A Computational Method for Two-Point Boundary Value Problems of Fourth-Order Mixed Integrodifferential Equations

Mohammed Al-Smadi, Omar Abu Arqub and Shaher Momani

Mathematical Problems in Engineering, 2013, vol. 2013, 1-10

Abstract:

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.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:832074

DOI: 10.1155/2013/832074

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