An Effective Tool: Numerical Solutions by Legendre Polynomials for High-order Linear Complex Differential Equations
Faruk Düşünceli *
Department of Mathematics, Faculty of Science, Atatürk University, Erzurum, Turkey
Ercan Çelik
Department of Mathematics, Faculty of Science, Atatürk University, Erzurum, Turkey
*Author to whom correspondence should be addressed.
Abstract
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.
Keywords: Linear complex differential equations, legendre polynomials, collocation method, numerical solution