An efficient method for solving system of Volterra integral equations
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.
volterra integral equation integral equations collocation method algebraic system mathematics polynomials system of first and second kind discretization chebyshev polynomials