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Dissertations / Theses on the topic 'Bessel's equation'

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Published: 4 June 2025

Last updated: 1 August 2025

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1

Witenberg, Anna. "Zastosowanie wybranej klasy wielomianów do zapewnienia stabilności późnoczasowego rozwiązania równań EFIE modelujących anteny liniowe." Rozprawa doktorska, Uniwersytet Technologiczno-Przyrodniczy w Bydgoszczy, 2015. http://dlibra.utp.edu.pl/Content/818.

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W pracy zaproponowano metodę hybrydową polegającą na mieszanym numeryczno-analitycznym opisie procesu ograniczenia lub uniknięcia utraty stabilności obliczeń późnoczasowego rozwiązania całkowych równań pola elektrycznego modelujących anteny liniowe w dziedzinie czasu. Pokazano zastosowanie w metodzie hybrydowej wybranych funkcji, głównie wielomianów pozwalających na uproszczenie procesu aproksymacji w części analitycznej

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2

Takata, Tomohiro. "Certain multiple orthogonal polynomials and a discretization of the Bessel equation." 京都大学 (Kyoto University), 2006. http://hdl.handle.net/2433/144354.

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Kyoto University (京都大学)<br>0048<br>新制・課程博士<br>博士(理学)<br>甲第11975号<br>理博第2955号<br>新制||理||1442(附属図書館)<br>23788<br>UT51-2006-C655<br>京都大学大学院理学研究科数学・数理解析専攻<br>(主査)教授上野健爾, 教授井川満, 教授河野明<br>学位規則第4条第1項該当

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3

Coelho, João Bosco. "Corda vibrante e telegrafo : estudo analitico de problemas modelados por equações diferenciais." [s.n.], 2008. http://repositorio.unicamp.br/jspui/handle/REPOSIP/307008.

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Orientador: Edmundo Capelas de Oliveira<br>Dissertação (mestrado profissional) - Universidade Estadual de Campinas, Instituto de Matematica, Estatistica e Computação Cientifica<br>Made available in DSpace on 2018-08-11T05:13:17Z (GMT). No. of bitstreams: 1 Coelho_JoaoBosco_M.pdf: 1003588 bytes, checksum: c8b5b0bbc0f7fe49adbeacc39f398bcf (MD5) Previous issue date: 2008<br>Resumo: Efetua-se um estudo sistemático das equações diferenciais parciais, lineares, de segunda ordem e do tipo hiperbólico, isto é, aquelas equações que estão associadas com o problema envolvendo a propagação de ondas. Com

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4

Rodrigues, Fabio Grangeiro 1980. "Sobre cálculo fracionário e soluções da equação de Bessel." [s.n.], 2015. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306992.

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Orientador: Edmundo Capelas de Oliveira<br>Tese (doutorado) - Universidade Estadual de Campinas, Instituto de Matemática Estatística e Computação Científica<br>Made available in DSpace on 2018-08-26T23:00:41Z (GMT). No. of bitstreams: 1 Rodrigues_FabioGrangeiro_D.pdf: 1185818 bytes, checksum: 96f82c6ff4622e4ecdd3ccae79803dae (MD5) Previous issue date: 2015<br>Resumo: Neste trabalho é apresentado um modo de se obter soluções de um caso particular da equação hipergeométrica confluente, a equação de Bessel de ordem p, utilizando-se da teoria do cálculo de ordem arbitrária, também conhecido pop

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5

Chellali, Mustapha. "Congruences, nombres de Bernoulli et polynômes de Bessel." Université Joseph Fourier (Grenoble ; 1971-2015), 1989. http://www.theses.fr/1989GRE10091.

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En premiere partie, on donne des congruences entre nombres de bernoulli-hcowitz dans le cas supersingulier. En deuxieme partie, on montre que la suite des nombres de bernoulli verifie des formules de recurrence qui servent a tester si un nombre premier est irregulier. En troisieme partie, on etudie les zeros des polynomes de bessel generalises, en particulier on encadre un zero reel, apres developpement asymptotique, et on donne des estimations uniformes des valeurs de ces polynomes

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6

Zhelezov, Gleb, and Gleb Zhelezov. "Coalescing Particle Systems and Applications to Nonlinear Fokker-Planck Equations." Diss., The University of Arizona, 2017. http://hdl.handle.net/10150/624562.

