A Spectral Collocation Approach for Time-Fractional Korteweg-de Vries-Burgers Equation via First-Kind Chebyshev Polynomials

Authors

  • Y. H. Youssri Department of Mathematics, Faculty of Science, Cairo University, Giza, 12613, Egypt
  • Laila A. Alnaser Department of Mathematics, College of Science, Taibah University, Al Madina Al Munawara, 41411, Kingdom of Saudi Arabia
  • A. G. Atta Department of Mathematics, Faculty of Education, Ain Shams University, Roxy, 11341, Cairo, Egypt https://orcid.org/0000-0003-1467-640X (unauthenticated)

DOI:

https://doi.org/10.37256/cm.6220255948

Keywords:

first kind chebyshev polynomials, collocation method, time-fractional KdV-Burgers' equation

Abstract

The time-fractional Korteweg-de Vries-Burgers (TFKdVB) problem is solved numerically in this study. The approach makes use of the shifted first-kind Chebyshev polynomials (SFKCPs) collocation method. By utilizing Caputo's formulation to approximate the time-fractional derivatives and impose boundary conditions, we arrive at a spectral solution. Numerical examples are presented to illustrate the precision and effectiveness of the suggested approach.

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Published

2025-02-28

Issue

Contemporary Mathematics, Volume 6 Issue 2 (2025), 1380-2725

Section

Research Article

License

Copyright (c) 2025 Laila A. Alnaser, et al.

Creative Commons License

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

How to Cite

1.
A Spectral Collocation Approach for Time-Fractional Korteweg-de Vries-Burgers Equation via First-Kind Chebyshev Polynomials. Contemp. Math. [Internet]. 2025 Feb. 28 [cited 2025 Dec. 24];6(2):1501-19. Available from: https://ojs353.mebyme.cn/index.php/CM/article/view/5948