Solution of Multi-Dimensional Fredholm Equations Using Legendre Scaling Functions

Abstract

In this article, we construct approximate solution to multi-dimensional Fredholm integral equations of second kind using n-dimensional Legendre scaling functions. Error analysis of the problem is provided in the L-2 sense. It is shown that our numerical method is numerically stable. Some examples are discussed based on proposed method to show the importance and accuracy of the proposed numerical method. (C) 2019 IMACS. Published by Elsevier B.V. All rights reserved.