Numerical Solution for High-Order Linear Complex Differential Equations in a Circular Domain

Subject Numerical functional analysis and applications
Title Numerical Solution for High-Order Linear Complex Differential Equations in a Circular Domain
Author(s) Faruk Dusunceli,Ercan Celik
Keywords Linear complex differential equations, Legendre Polynomials, Collocation Method, Numerical solution
Abstract In this study, A collocation approach and Legendre Polynomials are used to get numerical solution of high-order linear complex differential equations in circular domain. The solutions in the form of power series are obtained. Method are applied on test problems. Results demonstrate in tables that they are quite applicable. . All of the numerical computations have been computed on computer using a code written in Matlab.