Chebyshev Collocation Method for Solving Caputo Fractional Interface Problem

Authors

  • Sh. Mohamed Department of Mathematics and Engineering Physics, Faculty of Engineering, Mansoura University, P.O. 35516, Mansoura, Egypt; Department of Basic Science, Delta Higher Institute for Engineering and Technology, Mansoura 35681, Egypt https://orcid.org/0009-0005-8280-3388 (unauthenticated)
  • M. S. El-Azab Department of Mathematics and Engineering Physics, Faculty of Engineering, Mansoura University, P.O. 35516, Mansoura, Egypt
  • M. Sameeh Department of Mathematics and Engineering Physics, Faculty of Engineering, Mansoura University, P.O. 35516, Mansoura, Egypt https://orcid.org/0000-0003-0731-7695 (unauthenticated)

DOI:

https://doi.org/10.26713/jims.v17i2.3224

Abstract

 In this study a collocation strategy for the solution of the fractional interface problem is proposed. The spatial derivatives are computed using interpolation with Chebyshev functions. We elaborate the analysis that leads to an a priori error estimation. Different numerical examples are presented to show the applicability and effectiveness of the developed approach.

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Published

June 30, 2025

Issue

Vol. 17 No. 2 (2025)

Section

Research Article

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How to Cite

Chebyshev Collocation Method for Solving Caputo Fractional Interface Problem. (2025). Journal of Informatics and Mathematical Sciences, 17(2), 173-185. https://doi.org/10.26713/jims.v17i2.3224