On Morgan-Voyce Polynomials Approximation For Linear Differential Equations

Year 2014, Volume 2, 2014, 1 - 10, 26.05.2016

Özgül İlhan Niyazi Şahin

https://izlik.org/JA47LW56SS

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

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