## Journal of Applied Mathematics

### Iterative Reproducing Kernel Method for Solving Second-Order Integrodifferential Equations of Fredholm Type

#### 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.

#### Article information

Source
J. Appl. Math., Volume 2014 (2014), Article ID 459509, 11 pages.

Dates
First available in Project Euclid: 2 March 2015

https://projecteuclid.org/euclid.jam/1425305711

Digital Object Identifier
doi:10.1155/2014/459509

Mathematical Reviews number (MathSciNet)
MR3206881

#### Citation

Komashynska, Iryna; AL-Smadi, Mohammed. Iterative Reproducing Kernel Method for Solving Second-Order Integrodifferential Equations of Fredholm Type. J. Appl. Math. 2014 (2014), Article ID 459509, 11 pages. doi:10.1155/2014/459509. https://projecteuclid.org/euclid.jam/1425305711

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