Generalized third-kind Chebyshev tau approach for treating the time fractional cable problem
This work introduces a computational method for solving the time-fractional cable equation (TFCE). We utilize the tau method for the numerical treatment of the TFCE, using generalized Chebyshev polynomials of the third kind (GCPs3) as basis functions. The integer and fractional derivatives of the GC...
主要な著者: | Waleed Mohamed Abd-Elhameed, Omar Mazen Alqubori, Abdulrahman Khalid Al-Harbi, Mohammed H. Alharbi, Ahmed Gamal Atta |
---|---|
フォーマット: | 論文 |
言語: | English |
出版事項: |
AIMS Press
2024-11-01
|
シリーズ: | Electronic Research Archive |
主題: | |
オンライン・アクセス: | https://www.aimspress.com/article/doi/10.3934/era.2024288 |
類似資料
-
A collocation procedure for the numerical treatment of FitzHugh–Nagumo equation using a kind of Chebyshev polynomials
著者:: Waleed Mohamed Abd-Elhameed, 等
出版事項: (2025-01-01) -
Numerical treatment of the fractional Rayleigh-Stokes problem using some orthogonal combinations of Chebyshev polynomials
著者:: Waleed Mohamed Abd-Elhameed, 等
出版事項: (2024-08-01) -
Spectral Treatment of High-Order Emden–Fowler Equations Based on Modified Chebyshev Polynomials
著者:: Waleed Mohamed Abd-Elhameed, 等
出版事項: (2023-01-01) -
Eighth-Kind Chebyshev Polynomials Collocation Algorithm for the Nonlinear Time-Fractional Generalized Kawahara Equation
著者:: Waleed Mohamed Abd-Elhameed, 等
出版事項: (2023-08-01) -
Modal Shifted Fifth-Kind Chebyshev Tau Integral Approach for Solving Heat Conduction Equation
著者:: Ahmed Gamal Atta, 等
出版事項: (2022-10-01)