Relevant bibliographies by topics / Differential-difference equations

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Differential-difference equations'

Author: Grafiati
Published: 4 June 2021
Last updated: 28 July 2024

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Journal articles on the topic "Differential-difference equations"

1

Chrastinová, Veronika, and Václav Tryhuk. "Parallelisms between differential and difference equations." Mathematica Bohemica 137, no. 2 (2012): 175–85. http://dx.doi.org/10.21136/mb.2012.142863.

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Romanenko, E. Yu. "Differential-difference equations reducible to difference and q-difference equations." Computers & Mathematics with Applications 42, no. 3-5 (2001): 615–26. http://dx.doi.org/10.1016/s0898-1221(01)00181-x.

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Sedaghat, Hassan. "Difference equations by differential equations methods." Journal of Difference Equations and Applications 22, no. 5 (2015): 724–26. http://dx.doi.org/10.1080/10236198.2015.1099637.

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Mansour, Eman A., and Emad A. Kuffi. "SEE Transform in Difference Equations and Differential-Difference Equations Compared With Neutrosophic Difference Equations." International Journal of Neutrosophic Science 22, no. 4 (2023): 36–43. http://dx.doi.org/10.54216/ijns.220403.

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The Sadiq-Emad-Emann (SEE) transform, also known as operational calculus, has gained significant importance as a fundamental component of the mathematical knowledge necessary for physicists, engineers, mathematicians, and other scientific professionals. This is because the SEE transform offers accessible and efficient resources for resolving several applications and challenges encountered in diverse engineering and science domains. This study aims to introduce the fundamental principles of SEE transformation and establish the validity of two statements and associated attributes. The objective
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Gegen, Hasi, and Xing-Biao Hu. "Three complex differential-difference equations." Partial Differential Equations in Applied Mathematics 5 (June 2022): 100300. http://dx.doi.org/10.1016/j.padiff.2022.100300.

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N'Guérékata, GM, T. Diagana, and A. Pankov. "Abstract Differential and Difference Equations." Advances in Difference Equations 2010, no. 1 (2010): 857306. http://dx.doi.org/10.1186/1687-1847-2010-857306.

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N'Guérékata, G. M., T. Diagana, and A. Pankov. "Abstract Differential and Difference Equations." Advances in Difference Equations 2010 (2010): 1–2. http://dx.doi.org/10.1155/2010/857306.

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Liao, X. X., and X. J. Wang. "Stability for Differential Difference Equations." Journal of Mathematical Analysis and Applications 173, no. 1 (1993): 84–102. http://dx.doi.org/10.1006/jmaa.1993.1054.

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Rong, Jianxun, and Junfeng Xu. "Three Results on the Nonlinear Differential Equations and Differential-Difference Equations." Mathematics 7, no. 6 (2019): 539. http://dx.doi.org/10.3390/math7060539.

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We mainly study the transcendental entire solutions of the differential equation f n ( z ) + P ( f ) = p 1 e α 1 z + p 2 e α 2 z , where p 1 , p 2 , α 1 and α 2 are nonzero constants satisfying α 1 ≠ α 2 and P ( f ) is a differential polynomial in f of degree n − 1 . We improve Chen and Gao’s results and partially answer a question proposed by Li (J. Math. Anal. Appl. 375 (2011), pp. 310–319).
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Abrahamson, David L. "Pursuing Analogies between Differential Equations and Difference Equations." American Mathematical Monthly 96, no. 9 (1989): 827. http://dx.doi.org/10.2307/2324848.

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Dissertations / Theses on the topic "Differential-difference equations"

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Khanizadeh, Farbod. "Symmetry structure for differential-difference equations." Thesis, University of Kent, 2014. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.655204.

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Having infinitely many generalised symmetries is one of the definition of integrability for non-linear differential-difference equations. Therefore, it is important to develop tools by which we can produce these quantities and guarantee the integrability. Two different methods of producing generalised symmetries are studied throughout this thesis, namely recursion operators and master symmetries. These are objects that enable one to obtain the hierarchy of symmetries by recursive action on a known symmetry of a given equation. Our first result contains new Hamiltonian, symplectic and recursion
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Hendriks, Peter Anne. "Algebraic aspects of linear differential and difference equations." [S.l. : [Groningen] : s.n.] ; [University Library Groningen] [Host], 1996. http://irs.ub.rug.nl/ppn/153769580.

