Title of article :
Two-dimensional wavelets for numerical solution of integral equations
Author/Authors :
Derili, Hesam-aldien Islamic Azad University, Karaj Branch - Department of Mathematics, ايران , Sohrabi, Saeed urmia university - Faculty of Science - Department of Mathematics, اروميه, ايران , Arzhang, Asghar Islamic Azad University, Karaj Branch - Department of Mathematics, ايران
Abstract :
Purpose: In this paper, we shall investigate the numerical solution of two-dimensional Fredholm integral equations (2D-FIEs).Methods: In this work, we apply two-dimensional Haar wavelets, to solve linear two dimensional Fredholm integral equations (2D-FIEs). Using 2D Haar wavelets and their properties, 2D-FIEs of the second kind reduce to a system of algebraic equations.Results: The numerical examples illustrate the efficiency and accuracy of the method.Conclusions: In comparison with other bases (for example, polynomial bases), one of the advantages of this method is, although the involved matrices have a large dimension, they contain a large percentage of zero entries, which keeps computational effort within reasonable limits.
Keywords :
Two , dimensional Fredholm integral equations , Two , dimensional Haar wavelets , Linear systems
Journal title :
Mathematical Sciences
Journal title :
Mathematical Sciences
