Solving second kind linear Fredholm integral equations via Quarter-Sweep SOR iterative method | Zendy

Mohana Sundaram Muthuvalu | Zendy; Jumat Sulaiman | Zendy

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Solving second kind linear Fredholm integral equations via Quarter-Sweep SOR iterative method

Author(s) -

Mohana Sundaram Muthuvalu,

Jumat Sulaiman

Publication year - 2014

Publication title -

malaysian journal of fundamental and applied sciences

Language(s) - English

Resource type - Journals

ISSN - 2289-599X

DOI - 10.11113/mjfas.v6n2.191

Subject(s) - fredholm integral equation , mathematics , nyström method , integral equation , discretization , fredholm theory , relaxation (psychology) , iterative method , quadrature (astronomy) , linear equation , linear system , numerical analysis , system of linear equations , mathematical analysis , mathematical optimization , psychology , social psychology , engineering , electrical engineering

In this paper, we consider the numerical solutions of linear Fredholm integral equations of the second kind. The Quarter-Sweep Successive Over-Relaxation (QSSOR) iterative method is applied to solve linear systems generated from discretization of the second kind linear Fredholm integral equations using quadrature method. In addition, the formulation and implementation of the proposed method to solve the problem are also presented. Numerical tests and comparisons with other existing methods are given to illustrate the effectiveness of the proposed method.

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