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Xue, Fei. "Asymptotic solutions of almost diagonal differential and difference systems." Morgantown, W. Va. : [West Virginia University Libraries], 2006. https://eidr.wvu.edu/etd/documentdata.eTD?documentid=4556.

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Cheema, Tasleem Akhter. "Higher-order finite-difference methods for partial differential equations." Thesis, Brunel University, 1997. http://bura.brunel.ac.uk/handle/2438/7131.

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This thesis develops two families of numerical methods, based upon rational approximations having distinct real poles, for solving first- and second-order parabolic/ hyperbolic partial differential equations. These methods are thirdand fourth-order accurate in space and time, and do not require the use of complex arithmetic. In these methods first- and second-order spatial derivatives are approximated by finite-difference approximations which produce systems of ordinary differential equations expressible in vector-matrix forms. Solutions of these systems satisfy recurrence relations which lead
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Bowen, Matthew K. "High-order finite difference methods for partial differential equations." Thesis, Loughborough University, 2005. https://dspace.lboro.ac.uk/2134/13492.

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General n-point formulae for difference operators and their errors are derived in terms of elementary symmetric functions. These are used to derive high-order, compact and parallelisable finite difference schemes for the decay-advection-diffusion and linear damped Korteweg-de Vnes equations. Stability calculations are presented and the speed and accuracy of the schemes is compared to that of other finite difference methods in common use. Appendices contain useful tables of difference operators and errors and present a stability proof for quadratic inequalities. For completeness, the appendices
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Kıran, Güçoğlu Arzu Tanoğlu Gamze. "The solution of some differential equations by nonstandard finite difference method/." [S.l.] : [s.n.], 2005. http://library.iyte.edu.tr/tezler/master/matematik/T000332.pdf.

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Thesis (Master)--İzmir Institute of Technology, İzmir, 2005<br>Keywords: Nonlinear differential equations, finite difference method, numeric simulation. Includes bibliographical references (leaves. 55-57).
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Woods, Berietta F. "Numerical instabilities in finite-difference models of ordinary differential equations." DigitalCommons@Robert W. Woodruff Library, Atlanta University Center, 1989. http://digitalcommons.auctr.edu/dissertations/389.

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We investigate various mechanisms for the occurrence of numerical instabilities in the discrete modeling of ordinary differential equations by finite-differences. The Logistic equation is used to illustrate the three types of numerical instabilities. Our results can be easily generalized to arbitrary first-order differential equations.
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Wu, Shuhui. "The asymptotic and oscillatory behaviour of difference and differential equations." Thesis, London Metropolitan University, 2009. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.507092.

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Xu, Yuhua. "Disconjugacy and Oscillation Theory of Linear Differential and Difference Equations." DigitalCommons@USU, 1992. https://digitalcommons.usu.edu/etd/7130.

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This dissertation is both a literature survey and a presentation of new and independent results. The survey gives an overview of disconjugacy and oscillation theory for linear differential and difference equations with an emphasis on comparing the theory of difference equations to the theory of differential equations. higher order scalar equations. Second order scalar equations, matrix equations (systems) and Hamiltonian systems are discussed. A chapter on three-term recurrences of systems is also included. Both similarities and differences between differential and difference equations are des
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El-Nakla, Jehad A. H. "Finite difference methods for solving mildly nonlinear elliptic partial differential equations." Thesis, Loughborough University, 1987. https://dspace.lboro.ac.uk/2134/10417.

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This thesis is concerned with the solution of large systems of linear algebraic equations in which the matrix of coefficients is sparse. Such systems occur in the numerical solution of elliptic partial differential equations by finite-difference methods. By applying some well-known iterative methods, usually used to solve linear PDE systems, the thesis investigates their applicability to solve a set of four mildly nonlinear test problems. In Chapter 4 we study the basic iterative methods and semiiterative methods for linear systems. In particular, we derive and apply the CS, SOR, SSOR methods
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Books on the topic "Differential-difference equations"

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Lick, Wilbert James. Difference Equations from Differential Equations. Springer Berlin Heidelberg, 1989. http://dx.doi.org/10.1007/978-3-642-83701-2.

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Lick, Wilbert J. Difference equations from differential equations. Springer-Verlag, 1989.

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Maximon, Leonard C. Differential and Difference Equations. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-29736-1.

