2015
DOI: 10.17656/jzs.10442
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Solving Two-dimensional Linear Volterra-Fredholm Integral Equations of the Second Kind by Using Series Solution Methods

Abstract: In this paper, we focus on obtaining an approximate solution of the two types of two- dimensional linear Volterra-Fredhom integral equations of the second kind. Series   solution method is reformulated and applied with different bases functions for finding an approximate solution (sometimes the exact solution) for the above two types of integral equations. This is done by computer program with the aid of the Maple code program version 13 for all the above prescribed methods.… Show more

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“…Muna, 2008;I. podldubny, 1999;Shazad, 2002;Shazad, 2009;Shokhan, 2011;Talhat, 2016;Rostam, 2016), here we discuss the transformation Laplace operator techniques that how can be used for solving the LVIFDE's of RD that is expresses in equation 1. Before describing the Laplace transform technique, it is necessary to define and explain some important properties of Laplace method, and the way to drive Laplace transform for Delay functions and the Laplace transform of Caputo fractional derivative.…”
Section: Introductionmentioning
confidence: 99%
“…Muna, 2008;I. podldubny, 1999;Shazad, 2002;Shazad, 2009;Shokhan, 2011;Talhat, 2016;Rostam, 2016), here we discuss the transformation Laplace operator techniques that how can be used for solving the LVIFDE's of RD that is expresses in equation 1. Before describing the Laplace transform technique, it is necessary to define and explain some important properties of Laplace method, and the way to drive Laplace transform for Delay functions and the Laplace transform of Caputo fractional derivative.…”
Section: Introductionmentioning
confidence: 99%