results of

APA, Harvard, Vancouver, ISO, and other styles

46

Pechentsov, A. S. "Regularized Traces of the Airy Operator Perturbed by the Dirac Delta Function." Differential Equations 55, no. 4 (2019): 483–89. http://dx.doi.org/10.1134/s0012266119040050.

Full text

APA, Harvard, Vancouver, ISO, and other styles

47

Benyon, P. R. "Derivation of dynamic estimation equations by means of the dirac delta function." Mathematics and Computers in Simulation 33, no. 5-6 (1992): 507–12. http://dx.doi.org/10.1016/0378-4754(92)90145-7.

Full text

APA, Harvard, Vancouver, ISO, and other styles

48

Pechentsov, A. S. "Spectral Distribution of the Weber Operator Perturbed by the Dirac Delta Function." Differential Equations 57, no. 8 (2021): 1003–9. http://dx.doi.org/10.1134/s0012266121080048.

Full text

APA, Harvard, Vancouver, ISO, and other styles

49

Lin, Mongkolsery. "On the neutrix composition of x−−slnmx− and ln(1 + x+)." Asian-European Journal of Mathematics 11, no. 06 (2018): 1850086. http://dx.doi.org/10.1142/s1793557118500869.

Full text

Abstract:

The neutrix composition [Formula: see text], [Formula: see text] is a distribution and [Formula: see text] is a locally summable function, is defined as the neutrix limit of the sequence [Formula: see text], where [Formula: see text] and [Formula: see text] is a certain sequence of infinitely differentiable functions converging to the Dirac delta-function [Formula: see text]. The neutrix composition of the distributions [Formula: see text] and [Formula: see text] is evaluated for [Formula: see text] Further related results are also deduced.

APA, Harvard, Vancouver, ISO, and other styles

50

Wu, Bo. "Existence and Continuity of Solutions to a Class of Pseudodifferential Equations overp-Adic Field." Mathematical Problems in Engineering 2013 (2013): 1–6. http://dx.doi.org/10.1155/2013/481672.

Full text

Abstract:

We study the pseudodifferential operatorTαand the pseudodifferential equations of typeTαu+u=δxkoverp-adic fieldℚp, whereδxkis the Dirac delta function. We discuss the existence and uniqueness of solutions to the equations. Furthermore, we give conditions for the continuity of the solutionsukwhenubelongs to the spaceL2(ℚp).

APA, Harvard, Vancouver, ISO, and other styles

We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!