School of Computer Science, Institute for Research in Fundamental Sciences (IPM)
Abstract
In this paper, we aim to introduce a weighted orthogonal system on the half-line based on the exponential Gegenbauer functions. We use these functions in collocation method to solve MHD Falkner-Skan equation, which arises in the study of laminar boundary layers exhibiting similarity on the semi-infinite domain. This method solves the problem on the semi-infinite domain without truncating it to a finite domain and transforming the domain of the problem to a finite domain. We make a comparison between the results of the proposed system with the numerical results to show that the present method has an acceptable accuracy.
Baharifard, F. (2024). Exponential Gegenbauer collocation method for solving the MHD Falkner-Skan equation. Computational Mathematics and Computer Modeling with Applications (CMCMA), 3(1), 13-20. https://doi.org/10.48308/CMCMA.3.1.13
MLA
Baharifard, F. "Exponential Gegenbauer collocation method for solving the MHD Falkner-Skan equation", Computational Mathematics and Computer Modeling with Applications (CMCMA), 3, 1, 2024, 13-20. doi: 10.48308/CMCMA.3.1.13
HARVARD
Baharifard F. (2024). 'Exponential Gegenbauer collocation method for solving the MHD Falkner-Skan equation', Computational Mathematics and Computer Modeling with Applications (CMCMA), 3(1), pp. 13-20. doi: 10.48308/CMCMA.3.1.13
CHICAGO
F. Baharifard, "Exponential Gegenbauer collocation method for solving the MHD Falkner-Skan equation," Computational Mathematics and Computer Modeling with Applications (CMCMA), 3 1 (2024): 13-20, doi: 10.48308/CMCMA.3.1.13
VANCOUVER
Baharifard F. Exponential Gegenbauer collocation method for solving the MHD Falkner-Skan equation. Computational Mathematics and Computer Modeling with Applications (CMCMA). 2024;3(1):13-20. doi: 10.48308/CMCMA.3.1.13
