Chebyshev Collocation Method for Parabolic Partial Integrodifferential Equations
An efficient technique for solving parabolic partial integrodifferential equation is presented. This technique is based on Chebyshev polynomials and finite difference method. A priori error estimate for the proposed technique is deduced. Some examples are presented to illustrate the validity and eff...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2016/7854806 |
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| _version_ | 1832553959103922176 |
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| author | M. Sameeh A. Elsaid |
| author_facet | M. Sameeh A. Elsaid |
| author_sort | M. Sameeh |
| collection | DOAJ |
| description | An efficient technique for solving parabolic partial integrodifferential equation is presented. This technique is based on Chebyshev polynomials and finite difference method. A priori error estimate for the proposed technique is deduced. Some examples are presented to illustrate the validity and efficiency of the presented method. |
| format | Article |
| id | doaj-art-95db716a7aa0408383c3785a06391f10 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-95db716a7aa0408383c3785a06391f102025-02-03T05:52:46ZengWileyAdvances in Mathematical Physics1687-91201687-91392016-01-01201610.1155/2016/78548067854806Chebyshev Collocation Method for Parabolic Partial Integrodifferential EquationsM. Sameeh0A. Elsaid1Mathematics and Engineering Physics Department, Faculty of Engineering, Mansoura University, Mansoura 35516, EgyptMathematics and Engineering Physics Department, Faculty of Engineering, Mansoura University, Mansoura 35516, EgyptAn efficient technique for solving parabolic partial integrodifferential equation is presented. This technique is based on Chebyshev polynomials and finite difference method. A priori error estimate for the proposed technique is deduced. Some examples are presented to illustrate the validity and efficiency of the presented method.http://dx.doi.org/10.1155/2016/7854806 |
| spellingShingle | M. Sameeh A. Elsaid Chebyshev Collocation Method for Parabolic Partial Integrodifferential Equations Advances in Mathematical Physics |
| title | Chebyshev Collocation Method for Parabolic Partial Integrodifferential Equations |
| title_full | Chebyshev Collocation Method for Parabolic Partial Integrodifferential Equations |
| title_fullStr | Chebyshev Collocation Method for Parabolic Partial Integrodifferential Equations |
| title_full_unstemmed | Chebyshev Collocation Method for Parabolic Partial Integrodifferential Equations |
| title_short | Chebyshev Collocation Method for Parabolic Partial Integrodifferential Equations |
| title_sort | chebyshev collocation method for parabolic partial integrodifferential equations |
| url | http://dx.doi.org/10.1155/2016/7854806 |
| work_keys_str_mv | AT msameeh chebyshevcollocationmethodforparabolicpartialintegrodifferentialequations AT aelsaid chebyshevcollocationmethodforparabolicpartialintegrodifferentialequations |