An Approximation Method for Solving Volterra Integrodifferential Equations with a Weighted Integral Condition
We apply the reproducing kernel Hilbert space (RKHS) method for getting analytical and approximate solutions for second-order hyperbolic integrodifferential equations with a weighted integral condition. The analytical solution is represented in the form of series; thus, the n-terms approximate solut...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2015-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2015/758410 |
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| _version_ | 1832559956136558592 |
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| author | A. Guezane-Lakoud N. Bendjazia R. Khaldi |
| author_facet | A. Guezane-Lakoud N. Bendjazia R. Khaldi |
| author_sort | A. Guezane-Lakoud |
| collection | DOAJ |
| description | We apply the reproducing kernel Hilbert space (RKHS) method
for getting analytical and approximate solutions for second-order hyperbolic
integrodifferential equations with a weighted integral condition. The
analytical solution is represented in the form of series; thus, the n-terms
approximate solutions are obtained. The results of the numerical examples
are compared with the exact solutions to illustrate the accuracy and the
effectivity of this method. |
| format | Article |
| id | doaj-art-29a0f160a8324ce6a4def54b82ea3d08 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-29a0f160a8324ce6a4def54b82ea3d082025-02-03T01:28:47ZengWileyJournal of Function Spaces2314-88962314-88882015-01-01201510.1155/2015/758410758410An Approximation Method for Solving Volterra Integrodifferential Equations with a Weighted Integral ConditionA. Guezane-Lakoud0N. Bendjazia1R. Khaldi2Laboratory of Advanced Materials, Department of Mathematics, Faculty of Sciences, Badji Mokhtar-Annaba University, P.O. Box 12, 23000 Annaba, AlgeriaLaboratory of Advanced Materials, Department of Mathematics, Faculty of Sciences, Badji Mokhtar-Annaba University, P.O. Box 12, 23000 Annaba, AlgeriaLaboratory of Advanced Materials, Department of Mathematics, Faculty of Sciences, Badji Mokhtar-Annaba University, P.O. Box 12, 23000 Annaba, AlgeriaWe apply the reproducing kernel Hilbert space (RKHS) method for getting analytical and approximate solutions for second-order hyperbolic integrodifferential equations with a weighted integral condition. The analytical solution is represented in the form of series; thus, the n-terms approximate solutions are obtained. The results of the numerical examples are compared with the exact solutions to illustrate the accuracy and the effectivity of this method.http://dx.doi.org/10.1155/2015/758410 |
| spellingShingle | A. Guezane-Lakoud N. Bendjazia R. Khaldi An Approximation Method for Solving Volterra Integrodifferential Equations with a Weighted Integral Condition Journal of Function Spaces |
| title | An Approximation Method for Solving Volterra Integrodifferential Equations with a Weighted Integral Condition |
| title_full | An Approximation Method for Solving Volterra Integrodifferential Equations with a Weighted Integral Condition |
| title_fullStr | An Approximation Method for Solving Volterra Integrodifferential Equations with a Weighted Integral Condition |
| title_full_unstemmed | An Approximation Method for Solving Volterra Integrodifferential Equations with a Weighted Integral Condition |
| title_short | An Approximation Method for Solving Volterra Integrodifferential Equations with a Weighted Integral Condition |
| title_sort | approximation method for solving volterra integrodifferential equations with a weighted integral condition |
| url | http://dx.doi.org/10.1155/2015/758410 |
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