A meshless approximate solution of mixed Volterra–Fredholm integral equations

Abstract

This paper presents a meshless method using a radial basis function collocation scheme for numerical solution of mixed Volterra–Fredholm integral equations, where the region of integration is a non-rectangular domain. We will show that this method requires only a scattered data of nodes in the domain. It is shown that the proposed scheme is simple and computationally attractive. Applications of the method are also demonstrated through illustrative examples.

Keywords:

• mixed Volterra–Fredholm integral equation
• collocation method
• radial basis functions
• meshless method
• numerical treatment

2010 Mathematics Subject Classifications::

• 45A99
• 45A05