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2021 | OriginalPaper | Chapter

First Order Piecewise Collocation Solution of Fredholm Integral Equation Second Type Using SOR Iteration

Authors : N. S. Mohamad, J. Sulaiman, A. Saudi, N. F. A. Zainal

Published in: Computational Science and Technology

Publisher: Springer Singapore

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Abstract

We evaluate the first-order approximation solution piecewise by first-order polynomial collocation with Quadrature scheme on second-type Fredholm integral equations. This discretization derived the formulation to solve the first order piecewise approximation equation in which the linear system was built. The SOR method was described as a linear solver in which its formulation was constructed and applied in this study. In order to obtain the approximation solutions, the combination of SOR iterative method with the first-order piecewise polynomial by collocation with quadrature scheme has shown that performance of SOR method is superior than Jacobi method in terms of number of iterations and time of completion.

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Metadata
Title
First Order Piecewise Collocation Solution of Fredholm Integral Equation Second Type Using SOR Iteration
Authors
N. S. Mohamad
J. Sulaiman
A. Saudi
N. F. A. Zainal
Copyright Year
2021
Publisher
Springer Singapore
DOI
https://doi.org/10.1007/978-981-33-4069-5_32

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