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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| Format: | Thesis |
| Language: | English |
| Published: |
2015
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| Online Access: | http://eprints.usm.my/30359/ http://eprints.usm.my/30359/1/Thesis.pdf |
| _version_ | 1848876330580443136 |
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| author | Taleb Almousa, Mohammad Salameh |
| author_facet | Taleb Almousa, Mohammad Salameh |
| author_sort | Taleb Almousa, Mohammad Salameh |
| building | USM Institutional Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-15T16:57:50Z |
| format | Thesis |
| id | usm-30359 |
| institution | Universiti Sains Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T16:57:50Z |
| publishDate | 2015 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | usm-303592019-04-12T05:25:49Z 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. |
| spellingShingle | QA1 Mathematics (General) Taleb Almousa, Mohammad Salameh Approximate Analytical Methods For Solving Fredholm Integral Equations |
| title | 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_short | Approximate Analytical Methods For Solving Fredholm
Integral Equations |
| title_sort | approximate analytical methods for solving fredholm
integral equations |
| topic | QA1 Mathematics (General) |
| url | http://eprints.usm.my/30359/ http://eprints.usm.my/30359/1/Thesis.pdf |