A Spectral Collocation Approach for Time-Fractional Korteweg-de Vries-Burgers Equation via First-Kind Chebyshev Polynomials
DOI:
https://doi.org/10.37256/cm.6220255948Keywords:
first kind chebyshev polynomials, collocation method, time-fractional KdV-Burgers' equationAbstract
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
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1.
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 2025 Mar. 9];6(2):1501-19. Available from: https://ojs.wiserpub.com/index.php/CM/article/view/5948
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Research Article
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Copyright (c) 2025 Laila A. Alnaser, et al.
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