An Effective Tool: Numerical Solutions by LegendrePolynomials for High-order Linear ComplexDifferential Equations

摘要

In this paper, Legendre polynomials was used to get numerical solution of high-order linear complex differential equations in a circular domain. The solutions in the form of power series were obtained. The method was applied on three test problems. Obtained results demonstrated in tables are good agreement with the exact solutions. All of the numerical computations have been performed with a code written in Matlab software.