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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
http://eprints.usm.my/30359/
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spelling my.usm.eprints.30359 http://eprints.usm.my/30359/ Approximate Analytical Methods For Solving Fredholm Integral Equations 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 NonPeerReviewed application/pdf en http://eprints.usm.my/30359/1/Thesis.pdf Taleb Almousa, Mohammad Salameh (2015) Approximate Analytical Methods For Solving Fredholm Integral Equations. PhD thesis, Universiti Sains Malaysia.
institution Universiti Sains Malaysia
building Hamzah Sendut Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Sains Malaysia
content_source USM Institutional Repository
url_provider http://eprints.usm.my/
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
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
publishDate 2015
url http://eprints.usm.my/30359/1/Thesis.pdf
http://eprints.usm.my/30359/
_version_ 1643707151112208384
score 13.211869

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