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 AbstractIn 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 |

Issues > JZS - Volume 17 - No. 4 , 2015 >