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Csiszár, Imre, and György Michaletzky. Stochastic Differential and Difference Equations. Birkhäuser Boston, 1997. http://dx.doi.org/10.1007/978-1-4612-1980-4.

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Csiszár, Imre. Stochastic Differential and Difference Equations. Birkhäuser Boston, 1997.

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1938-, Csiszár Imre, Michaletzky György 1950-, and Conference on Stochastic Differential and Difference Equations (1996 : Győr, Hungary), eds. Stochastic differential and difference equations. Birkhäuser, 1997.

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Pinelas, Sandra, John R. Graef, Stefan Hilger, Peter Kloeden, and Christos Schinas, eds. Differential and Difference Equations with Applications. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-56323-3.

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Pinelas, Sandra, Tomás Caraballo, Peter Kloeden, and John R. Graef, eds. Differential and Difference Equations with Applications. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-75647-9.

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Pinelas, Sandra, Zuzana Došlá, Ondřej Došlý, and Peter E. Kloeden, eds. Differential and Difference Equations with Applications. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-32857-7.

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Pinelas, Sandra, Michel Chipot, and Zuzana Dosla, eds. Differential and Difference Equations with Applications. Springer New York, 2013. http://dx.doi.org/10.1007/978-1-4614-7333-6.

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Book chapters on the topic "Differential-difference equations"

1

Koller, Michael. "Difference Equations and Differential Equations." In Stochastic Models in Life Insurance. Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-28439-7_5.

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Dym, Harry. "Difference equations and differential equations." In Graduate Studies in Mathematics. American Mathematical Society, 2013. http://dx.doi.org/10.1090/gsm/078/13.

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Hale, Jack K., and Sjoerd M. Verduyn Lunel. "Linear differential difference equations." In Introduction to Functional Differential Equations. Springer New York, 1993. http://dx.doi.org/10.1007/978-1-4612-4342-7_2.

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Gandolfo, Giancarlo. "Mixed Differential-Difference Equations." In Economic Dynamics. Springer Berlin Heidelberg, 1997. http://dx.doi.org/10.1007/978-3-662-06822-9_27.

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Gandolfo, Giancarlo. "Mixed Differential-Difference Equations." In Economic Dynamics. Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-642-03871-6_26.

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Ortega, James M. "Differential and Difference Equations." In Matrix Theory. Springer US, 1987. http://dx.doi.org/10.1007/978-1-4899-0471-3_5.

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De Concini, Corrado, and Claudio Procesi. "Differential and Difference Equations." In Topics in Hyperplane Arrangements, Polytopes and Box-Splines. Springer New York, 2010. http://dx.doi.org/10.1007/978-0-387-78963-7_5.

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Berinde, Vasile. "Difference and Differential Equations." In Exploring, Investigating and Discovering in Mathematics. Birkhäuser Basel, 2004. http://dx.doi.org/10.1007/978-3-0348-7889-0_24.

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Haghighi, Aliakbar Montazer, Abburi Anil Kumar, and Dimitar P. Mishev. "Differential and Difference Equations." In Higher Mathematics for Science and Engineering. Springer Nature Singapore, 2024. http://dx.doi.org/10.1007/978-981-99-5431-5_3.

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Shaikhet, Leonid. "Difference Equations as Difference Analogues of Differential Equations." In Lyapunov Functionals and Stability of Stochastic Difference Equations. Springer London, 2011. http://dx.doi.org/10.1007/978-0-85729-685-6_10.

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Conference papers on the topic "Differential-difference equations"

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Pinelas, Sandra. "Oscillatory Mixed Differential Difference Equations." In Proceedings of the Twelfth International Conference on Difference Equations and Applications. WORLD SCIENTIFIC, 2010. http://dx.doi.org/10.1142/9789814287654_0029.

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"Functional differential and difference equations." In Proceedings of the 7th International ISAAC Congress. WORLD SCIENTIFIC, 2010. http://dx.doi.org/10.1142/9789814313179_others12.

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Mehdi, Sadiq A., Emad A. Kuffi, and Jinan A. Jasim. "The SEJI integral transform in difference equations and differential difference equations." In 4TH INTERNATIONAL SCIENTIFIC CONFERENCE OF ALKAFEEL UNIVERSITY (ISCKU 2022). AIP Publishing, 2023. http://dx.doi.org/10.1063/5.0183873.

