A Numerical Method for the Solution of Linear Volterra Integral Equations

Abstract

The goal of this paper is to present a numerical method for solving the Volterra integral equations using the collocation approximation method with a power series polynomial. The modeled problem is converted into an algebraic equation system and solved using the standard collocation points. After establishing the approach's uniqueness and convergence, numerical examples were used to evaluate its effectiveness. The results show that the method outperforms others. Approximate solution, Integral equations, Polynomial power series, Volterra