A numerical solution of multi-term fractional ordinary differential equations by Generalized Taylor matrix method
Journal Title: Scholars Journal of Physics, Mathematics and Statistics - Year 2015, Vol 2, Issue 1
Abstract
In this article, we present an efficient algorithm for solving a multi-term fractional ordinary differential equations (semidifferential equations) using the Generalized Taylor matrix method. This method is based on first taking the truncated Generalized Taylor expansions of the solution function in the multi-term fractional ordinary differential equation and then substituting their matrix forms into the equation. The main characteristic behind the approach using this technique is that it reduces such problems to those of solving a system of algebraic equations thus greatly simplifying the problem. Numerical examples are used to illustrate the preciseness and effectiveness of the proposed method. Additionally, we successfully solve the modelling of physical phenomena such as Bagley-Torvik equation, relaxation-oscillation equation.
Authors and Affiliations
Ayşe Anapalı, Yalçın Öztürk, Mustafa GÜLSU
Keywords
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