The Solution of a Class of Third-Order Boundary Value Problems by the Reproducing Kernel Method
This paper expands the application of reproducing kernel method to a class of third-order boundary value problems with mixed nonlinear boundary conditions. The analytical solution is represented in the form of series in the reproducing kernel space. The n-term approximation is obtained and is proved...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/195310 |
| Summary: | This paper expands the application of reproducing kernel method to a class of third-order
boundary value problems with mixed nonlinear boundary conditions. The analytical solution is represented in the form of series in the reproducing kernel space. The n-term approximation is obtained and
is proved to converge to the analytical solution. The numerical examples are given to demonstrate the
computation efficiency of the presented method. Results obtained by the method indicate that the method is
simple and effective. |
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| ISSN: | 1085-3375 1687-0409 |