On Morgan-Voyce Polynomials Approximation For Linear Differential Equations

Authors : Özgül İLHAN, Niyazi ŞAHİN

Pages : 1-10

View : 18 | Download : 1

Publication Date : 2016-05-26

Article Type : Research Paper

Abstract :In this paper, a matrix method for approximately solving certain linear differential equations is presented. This method is called Morgan-Voyce matrix method and converts a linear differential equation into a matrix equation. Then, the equation reduces to a matrix equation corresponding to a system of linear algebraic equations with unknown Morgan-Voyce coefficients. The examples are included to demonstrate the applicability of the technique.
Keywords : Morgan Voyce polynomials, linear differential equations, collocation method