The piecewise polynomial collocation method for the solution of Fredholm equation of second kind by SOR iteration

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 syst...

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Bibliographic Details
Main Authors: Mohamad, N. S., Sulaiman, J.
Format: Conference Proceeding
Language:English
Subjects:
Approximation
Collocation methods
Discretization
Fredholm equations
Gauss-Seidel method
Integral equations
Iterative methods
Linear equations
Mathematical analysis
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Summary: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.
ISSN:0094-243X
1551-7616
DOI:10.1063/1.5054236