Numerical solution to Volterra integro-differential equations using collocation approximation

Abstract

This paper considers the collocation method for the numerical solution of the Volterra integro- differential equation using polynomial basis functions. The modeled equation was converted into a linear algebraic system of equations and matrix inversion was employed to solve the algebraic equation. We substitute the result of algebraic into the approximate solution to obtain the numerical result. Some numerical problems are solved to show the method's efficiency and consistency.

Keywords

• collocation
• volterra
• integro-differential
• basis polynomial
• approximate solution