Solving mixed boundary value problems using dual integral equations and dual series solution

Solving mixed boundary value problems using dual integral equations and dual series solution

Dual integral equations arise when integral transforms are used to solve mixed boundary value problems of mathematical physics and mechanics. A formal technique for solving such equations have been developed. In specific mixed boundary value problems, Fourier transforms are applied, and subsequently...

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Main Author: Umar, Abubakar
Format: Thesis
Language:English
Published: 2020
Subjects:
QA Mathematics
Online Access:http://eprints.utm.my/id/eprint/101936/1/AbubakarUmarMFS2020.pdf
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spelling my-utm-ep.1019362023-07-25T09:35:35Z Solving mixed boundary value problems using dual integral equations and dual series solution 2020 Umar, Abubakar QA Mathematics Dual integral equations arise when integral transforms are used to solve mixed boundary value problems of mathematical physics and mechanics. A formal technique for solving such equations have been developed. In specific mixed boundary value problems, Fourier transforms are applied, and subsequently, dual integral equations involving Bessel and trigonometric functions have been obtained. The present work aims to consider solvability and solution of systems of dual integral equations involving Fourier transform occurring in mixed boundary value problems for the Laplace’s equation with mixed Dirichlet-Neumann boundary conditions. The use of Abel’s integral transform was employed. Furthermore, Mathematica software has been used to obtain graphical solutions to the problems. 2020 Thesis http://eprints.utm.my/id/eprint/101936/ http://eprints.utm.my/id/eprint/101936/1/AbubakarUmarMFS2020.pdf application/pdf en public http://dms.library.utm.my:8080/vital/access/manager/Repository/vital:146269 masters Universiti Teknologi Malaysia, Faculty of Science Faculty of Science
institution Universiti Teknologi Malaysia
collection UTM Institutional Repository
language English
topic QA Mathematics
spellingShingle QA Mathematics
Umar, Abubakar
Solving mixed boundary value problems using dual integral equations and dual series solution
description Dual integral equations arise when integral transforms are used to solve mixed boundary value problems of mathematical physics and mechanics. A formal technique for solving such equations have been developed. In specific mixed boundary value problems, Fourier transforms are applied, and subsequently, dual integral equations involving Bessel and trigonometric functions have been obtained. The present work aims to consider solvability and solution of systems of dual integral equations involving Fourier transform occurring in mixed boundary value problems for the Laplace’s equation with mixed Dirichlet-Neumann boundary conditions. The use of Abel’s integral transform was employed. Furthermore, Mathematica software has been used to obtain graphical solutions to the problems.
format Thesis
qualification_level Master's degree
author Umar, Abubakar
author_facet Umar, Abubakar
author_sort Umar, Abubakar
title Solving mixed boundary value problems using dual integral equations and dual series solution
title_short Solving mixed boundary value problems using dual integral equations and dual series solution
title_full Solving mixed boundary value problems using dual integral equations and dual series solution
title_fullStr Solving mixed boundary value problems using dual integral equations and dual series solution
title_full_unstemmed Solving mixed boundary value problems using dual integral equations and dual series solution
title_sort solving mixed boundary value problems using dual integral equations and dual series solution
granting_institution Universiti Teknologi Malaysia, Faculty of Science
granting_department Faculty of Science
publishDate 2020
url http://eprints.utm.my/id/eprint/101936/1/AbubakarUmarMFS2020.pdf
_version_ 1776100807292223488

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