The Solution of Nonlinear Fourth-Order Differential Equation with Integral Boundary Conditions
An iterative algorithm is proposed for solving the solution of a nonlinear fourth-order differential equation with integral boundary conditions. Its approximate solution un(x) is represented in the reproducing kernel space. It is proved that un(x) converges uniformly to the exact solution u(x). More...
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Format: | Article |
Language: | English |
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Wiley
2014-01-01
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Series: | Journal of Function Spaces |
Online Access: | http://dx.doi.org/10.1155/2014/890695 |
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author | Yanli Fu Huanmin Yao |
author_facet | Yanli Fu Huanmin Yao |
author_sort | Yanli Fu |
collection | DOAJ |
description | An iterative algorithm is proposed for solving the solution of a nonlinear fourth-order differential equation with integral boundary conditions. Its approximate solution un(x) is represented in the reproducing kernel space. It is proved that un(x) converges uniformly to the exact solution u(x). Moreover, the derivatives of un(x) are also convergent to the derivatives of u(x). Numerical results show that the method employed in the paper is valid. |
format | Article |
id | doaj-art-b3add9c098294caf80992928c90caf87 |
institution | Kabale University |
issn | 2314-8896 2314-8888 |
language | English |
publishDate | 2014-01-01 |
publisher | Wiley |
record_format | Article |
series | Journal of Function Spaces |
spelling | doaj-art-b3add9c098294caf80992928c90caf872025-02-03T06:12:22ZengWileyJournal of Function Spaces2314-88962314-88882014-01-01201410.1155/2014/890695890695The Solution of Nonlinear Fourth-Order Differential Equation with Integral Boundary ConditionsYanli Fu0Huanmin Yao1School of Mathematics and Sciences, Harbin Normal University, Harbin, Heilongjiang 150025, ChinaSchool of Mathematics and Sciences, Harbin Normal University, Harbin, Heilongjiang 150025, ChinaAn iterative algorithm is proposed for solving the solution of a nonlinear fourth-order differential equation with integral boundary conditions. Its approximate solution un(x) is represented in the reproducing kernel space. It is proved that un(x) converges uniformly to the exact solution u(x). Moreover, the derivatives of un(x) are also convergent to the derivatives of u(x). Numerical results show that the method employed in the paper is valid.http://dx.doi.org/10.1155/2014/890695 |
spellingShingle | Yanli Fu Huanmin Yao The Solution of Nonlinear Fourth-Order Differential Equation with Integral Boundary Conditions Journal of Function Spaces |
title | The Solution of Nonlinear Fourth-Order Differential Equation with Integral Boundary Conditions |
title_full | The Solution of Nonlinear Fourth-Order Differential Equation with Integral Boundary Conditions |
title_fullStr | The Solution of Nonlinear Fourth-Order Differential Equation with Integral Boundary Conditions |
title_full_unstemmed | The Solution of Nonlinear Fourth-Order Differential Equation with Integral Boundary Conditions |
title_short | The Solution of Nonlinear Fourth-Order Differential Equation with Integral Boundary Conditions |
title_sort | solution of nonlinear fourth order differential equation with integral boundary conditions |
url | http://dx.doi.org/10.1155/2014/890695 |
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