一类半光滑核Fredholm积分方程迭代解法的比较研究

2015 International Symposium on Mathematical Sciences and Computing Research (iSMSC) Pub Date : 2015-05-19 DOI:10.1109/ISMSC.2015.7594101

M. Muthuvalu, E. Aruchunan, M. Ali, J. Sulaiman

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引用次数: 0

摘要

本文的主要目的是研究高斯-塞德尔(GS)和2点显式群(2-EG)两种迭代方法在求解与第一类线性Fredholm积分方程数值解相关的密集线性系统中的性能。介绍了这两种方法的制定和实现。此外，还给出了一些数值结果来验证测试方法的有效性。

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A comparative study of iterative methods for solving first kind Fredholm integral equations with the semi-smooth kernel

The main aim of this paper is to investigate the performance of two iterative methods i.e. Gauss-Seidel (GS) and 2-Point Explicit Group (2-EG) in solving dense linear system associated with the numerical solution of first kind linear Fredholm integral equations. The formulation and implementation of the both methods are presented. In addition, some numerical results are also included to verify the effectiveness of the tested methods.

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2015 International Symposium on Mathematical Sciences and Computing Research (iSMSC)

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