Abstract
The numerical solution of convection-diffusion equation is presented by using Chebyshev spectral method based on El-Gendi method via Lie group analysis. Firstly, we apply Lie symmetry group analysis for the convection-diffusion equation. This method yields convection-diffusion equation to a system of ordinary differential equations (ODEs). Secondly, this system is solved numerically by using Chebyshev spectral method. The numerical results obtained by this way are compared with the exact solution.
Recommended Citation
Assabaai, M. A.
(2018),
NUMERICAL SOLUTION OF CONVECTION-DIFFUSION EQUATION BY CHEBYSHEV SPECTRAL METHOD VIA LIE GROUP METHOD,
Yanbu Journal of Engineering and Science: Vol. 16:
Iss.
1, 57-64.
DOI: https://doi.org/10.53370/001c.24343
Available at:
https://yjes.researchcommons.org/yjes/vol16/iss1/6
