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.
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