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Comparison between Adomian’s Decomposition Method and Toeplitz Matrix Method for Solving Linear Mixed Integral Equation with Hilbert Kernel
Department of Mathematics, Faculty of Science, King Abdul Aziz University, Jeddah, Saudi Arabia
Department of Mathematics, Faculty of Science, King Khaled University, Abha, Saudi Arabia
- 1 Department of Mathematics, Faculty of Science, King Abdul Aziz University, Jeddah, Saudi Arabia
- 2 Department of Mathematics, Faculty of Science, King Khaled University, Abha, Saudi Arabia
American Journal of Computational Mathematics·Volume 06 (2016)·Pages 177–183·Published 27 April 2016·DOI10.4236/ajcm.2016.62019
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Abstract
This paper proposes the combined Laplace-Adomian decomposition method (LADM) for solution two dimensional linear mixed integral equations of type Volterra-Fredholm with Hilbert kernel. Comparison of the obtained results with those obtained by the Toeplitz matrix method (TMM) demonstrates that the proposed technique is powerful and simple.
KeywordsSingular Integral EquationLinear Volterra-Fredholm Integral EquationAdomian Decomposition MethodHilbert Kernel
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