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We study a stochastic particle system with a logarithmically-singular inter-particle interaction potential which allows for inelastic particle collisions. We relate the squared Bessel process to the evolution of localized clusters of particles, and develop a numerical method capable of detecting collisions of many point particles without the use of pairwise computations, or very refined adaptive timestepping. We show that when the system is in an appropriate parameter regime, the hydrodynamic limit of the empirical mass density of the system is a solution to a nonlinear Fokker-Planck equation,

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7

Chen, Huyuan. "Fully linear elliptic equations and semilinear fractionnal elliptic equations." Thesis, Tours, 2014. http://www.theses.fr/2014TOUR4001/document.

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Cette thèse est divisée en six parties. La première partie est consacrée à l'étude de propriétés de Hadamard et à l'obtention de théorèmes de Liouville pour des solutions de viscosité d'équations aux dérivées partielles elliptiques complètement non-linéaires avec des termes de gradient,<br>This thesis is divided into six parts. The first part is devoted to prove Hadamard properties and Liouville type theorems for viscosity solutions of fully nonlinear elliptic partial differential equations with gradient term

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8

Polat, Zeynep Sonay. "Studies On The Generalized And Reverse Generalized Bessel Polynomials." Master's thesis, METU, 2004. http://etd.lib.metu.edu.tr/upload/12604961/index.pdf.

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The special functions and, particularly, the classical orthogonal polynomials encountered in many branches of applied mathematics and mathematical physics satisfy a second order differential equation, which is known as the equation of the hypergeometric type. The variable coefficients in this equation of the hypergeometric type are of special structures. Depending on the coefficients the classical orthogonal polynomials associated with the names Jacobi, Laguerre and Hermite can be derived as solutions of this equation. In this thesis, these well known classical polynomials as well as another

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9

Zhang, Lei, University of Western Sydney, of Science Technology and Environment College, and School of Engineering and Industrial Design. "Exact solution for vibration of stepped circular Mindlin plates." THESIS_CSTE_EID_Zhang_L.xml, 2002. http://handle.uws.edu.au:8081/1959.7/64.

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This thesis presents the first-known exact solutions for vibration of stepped circular Mindlin plates. The considered circular plate is of several step-wise variation in thickness in the radial direction. The Mindlin first order shear deformable plate theory is employed to derive the governing differential equations for the annular and circular segments. The exact solutions to these differential equations may be expressed in terms of the Bessel functions of the first and second kinds and the modified Bessel functions of the first and second kinds. The governing homogenous system of equations i

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10

GOFFI, ALESSANDRO. "Topics in nonlinear PDEs: from Mean Field Games to problems modeled on Hörmander vector fields." Doctoral thesis, Gran Sasso Science Institute, 2019. http://hdl.handle.net/20.500.12571/9808.

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This thesis focuses on qualitative and quantitative aspects of some nonlinear PDEs arising in optimal control and differential games, ranging from regularity issues to maximum principles. More precisely, it is concerned with the analysis of some fully nonlinear second order degenerate PDEs over Hörmander vector fields that can be written in Hamilton-Jacobi-Bellman and Isaacs form and those arising in the recent theory of Mean Field Games, where the prototype model is described by a coupled system of PDEs involving a backward Hamilton-Jacobi and a forward Fokker-Planck equation. The thesis is d

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11

Bendaas, Saïda. "Quelques applications de l'analyse non standard aux équations aux dérivées partielles." Mulhouse, 1994. http://www.theses.fr/1994MULH0298.

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12

Nguyen, Cu Ngoc. "Stochastic differential equations with long-memory input." Thesis, Queensland University of Technology, 2001.

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13

Macbeth, Tyler James. "Conjugate Heat Transfer and Average Versus Variable Heat Transfer Coefficients." BYU ScholarsArchive, 2016. https://scholarsarchive.byu.edu/etd/5801.

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An average heat transfer coefficient, h_bar, is often used to solve heat transfer problems. It should be understood that this is an approximation and may provide inaccurate results, especially when the temperature field is of interest. The proper method to solve heat transfer problems is with a conjugate approach. However, there seems to be a lack of clear explanations of conjugate heat transfer in literature. The objective of this work is to provide a clear explanation of conjugate heat transfer and to determine the discrepancy in the temperature field when the interface boundary condition is

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14

Nakamura, Márcia Mayumi. "Equações diferenciais, separação de variáveis e o problema de forças centrais." [s.n.], 2011. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306999.

