Numerical solution of second-order Fredholm integrodifferential equations with boundary conditions by quadrature-difference method
In this research, the quadrature-difference method with Gauss Elimination (GE) method is applied for solving the second-order of linear Fredholm integrodifferential equations (LFIDEs). In order to derive an approximation equation, the combinations of Composite Simpson’s 1/3 rule and second-order fin...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Hindawi Publishing Corporation
2017
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| Online Access: | http://psasir.upm.edu.my/id/eprint/51887/1/51887.pdf |
| _version_ | 1825930617079988224 |
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| author | Jalius, Chriscella Abdul Majid, Zanariah |
| author_facet | Jalius, Chriscella Abdul Majid, Zanariah |
| author_sort | Jalius, Chriscella |
| collection | UPM |
| description | In this research, the quadrature-difference method with Gauss Elimination (GE) method is applied for solving the second-order of linear Fredholm integrodifferential equations (LFIDEs). In order to derive an approximation equation, the combinations of Composite Simpson’s 1/3 rule and second-order finite-difference method are used to discretize the second-order of LFIDEs. This approximation equation will be used to generate a system of linear algebraic equations and will be solved by using Gauss Elimination. In addition, the formulation and the implementation of the quadrature-difference method are explained in detail. Finally, some numerical experiments were carried out to examine the accuracy of the proposed method. |
| first_indexed | 2024-03-06T09:14:16Z |
| format | Article |
| id | upm.eprints-51887 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T09:14:16Z |
| publishDate | 2017 |
| publisher | Hindawi Publishing Corporation |
| record_format | dspace |
| spelling | upm.eprints-518872017-05-03T04:09:12Z http://psasir.upm.edu.my/id/eprint/51887/ Numerical solution of second-order Fredholm integrodifferential equations with boundary conditions by quadrature-difference method Jalius, Chriscella Abdul Majid, Zanariah In this research, the quadrature-difference method with Gauss Elimination (GE) method is applied for solving the second-order of linear Fredholm integrodifferential equations (LFIDEs). In order to derive an approximation equation, the combinations of Composite Simpson’s 1/3 rule and second-order finite-difference method are used to discretize the second-order of LFIDEs. This approximation equation will be used to generate a system of linear algebraic equations and will be solved by using Gauss Elimination. In addition, the formulation and the implementation of the quadrature-difference method are explained in detail. Finally, some numerical experiments were carried out to examine the accuracy of the proposed method. Hindawi Publishing Corporation 2017 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/51887/1/51887.pdf Jalius, Chriscella and Abdul Majid, Zanariah (2017) Numerical solution of second-order Fredholm integrodifferential equations with boundary conditions by quadrature-difference method. Journal of Applied Mathematics, 2017. art. no. 2645097. pp. 1-5. ISSN 1110-757X; ESSN: 1687-0042 https://www.hindawi.com/journals/jam/2017/2645097/abs/ 10.1155/2017/2645097 |
| spellingShingle | Jalius, Chriscella Abdul Majid, Zanariah Numerical solution of second-order Fredholm integrodifferential equations with boundary conditions by quadrature-difference method |
| title | Numerical solution of second-order Fredholm integrodifferential equations with boundary conditions by quadrature-difference method |
| title_full | Numerical solution of second-order Fredholm integrodifferential equations with boundary conditions by quadrature-difference method |
| title_fullStr | Numerical solution of second-order Fredholm integrodifferential equations with boundary conditions by quadrature-difference method |
| title_full_unstemmed | Numerical solution of second-order Fredholm integrodifferential equations with boundary conditions by quadrature-difference method |
| title_short | Numerical solution of second-order Fredholm integrodifferential equations with boundary conditions by quadrature-difference method |
| title_sort | numerical solution of second order fredholm integrodifferential equations with boundary conditions by quadrature difference method |
| url | http://psasir.upm.edu.my/id/eprint/51887/1/51887.pdf |
| work_keys_str_mv | AT jaliuschriscella numericalsolutionofsecondorderfredholmintegrodifferentialequationswithboundaryconditionsbyquadraturedifferencemethod AT abdulmajidzanariah numericalsolutionofsecondorderfredholmintegrodifferentialequationswithboundaryconditionsbyquadraturedifferencemethod |