An efficient method for solving system of Volterra integral equations

Abstract

Purpose

The purpose of this paper is to discuss a numerical method for solving system of Volterra integral equations.

Design/methodology/approach

An expansion method known as Chebyshev collocation method is chosen to convert the system of integral equations to the linear algebraic system of equations, so by solving the linear algebraic system an approximate solution is concluded.

Findings

Some numerical results support the accuracy and efficiency of the stated method.

Originality/value

The paper presents a method for solving first and second kind system of integral equations.

Citation

Nouri, K. (2012), "An efficient method for solving system of Volterra integral equations", Kybernetes, Vol. 41 No. 3/4, pp. 501-507. https://doi.org/10.1108/03684921211229550