NUMERICAL SOLUTION OF INTEGRAL EQUATION USING GALERKIN METHOD WITH HERMITE, CHEBYSHEV & ORTHOGONAL POLYNOMIALS.

In this paper we introduce new approaches for numerical solution of Volterra integral equation of second kind. This numerical solution based on Galerkin method by using Hermite, Chebyshev & orthogonal polynomials. All calculation performed by MATLAB 13 versions. Many examples are given for comparative study of numerical solution of integral equations with estimated error. This comparative study of numerical solution of linear and nonlinear integral equation is more effective & better accuracy other than existing method. [ABSTRACT FROM AUTHOR]