10.57647/

On a modication of the Chebyshev collocation method for solving fractional diffiusion equation

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  • Hosein jalebbonab1,
  • Hojatollah Adibi1,
  1. Department of Mathematics, Central Tehran Branch, Islamic Azad University, Tehran, Iran.

Received: 03-01-2017

Revised: 01-04-2017

Accepted: 04-11-2017

Published in Issue 27-07-2025

Copyright (c) 2025 Hosein jalebbonab, Hojatollah Adibi (Author)

Creative Commons License

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

How to Cite

jalebbonab, H., & Adibi, H. (2025). On a modi cation of the Chebyshev collocation method for solving fractional diffiusion equation. International Journal of Mathematical Modelling & Computations, 7(2). https://doi.org/10.57647/
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Abstract

In this article a modification of the Chebyshev collocation method is applied to the solution of space fractional differential equations.The fractional derivative is considered in the Caputo sense.The finite difference scheme and Chebyshev collocation method are used .The numerical results obtained by this way have been compared with other methods.The results show the reliability and efficiency of the proposed method.

Keywords

  • Collocation,
  • Finite difference,
  • Fractional diffusion equation,
  • Caputo derivative,
  • Fractional Riccati differential equation,
  • Chebyshev polynomials
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