Abstract

In this paper, we investigate a piecewise approximate solution of Fredholm integral equation of the second kind by using the collocation discretization scheme. This discretization scheme will be used to construct a piecewise approximation equation, in which the approximation equation leads to a system of linear equation. In the effort to get the numerical solution, the Successive Over relaxation (SOR) iterative method has been considered as a linear solver. In addition to that, the formulation and the implementation of SOR method are included. Based on the numerical results, it can be concluded that the combination of SOR method with the collocation scheme is better than the Gauss-Seidel method.

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