Using Touchard Polynomials Method for Solving Volterra-Fredholm Integro-Differential Equations

Abstract

The goal of this paper is to introduce numerical solution for Volterra-Fredholm integro-differential equations of the second kind. The proposed method is Touchard polynomials method, and this technique transforms the integro-differential equations to the system of algebraic equations. Four examples are presented in order to illustrate the accuracy and efficiency of this method

Keywords

• Touchard Polynomials Method
• Volterra-Fredholm Integro-Differential Equations
• Initial Conditions
• Numerical Solutions
• Mathematical Tools