On solution of Fredholm integrodifferential equations using composite Chebyshev finite difference method
A new numerical method is introduced for solving linear Fredholm integrodifferential equations which is based on a hybrid of block-pulse functions and Chebyshev polynomials using the well-known Chebyshev-Gauss-Lobatto collocation points. Composite Chebyshev finite difference method is indeed an exte...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Hindawi Publishing Corporation
2013
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| Online Access: | http://psasir.upm.edu.my/id/eprint/30128/1/30128.pdf |
| _version_ | 1796971678830428160 |
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| author | Atabakan, Zohreh Pashazadeh Nasab, Aliasghar Kazemi Kilicman, Adem |
| author_facet | Atabakan, Zohreh Pashazadeh Nasab, Aliasghar Kazemi Kilicman, Adem |
| author_sort | Atabakan, Zohreh Pashazadeh |
| collection | UPM |
| description | A new numerical method is introduced for solving linear Fredholm integrodifferential equations which is based on a hybrid of block-pulse functions and Chebyshev polynomials using the well-known Chebyshev-Gauss-Lobatto collocation points. Composite Chebyshev finite difference method is indeed an extension of the Chebyshev finite difference method and can be considered as a nonuniform finite difference scheme. The main advantage of the proposed method is reducing the given problem to a set of algebraic equations. Some examples are given to approve the efficiency and the accuracy of the proposed method. |
| first_indexed | 2024-03-06T08:16:34Z |
| format | Article |
| id | upm.eprints-30128 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T08:16:34Z |
| publishDate | 2013 |
| publisher | Hindawi Publishing Corporation |
| record_format | dspace |
| spelling | upm.eprints-301282017-10-19T05:47:43Z http://psasir.upm.edu.my/id/eprint/30128/ On solution of Fredholm integrodifferential equations using composite Chebyshev finite difference method Atabakan, Zohreh Pashazadeh Nasab, Aliasghar Kazemi Kilicman, Adem A new numerical method is introduced for solving linear Fredholm integrodifferential equations which is based on a hybrid of block-pulse functions and Chebyshev polynomials using the well-known Chebyshev-Gauss-Lobatto collocation points. Composite Chebyshev finite difference method is indeed an extension of the Chebyshev finite difference method and can be considered as a nonuniform finite difference scheme. The main advantage of the proposed method is reducing the given problem to a set of algebraic equations. Some examples are given to approve the efficiency and the accuracy of the proposed method. Hindawi Publishing Corporation 2013 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/30128/1/30128.pdf Atabakan, Zohreh Pashazadeh and Nasab, Aliasghar Kazemi and Kilicman, Adem (2013) On solution of Fredholm integrodifferential equations using composite Chebyshev finite difference method. Abstract and Applied Analysis, 2013. art. no. 694043. pp. 1-11. ISSN 1085-3375; ESSN: 1687-0409 https://www.hindawi.com/journals/aaa/2013/694043/abs/ 10.1155/2013/694043 |
| spellingShingle | Atabakan, Zohreh Pashazadeh Nasab, Aliasghar Kazemi Kilicman, Adem On solution of Fredholm integrodifferential equations using composite Chebyshev finite difference method |
| title | On solution of Fredholm integrodifferential equations using composite Chebyshev finite difference method |
| title_full | On solution of Fredholm integrodifferential equations using composite Chebyshev finite difference method |
| title_fullStr | On solution of Fredholm integrodifferential equations using composite Chebyshev finite difference method |
| title_full_unstemmed | On solution of Fredholm integrodifferential equations using composite Chebyshev finite difference method |
| title_short | On solution of Fredholm integrodifferential equations using composite Chebyshev finite difference method |
| title_sort | on solution of fredholm integrodifferential equations using composite chebyshev finite difference method |
| url | http://psasir.upm.edu.my/id/eprint/30128/1/30128.pdf |
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