Solving Two-dimensional Linear Volterra-Fredholm Integral Equations of the Second Kind by Using Series Solution Methods

Solving Two-dimensional Linear Volterra-Fredholm Integral Equations of the Second Kind by Using Series Solution Methods


Rostam K. Saeed & Karzan A. Berdawood 

Salahaddin University/Erbil –College of Science-Department of Mathematics, Hawler,Kurdistan Region,Iraq 
E-mail: rostam.saeed@su.edu.krd & karzan.ahmad@yahoo.com





Article info
Original: 19 May 2015
Revised: 25 June  2015
Accepted: 25 June 2015
Published online: 
20 Dec. 2015 

Key Words: 
Volterra-Fredhom integral equations,  Power Series, Orthogonal Functions


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. Furthermore, we proved some theoretical results on the convergence analysis of the presented methods

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Kewan Omer,
Dec 22, 2015, 3:32 PM