Numerical solution of the Volterra-Fredholm integral equation by the framelet method

Abstract

In this paper, a numerical method is proposed to solve the Volterra-Fredholm Integral Equation. The method is based on the use of framelets to reduce the integral equation to a system of algebraic equations, a numerical solution is given by using collocation method.

Finally, numerical examples are presented to test the efficiency of the proposed method. Comparative results show that our method is more accurate than existing ones.