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HICKMAN, MARK S., and WILLY A. HEREMAN. "DENSITIES AND FLUXES OF DIFFERENTIAL-DIFFERENCE EQUATIONS." In Proceedings of the Sixth Asian Symposium (ASCM 2003). WORLD SCIENTIFIC, 2003. http://dx.doi.org/10.1142/9789812704436_0013.

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"Oscillation of Functional Differential and Difference Equations." In Proceedings of the 6th International ISAAC Congress. WORLD SCIENTIFIC, 2009. http://dx.doi.org/10.1142/9789812837332_others08.

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LI, ZIMING. "DETERMINANT FORMULAS FOR INHOMOGENEOUS LINEAR DIFFERENTIAL, DIFFERENCE AND Q-DIFFERENCE EQUATIONS." In Proceedings of the Fourth Asian Symposium (ASCM 2000). WORLD SCIENTIFIC, 2000. http://dx.doi.org/10.1142/9789812791962_0030.

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Abramov, Sergei A., and Marko Petkovšek. "D'Alembertian solutions of linear differential and difference equations." In the international symposium. ACM Press, 1994. http://dx.doi.org/10.1145/190347.190412.

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Lassal, Hakima, and Benharrat Belaϊdi. "Growth of Solutions of Homogeneous Differential–Difference Equations." In IOCMA 2023. MDPI, 2023. http://dx.doi.org/10.3390/iocma2023-14381.

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Ashyralyev, Allaberen, and Fathi Emharab. "Source identification problems for hyperbolic differential and difference equations." In INTERNATIONAL CONFERENCE “FUNCTIONAL ANALYSIS IN INTERDISCIPLINARY APPLICATIONS” (FAIA2017). Author(s), 2017. http://dx.doi.org/10.1063/1.5000617.

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LEVI, D. "MULTI-SCALE REDUCTION FOR DIFFERENTIAL DIFFERENCE EQUATIONS AND INTEGRABILITY." In Proceedings of the ICM2002 Satellite Conference. WORLD SCIENTIFIC, 2003. http://dx.doi.org/10.1142/9789812795366_0009.

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Reports on the topic "Differential-difference equations"

1

Hyman, J. M., M. Shashkov, M. Staley, S. Kerr, S. Steinberg, and J. Castillo. Mimetic difference approximations of partial differential equations. Office of Scientific and Technical Information (OSTI), 1997. http://dx.doi.org/10.2172/518902.

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Mickens, Ronald E. Mathematical and Numerical Studies of Nonstandard Difference Equation Models of Differential Equations. Office of Scientific and Technical Information (OSTI), 2008. http://dx.doi.org/10.2172/965764.

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MacLachlan, J. A., and /Fermilab. Distinction between difference and differential equations of motion for synchrotron motion. Office of Scientific and Technical Information (OSTI), 2007. http://dx.doi.org/10.2172/920428.

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Cloutman, L. D. ,. LLNL. Choas and instabilities in finite difference approximations to nonlinear differential equations. Office of Scientific and Technical Information (OSTI), 1998. http://dx.doi.org/10.2172/292334.

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Mickens, Ronald E. Mathematical and numerical studies of nonstandard difference equation models of differential equations. Final technical report. Office of Scientific and Technical Information (OSTI), 2001. http://dx.doi.org/10.2172/805475.

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Cloutman, L. D. A note on the stability and accuracy of finite difference approximations to differential equations. Office of Scientific and Technical Information (OSTI), 1996. http://dx.doi.org/10.2172/420369.

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Mickens, R. E. Mathematical and numerical studies of nonstandard difference equation models of differential equations. Final technical report, September 1995--September 1997. Office of Scientific and Technical Information (OSTI), 1997. http://dx.doi.org/10.2172/607508.

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Ostashev, Vladimir, Michael Muhlestein, and D. Wilson. Extra-wide-angle parabolic equations in motionless and moving media. Engineer Research and Development Center (U.S.), 2021. http://dx.doi.org/10.21079/11681/42043.

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Wide-angle parabolic equations (WAPEs) play an important role in physics. They are derived by an expansion of a square-root pseudo-differential operator in one-way wave equations, and then solved by finite-difference techniques. In the present paper, a different approach is suggested. The starting point is an extra-wide-angle parabolic equation (EWAPE) valid for small variations of the refractive index of a medium. This equation is written in an integral form, solved by a perturbation technique, and transformed to the spectral domain. The resulting split-step spectral algorithm for the EWAPE a
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