Solution of nonlinear Volterra-Hammerstein integral equations using alternative Legendre collocation method
Alternative Legendre polynomials (ALPs) are used to approximate the solution of a class of nonlinear Volterra-Hammerstein integral equations. For this purpose, the operational matrices of integration and the product for ALPs are derived. Then, using the collocation method, the considered problem is...
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| Format: | Article |
| Language: | English |
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University of Maragheh
2016-11-01
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| Series: | Sahand Communications in Mathematical Analysis |
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| Online Access: | http://scma.maragheh.ac.ir/article_22018_9e7878429e482a2594ae157e2e39fd77.pdf |
| _version_ | 1818193458834178048 |
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| author | Sohrab Bazm |
| author_facet | Sohrab Bazm |
| author_sort | Sohrab Bazm |
| collection | DOAJ |
| description | Alternative Legendre polynomials (ALPs) are used to approximate the solution of a class of nonlinear Volterra-Hammerstein integral equations. For this purpose, the operational matrices of integration and the product for ALPs are derived. Then, using the collocation method, the considered problem is reduced into a set of nonlinear algebraic equations. The error analysis of the method is given and the efficiency and accuracy are illustrated by applying the method to some examples. |
| first_indexed | 2024-12-12T00:46:43Z |
| format | Article |
| id | doaj.art-0de13407e2c94813af060c826548fefc |
| institution | Directory Open Access Journal |
| issn | 2322-5807 2423-3900 |
| language | English |
| last_indexed | 2024-12-12T00:46:43Z |
| publishDate | 2016-11-01 |
| publisher | University of Maragheh |
| record_format | Article |
| series | Sahand Communications in Mathematical Analysis |
| spelling | doaj.art-0de13407e2c94813af060c826548fefc2022-12-22T00:44:07ZengUniversity of MaraghehSahand Communications in Mathematical Analysis2322-58072423-39002016-11-0141577722018Solution of nonlinear Volterra-Hammerstein integral equations using alternative Legendre collocation methodSohrab Bazm0Department of Mathematics, Faculty of Science, University of Maragheh,, P.O.Box 55181-83111 Maragheh, Iran.Alternative Legendre polynomials (ALPs) are used to approximate the solution of a class of nonlinear Volterra-Hammerstein integral equations. For this purpose, the operational matrices of integration and the product for ALPs are derived. Then, using the collocation method, the considered problem is reduced into a set of nonlinear algebraic equations. The error analysis of the method is given and the efficiency and accuracy are illustrated by applying the method to some examples.http://scma.maragheh.ac.ir/article_22018_9e7878429e482a2594ae157e2e39fd77.pdfNonlinear Volterra-Hammerstein integral equationsAlternative Legendre polynomialsOperational matrixCollocation method |
| spellingShingle | Sohrab Bazm Solution of nonlinear Volterra-Hammerstein integral equations using alternative Legendre collocation method Sahand Communications in Mathematical Analysis Nonlinear Volterra-Hammerstein integral equations Alternative Legendre polynomials Operational matrix Collocation method |
| title | Solution of nonlinear Volterra-Hammerstein integral equations using alternative Legendre collocation method |
| title_full | Solution of nonlinear Volterra-Hammerstein integral equations using alternative Legendre collocation method |
| title_fullStr | Solution of nonlinear Volterra-Hammerstein integral equations using alternative Legendre collocation method |
| title_full_unstemmed | Solution of nonlinear Volterra-Hammerstein integral equations using alternative Legendre collocation method |
| title_short | Solution of nonlinear Volterra-Hammerstein integral equations using alternative Legendre collocation method |
| title_sort | solution of nonlinear volterra hammerstein integral equations using alternative legendre collocation method |
| topic | Nonlinear Volterra-Hammerstein integral equations Alternative Legendre polynomials Operational matrix Collocation method |
| url | http://scma.maragheh.ac.ir/article_22018_9e7878429e482a2594ae157e2e39fd77.pdf |
| work_keys_str_mv | AT sohrabbazm solutionofnonlinearvolterrahammersteinintegralequationsusingalternativelegendrecollocationmethod |