A Computational Method for Two-Point Boundary Value Problems of Fourth-Order Mixed Integrodifferential Equations
In this paper, reproducing kernel Hilbert space method is applied to approximate the solution of two-point boundary value problems for fourth-order Fredholm-Volterra integrodifferential equations. The analytical solution was calculated in the form of convergent series in the space with easily compu...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2013-01-01
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| Series: | Mathematical Problems in Engineering |
| Online Access: | http://dx.doi.org/10.1155/2013/832074 |
| Summary: | In this paper, reproducing kernel Hilbert space method is applied to approximate the solution of two-point boundary value problems for fourth-order Fredholm-Volterra integrodifferential equations. The analytical solution was calculated in the form of convergent series in the space with easily computable components. In the proposed method, the -term approximation is obtained and is proved to
converge to the analytical solution. Meanwhile, the error of the approximate
solution is monotone decreasing in the sense of the norm of . The proposed technique is applied to several examples to illustrate the
accuracy, efficiency, and applicability of the method. |
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| ISSN: | 1024-123X 1563-5147 |