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. doi: 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