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Orientador: Edmundo Capelas de Oliveira<br>Dissertação (mestrado profissional) - Universidade Estadual de Campinas, Instituto de Matemática, Estatística e Computação Científica<br>Made available in DSpace on 2018-08-17T12:38:24Z (GMT). No. of bitstreams: 1 Nakamura_MarciaMayumi_M.pdf: 683963 bytes, checksum: 0fbcfd687c511e4845ba13501415f91e (MD5) Previous issue date: 2011<br>Resumo: Efetuamos um estudo sistemático envolvendo o caso geral de uma equação diferencial parcial, linear, de segunda ordem, com n variáveis independentes. Particularizamos para o caso bidimensional, n = 2, duas variáve

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15

McVinish, Ross Stewart. "Stochastic analysis and approximation of fractional diffusion." Thesis, Queensland University of Technology, 2002.

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16

Bugdayci, Necmi. "Scalar Waves In Spacetimes With Closed Timelike Curves." Phd thesis, METU, 2005. http://etd.lib.metu.edu.tr/upload/12607107/index.pdf.

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The existence and -if exists- the nature of the solutions of the scalar wave equation in spacetimes with closed timelike curves are investigated. The general properties of the solutions on some class of spacetimes are obtained. Global monochromatic solutions of the scalar wave equation are obtained in flat wormholes of dimensions 2+1 and 3+1. The solutions are in the form of infinite series involving cylindirical and spherical wave functions and they are elucidated by the multiple scattering method. Explicit solutions for some limiting cases are illustrated as well. The results of 2+1 dimensi

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17

Zhang, Lei. "Exact solution for vibration of stepped circular Mindlin plates." Thesis, View thesis, 2002. http://handle.uws.edu.au:8081/1959.7/64.

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This thesis presents the first-known exact solutions for vibration of stepped circular Mindlin plates. The considered circular plate is of several step-wise variation in thickness in the radial direction. The Mindlin first order shear deformable plate theory is employed to derive the governing differential equations for the annular and circular segments. The exact solutions to these differential equations may be expressed in terms of the Bessel functions of the first and second kinds and the modified Bessel functions of the first and second kinds. The governing homogenous system of equations i

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18

Nguyen, Phuoc Tai. "Trace au bord de solutions d'équations de Hamilton-Jacobi elliptiques et trace initiale de solutions d'équations de la chaleur avec absorption sur-linéaire." Phd thesis, Université François Rabelais - Tours, 2012. http://tel.archives-ouvertes.fr/tel-00710410.

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Cette thèse est constituée de trois parties. Dans la première partie, on s'intéresse au problème de trace au bord d'une solution positive de l'équation de Hamilton-Jacobi (E1) $-\Delta u+g(|\nabla u|)=0$ dans un domaine borné $\Omega$ de ${\mathbb R}^N$, satisfaisant (E2) $u = \mu$ sur $\partial \Omega$. Si $g(r) \geq r^q$ avec $q > 1$, on prouve que toute solution positive de (E1) admet une trace au bord considérée comme une mesure de Borel régulière, pas nécessairement localement bornée. Si $g(r) = r^q$ avec $1 < q < q_c = \frac{N+1}{N}$ , on montre l'existence d'une solution positive dont l

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19

Nguyen, Quoc-Hung. "THÉORIE NON LINÉAIRE DU POTENTIEL ET ÉQUATIONS QUASILINÉAIRES AVEC DONNÉES MESURES." Phd thesis, Université François Rabelais - Tours, 2014. http://tel.archives-ouvertes.fr/tel-01063365.

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Cette thése concerne l'existence et la régularité de solutions d'équations non-linéaires elliptiques, d'équations paraboliques et d'équations de Hesse avec mesures, et les critéres de l'existence de solutions grandes d'équations elliptiques et paraboliques non-linéaires. \textbf{Liste de publications} \begin{description} \item[1.] Avec M. F. Bidaut-Véron, L. Véron; {\em Quasilinear Lane-Emden equations with absorption and measure data,} Journal des Mathématiques Pures et Appliquées,~{\bf 102}, 315-337 (2014). \item[2] Avec L. Véron; {\em Quasilinear and Hessian type equations with exponential

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20

Teixeira, Nicácio De Messias Alan. "Stochastic Analysis of non-Markovian irregular phenomena." Electronic Thesis or Diss., Institut polytechnique de Paris, 2022. http://www.theses.fr/2022IPPAE006.

