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

Related Articles

Existence of positive solutions for boundary value problems for a class of nonlinear high-order differential equation

In this paper, we investigate a kind of boundary value problem of nonlinear high-order differential equation. Making use of the fixed point theorems on cone and by constructing the correction function, we obtain the exis...

Secondary Critical Path in a Fuzzy Project Network

In a fuzzy project network, the higher risk path is called possible critical path. Secondary critical path is one of the possible critical path in fuzzy project network and it plays an important role in the project sche...

One-Sided Generalized Likelihood Ratio Test for Normal Population Mean Value

Generalized likelihood ratio test (GLRT) is a very important method of hypothesis testing in mathematical statistics, which is widely applied. In this paper, GLRT is used to deduce the rejection region of hypothesis test...

Measurement of Beliefs, Attitudes, Emotions and Valuation in Training About the Teaching of Mathematics

This investigation focuses on beliefs, attitudes, emotions and valuation in training about mathematics of 200 students from Universidad PrivadaBoliviana (UPB) in Bolivia. An instrument was designed to measure these aspec...

Calculation of the Dates of New Moon and Full Moon of All Months of the Upcoming Five Years (2017-2021)

In this paper we have investigated some aspects of astronomical phenomenon of Moon. We have discussed about Moon’s phases and different phenomena of Moon’s phases. We have calculated the dates of new moon and full moon o...

Download PDF file
  • EP ID EP384388
  • DOI -
  • Views 86
  • Downloads 0

How To Cite

Ayşe Anapalı, Yalçın Öztürk, Mustafa GÜLSU (2015). A numerical solution of multi-term fractional ordinary differential equations by Generalized Taylor matrix method. Scholars Journal of Physics, Mathematics and Statistics, 2(1), 88-100. https://europub.co.uk/articles/-A-384388