Collocation Method for the Numerical Solution of Multi-Order Fractional Differential Equations

Authors

  • G. Ajileye Department of Mathematics and Statistics, Federal University Wukari, Taraba State, Nigeria
  • A. A. James Department of Mathematics and Statistics, American University of Nigeria, Yola, Adamawa State, Nigeria.

Keywords:

Differential equation, Fractional derivatives, Approximate solution, Power series

Abstract

This study presents a collocation approach for the numerical integration of multi-order fractional differential equations with initial conditions in the Caputo sense. The problem was transformed from its integral form into a system of linear algebraic equations. Using matrix inversion, the algebraic equations are solved and their solutions are substituted into the approximate equation to give the numerical results. The effectiveness and precision of the method were illustrated with the use of numerical examples.

Dimensions

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Published

2023-06-11

How to Cite

Collocation Method for the Numerical Solution of Multi-Order Fractional Differential Equations. (2023). Journal of the Nigerian Society of Physical Sciences, 5(3), 1075. https://doi.org/10.46481/jnsps.2023.1075

Issue

Volume 5, Issue 3, August 2023

Section

Original Research
Copyright & Licensing

Copyright (c) 2023 G. Ajileye, A. A. James

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Collocation Method for the Numerical Solution of Multi-Order Fractional Differential Equations. (2023). Journal of the Nigerian Society of Physical Sciences, 5(3), 1075. https://doi.org/10.46481/jnsps.2023.1075