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2014 Iterative Reproducing Kernel Method for Solving Second-Order Integrodifferential Equations of Fredholm Type
Iryna Komashynska, Mohammed AL-Smadi
J. Appl. Math. 2014: 1-11 (2014). DOI: 10.1155/2014/459509

Abstract

We present an efficient iterative method for solving a class of nonlinear second-order Fredholm integrodifferential equations associated with different boundary conditions. A simple algorithm is given to obtain the approximate solutions for this type of equations based on the reproducing kernel space method. The solution obtained by the method takes form of a convergent series with easily computable components. Furthermore, the error of the approximate solution is monotone decreasing with the increasing of nodal points. The reliability and efficiency of the proposed algorithm are demonstrated by some numerical experiments.

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Iryna Komashynska. Mohammed AL-Smadi. "Iterative Reproducing Kernel Method for Solving Second-Order Integrodifferential Equations of Fredholm Type." J. Appl. Math. 2014 1 - 11, 2014. https://doi.org/10.1155/2014/459509

Information

Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 07131609
MathSciNet: MR3206881
Digital Object Identifier: 10.1155/2014/459509

Rights: Copyright © 2014 Hindawi

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