Spectral Method for Solving The General Form Linear Fredholm-Volterra Integro Differential Equations Based on Chebyshev Polynomials

Abstract

The main aim of this paper reports a pseudo spectral method based on integrated Chebyshev polynomials for numerically solving higher order linear Fredholm Volterra integro differential equations (FVIDE) in the most general form. This method transforms FVIDE to matrix equations which correspond to a system of linear algebraic equations with unknown Chebyshev coefficients. The present numerical results are in satisfactory agreement with the exact solutions and show the advantages of this method to some other known methods.