Reproducing Kernel Space Method for the Solution of Linear Fredholm Integro-Differential Equations and Analysis of Stability
We present a numerical method to solve the linear Fredholm integro-differential equation in reproducing kernel space. A simple algorithm is given to obtain the approximate solutions of the equation. Through the comparison of approximate and true solution, we can find that the method can effectively...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/971593 |
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| _version_ | 1832564232824029184 |
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| author | Xueqin Lv Yue Gao |
| author_facet | Xueqin Lv Yue Gao |
| author_sort | Xueqin Lv |
| collection | DOAJ |
| description | We present a numerical method to solve the linear Fredholm integro-differential equation in reproducing kernel space. A simple algorithm is given to obtain the approximate solutions of the equation. Through the comparison of approximate and true solution, we can find that the method can effectively solve the linear Fredholm integro-differential equation. At the same time the numerical solution of the equation is stable. |
| format | Article |
| id | doaj-art-f49f4b6369084c8d869bd6f4326e9849 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-f49f4b6369084c8d869bd6f4326e98492025-02-03T01:11:36ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/971593971593Reproducing Kernel Space Method for the Solution of Linear Fredholm Integro-Differential Equations and Analysis of StabilityXueqin Lv0Yue Gao1School of Mathematical Sciences, Harbin Normal University, Heilongjiang, Harbin 150025, ChinaSchool of Mathematical Sciences, Harbin Normal University, Heilongjiang, Harbin 150025, ChinaWe present a numerical method to solve the linear Fredholm integro-differential equation in reproducing kernel space. A simple algorithm is given to obtain the approximate solutions of the equation. Through the comparison of approximate and true solution, we can find that the method can effectively solve the linear Fredholm integro-differential equation. At the same time the numerical solution of the equation is stable.http://dx.doi.org/10.1155/2012/971593 |
| spellingShingle | Xueqin Lv Yue Gao Reproducing Kernel Space Method for the Solution of Linear Fredholm Integro-Differential Equations and Analysis of Stability Abstract and Applied Analysis |
| title | Reproducing Kernel Space Method for the Solution of Linear Fredholm
Integro-Differential Equations and Analysis of Stability |
| title_full | Reproducing Kernel Space Method for the Solution of Linear Fredholm
Integro-Differential Equations and Analysis of Stability |
| title_fullStr | Reproducing Kernel Space Method for the Solution of Linear Fredholm
Integro-Differential Equations and Analysis of Stability |
| title_full_unstemmed | Reproducing Kernel Space Method for the Solution of Linear Fredholm
Integro-Differential Equations and Analysis of Stability |
| title_short | Reproducing Kernel Space Method for the Solution of Linear Fredholm
Integro-Differential Equations and Analysis of Stability |
| title_sort | reproducing kernel space method for the solution of linear fredholm integro differential equations and analysis of stability |
| url | http://dx.doi.org/10.1155/2012/971593 |
| work_keys_str_mv | AT xueqinlv reproducingkernelspacemethodforthesolutionoflinearfredholmintegrodifferentialequationsandanalysisofstability AT yuegao reproducingkernelspacemethodforthesolutionoflinearfredholmintegrodifferentialequationsandanalysisofstability |