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

Y. H.  Youssri; Laila A.  Alnaser; A. G.  Atta

doi:10.37256/cm.6220255948

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

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

How to Cite

Youssri YH, Alnaser LA, Atta AG. A Spectral Collocation Approach for Time-Fractional Korteweg-de Vries-Burgers Equation via First-Kind Chebyshev Polynomials. Contemp. Math. [Internet]. 2025 Feb. 28 [cited 2026 Jun. 4];6(2):1501-19. Available from: https://ojs.wiserpub.com/index.php/CM/article/view/5948

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Issue

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

Section

Research Article

License

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