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Cette thèse se concentre sur certains aspects d'analyse stochastique de modèles non-markoviens irréguliers. On formule existence et unicité pour certains problèmes de martingales impliquant deux types de dérive irrégulière perturbée par des fonctionnelles dépendant de la trajectoire. Dans le premier cas, on considère le cas où la dérive est la dérivée d'une fonction continue: le modèle correspondant est celui de milieux aléatoires irréguliers dépendant de la trajectoire. Le second concerne le cas où la dérive est celui d'un processus de Bessel en basse dimension: dans ce cas il est bien connu

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21

Pesee, Chatchai. "Stochastic modelling of financial processes with memory and semi-heavy tails." Thesis, Queensland University of Technology, 2005. https://eprints.qut.edu.au/16057/2/Chatchai%20Pesee%20Thesis.pdf.

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This PhD thesis aims to study financial processes which have semi-heavy-tailed marginal distributions and may exhibit memory. The traditional Black-Scholes model is expanded to incorporate memory via an integral operator, resulting in a class of market models which still preserve the completeness and arbitragefree conditions needed for replication of contingent claims. This approach is used to estimate the implied volatility of the resulting model. The first part of the thesis investigates the semi-heavy-tailed behaviour of financial processes. We treat these processes as continuous-t

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22

Pesee, Chatchai. "Stochastic Modelling of Financial Processes with Memory and Semi-Heavy Tails." Queensland University of Technology, 2005. http://eprints.qut.edu.au/16057/.

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This PhD thesis aims to study financial processes which have semi-heavy-tailed marginal distributions and may exhibit memory. The traditional Black-Scholes model is expanded to incorporate memory via an integral operator, resulting in a class of market models which still preserve the completeness and arbitragefree conditions needed for replication of contingent claims. This approach is used to estimate the implied volatility of the resulting model. The first part of the thesis investigates the semi-heavy-tailed behaviour of financial processes. We treat these processes as continuous-t

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23

Shyu, Jaw-Chian, and 徐肇謙. "Solutions for a class of generalizedassociated Bessel equations." Thesis, 2002. http://ndltd.ncl.edu.tw/handle/81564748810783572683.

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碩士<br>中原大學<br>數學研究所<br>90<br>The subject of fractional calculus(that is, integrals and derivatives of any arbitrary real or complex order) has gained importance and popularity during the past three decades or so, due mainly to its demonstrated applications in numerous seemingly diverse and widespread fields of science and engineering. Many authors have recently demonstrated the usefulness of fractional calculus in the derivation of particular solutions of a number of linear ordinary and partial differential equations of the second and higher orders. In this paper, we will discuss the solutions

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24

Chich, Ling-Wei, and 凌維志. "Studies on relationships between the solutions of Bessel equation and special functions." Thesis, 2004. http://ndltd.ncl.edu.tw/handle/uqu9zk.

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碩士<br>中原大學<br>應用數學研究所<br>92<br>Introduction The two equations would be derived which are known as Bessel and Legendre equation while we treat that steady state heat equation (that is , Laplace equation) . Traditionally , mathematicians use the method of Frobenius to get a series solution for more than one hundred years. Traditionally , we always could not obtain a closed form solution by differential or calculus directly, new finding of particular solutions for a generalized associated Legendre equation by profession Shy-Der Lin and K. Nishimoto , and particular solutions of Bessel equation

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25

Κοκολογιαννάκη-Κωνσταντοπούλου, Χρυσή. "Μελέτη των ριζών μικτών συναρτήσεων Bessel". Thesis, 1990. http://hdl.handle.net/10889/8493.

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Στην παρούσα διατριβή μελετώνται οι ρίζες της συνάρτησης Mν(z), στην περίπτωση όπου οι συναρτήσεις F(z) και G(z) είναι της μορφής: y(z) = Σ ynzn-1 αναλυτικές στον μοναδιαίο δίσκο και πληρούν τη συνθήκη: Σ |yn|2 < ∞, δηλ. ανήκουν στον χώρο Hardy-Lebesgue Η2 (Δ).<br>--

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26

Kravchenko, Igor Viktorovich. "Valuation of financial derivatives through transmutation operator methods." Doctoral thesis, 2018. http://hdl.handle.net/10071/17092.

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Nowadays there is a fast development of the methods based on transmutation operators (TO) theory for solving differential equations. The possibility to construct the images of solutions for TO in certain cases allowed the construction of accurate numerical solutions to several problems that appear in different applied fields. In the present work, for the first time, it is shown that these methods can be effectively applied to the optimal stopping problems that appear in mathematical finance. The first part of the thesis (Chapter 2) consists of an application of the method to the valuation of

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