Perturbed Galerkin Method for Solving Integro-Differential Equations
In this paper, perturbed Galerkin method is proposed to find numerical solution of an integro-differential equations using fourth kind shifted Chebyshev polynomials as basis functions which transform the integro-differential equation into a system of linear equations. The systems of linear equations...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/9748558 |
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| _version_ | 1832558400744980480 |
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| author | K. Issa J. Biazar T. O. Agboola T. Aliu |
| author_facet | K. Issa J. Biazar T. O. Agboola T. Aliu |
| author_sort | K. Issa |
| collection | DOAJ |
| description | In this paper, perturbed Galerkin method is proposed to find numerical solution of an integro-differential equations using fourth kind shifted Chebyshev polynomials as basis functions which transform the integro-differential equation into a system of linear equations. The systems of linear equations are then solved to obtain the approximate solution. Examples to justify the effectiveness and accuracy of the method are presented and their numerical results are compared with Galerkin’s method, Taylor’s series method, and Tau’s method which provide validation for the proposed approach. The errors obtained justify the effectiveness and accuracy of the method. |
| format | Article |
| id | doaj-art-96985940f2244e72bb78420255095c82 |
| institution | Kabale University |
| issn | 1687-0042 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-96985940f2244e72bb78420255095c822025-02-03T01:32:34ZengWileyJournal of Applied Mathematics1687-00422022-01-01202210.1155/2022/9748558Perturbed Galerkin Method for Solving Integro-Differential EquationsK. Issa0J. Biazar1T. O. Agboola2T. Aliu3Department of Mathematics and StatisticsDepartment of Applied MathematicsDepartment of Mathematics and StatisticsDepartment of Mathematics and StatisticsIn this paper, perturbed Galerkin method is proposed to find numerical solution of an integro-differential equations using fourth kind shifted Chebyshev polynomials as basis functions which transform the integro-differential equation into a system of linear equations. The systems of linear equations are then solved to obtain the approximate solution. Examples to justify the effectiveness and accuracy of the method are presented and their numerical results are compared with Galerkin’s method, Taylor’s series method, and Tau’s method which provide validation for the proposed approach. The errors obtained justify the effectiveness and accuracy of the method.http://dx.doi.org/10.1155/2022/9748558 |
| spellingShingle | K. Issa J. Biazar T. O. Agboola T. Aliu Perturbed Galerkin Method for Solving Integro-Differential Equations Journal of Applied Mathematics |
| title | Perturbed Galerkin Method for Solving Integro-Differential Equations |
| title_full | Perturbed Galerkin Method for Solving Integro-Differential Equations |
| title_fullStr | Perturbed Galerkin Method for Solving Integro-Differential Equations |
| title_full_unstemmed | Perturbed Galerkin Method for Solving Integro-Differential Equations |
| title_short | Perturbed Galerkin Method for Solving Integro-Differential Equations |
| title_sort | perturbed galerkin method for solving integro differential equations |
| url | http://dx.doi.org/10.1155/2022/9748558 |
| work_keys_str_mv | AT kissa perturbedgalerkinmethodforsolvingintegrodifferentialequations AT jbiazar perturbedgalerkinmethodforsolvingintegrodifferentialequations AT toagboola perturbedgalerkinmethodforsolvingintegrodifferentialequations AT taliu perturbedgalerkinmethodforsolvingintegrodifferentialequations |