Approximate Analytical Methods For Solving Fredholm Integral Equations

Persamaan kamiran memainkan peranan penting dalam banyak bidang sains seperti matematik, biologi, kimia, fizik, mekanik dan kejuruteraan. Oleh yang demikian,pelbagai teknik berbeza telah digunakan untuk menyelesaikan persamaan jenis ini. Kajian ini, memfokus kepada analisis secara matematik dan b...

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Main Author:	Taleb Almousa, Mohammad Salameh
Format:	Thesis
Language:	English
Published:	2015
Subjects:	QA1 Mathematics (General)
Online Access:	http://eprints.usm.my/30359/1/Thesis.pdf
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id	my-usm-ep.30359
record_format	uketd_dc
spelling	my-usm-ep.303592019-04-12T05:25:49Z Approximate Analytical Methods For Solving Fredholm Integral Equations 2015-02 Taleb Almousa, Mohammad Salameh QA1 Mathematics (General) Persamaan kamiran memainkan peranan penting dalam banyak bidang sains seperti matematik, biologi, kimia, fizik, mekanik dan kejuruteraan. Oleh yang demikian,pelbagai teknik berbeza telah digunakan untuk menyelesaikan persamaan jenis ini. Kajian ini, memfokus kepada analisis secara matematik dan berangka bagi beberapa kes persamaan kamiran Fredholm yang linear dan bukan linear. Kes-kes ini termasuklah persamaan kamiran Fredholm satu dimensi jenis pertama dan kedua, persamaan kamiran Fredholm dua dimensi jenis pertama dan kedua dan sistem persamaan kamiran Fredholm satu dimensi dan dua dimensi. Integral equations play an important role in many branches of sciences such as mathematics, biology, chemistry, physics, mechanics and engineering. Therefore, many different techniques are used to solve these types of equations. This study focuses on the mathematical and numerical analysis of some cases of linear and nonlinear Fredholm integral equations. These cases are one-dimensional Fredholm integral equations of the first kind and second kind, two-dimensional Fredholm integral equations of the first kind and second kind and systems of one and two-dimensional Fredholm integral equations. 2015-02 Thesis http://eprints.usm.my/30359/ http://eprints.usm.my/30359/1/Thesis.pdf application/pdf en public phd doctoral Universiti Sains Malaysia Pusat Pengajian Sains Matematik
institution	Universiti Sains Malaysia
collection	USM Institutional Repository
language	English
topic	QA1 Mathematics (General)
spellingShingle	QA1 Mathematics (General) Taleb Almousa, Mohammad Salameh Approximate Analytical Methods For Solving Fredholm Integral Equations
description	Persamaan kamiran memainkan peranan penting dalam banyak bidang sains seperti matematik, biologi, kimia, fizik, mekanik dan kejuruteraan. Oleh yang demikian,pelbagai teknik berbeza telah digunakan untuk menyelesaikan persamaan jenis ini. Kajian ini, memfokus kepada analisis secara matematik dan berangka bagi beberapa kes persamaan kamiran Fredholm yang linear dan bukan linear. Kes-kes ini termasuklah persamaan kamiran Fredholm satu dimensi jenis pertama dan kedua, persamaan kamiran Fredholm dua dimensi jenis pertama dan kedua dan sistem persamaan kamiran Fredholm satu dimensi dan dua dimensi. Integral equations play an important role in many branches of sciences such as mathematics, biology, chemistry, physics, mechanics and engineering. Therefore, many different techniques are used to solve these types of equations. This study focuses on the mathematical and numerical analysis of some cases of linear and nonlinear Fredholm integral equations. These cases are one-dimensional Fredholm integral equations of the first kind and second kind, two-dimensional Fredholm integral equations of the first kind and second kind and systems of one and two-dimensional Fredholm integral equations.
format	Thesis
qualification_name	Doctor of Philosophy (PhD.)
qualification_level	Doctorate
author	Taleb Almousa, Mohammad Salameh
author_facet	Taleb Almousa, Mohammad Salameh
author_sort	Taleb Almousa, Mohammad Salameh
title	Approximate Analytical Methods For Solving Fredholm Integral Equations
title_short	Approximate Analytical Methods For Solving Fredholm Integral Equations
title_full	Approximate Analytical Methods For Solving Fredholm Integral Equations
title_fullStr	Approximate Analytical Methods For Solving Fredholm Integral Equations
title_full_unstemmed	Approximate Analytical Methods For Solving Fredholm Integral Equations
title_sort	approximate analytical methods for solving fredholm integral equations
granting_institution	Universiti Sains Malaysia
granting_department	Pusat Pengajian Sains Matematik
publishDate	2015
url	http://eprints.usm.my/30359/1/Thesis.pdf
_version_	1747820319390826496

Approximate Analytical Methods For Solving Fredholm Integral Equations

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