Chebyshev Wavelets Method for Solving Volterra Integral Equations

Abstract

This work focuses on the study and numerical solution of second-kind Volterra integral equations. The proposed approach is based on approximating the unknown function using Chebyshev wavelets, combined with the collocation method to transform the complex integral equation into a system of linear algebraic equations that can be easily solved. Several numerical examples are presented to demonstrate the accuracy and efficiency of this technique compared with exact solutions.