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The use of Sinc‐collocation method for solving Falkner–Skan boundary‐layer equation
Author(s) -
Parand K.,
Dehghan Mehdi,
Pirkhedri A.
Publication year - 2010
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.2493
Subject(s) - sinc function , collocation method , mathematics , ordinary differential equation , partial differential equation , mathematical analysis , domain (mathematical analysis) , boundary layer , regularized meshless method , laminar flow , collocation (remote sensing) , orthogonal collocation , boundary (topology) , differential equation , singular boundary method , finite element method , boundary element method , physics , computer science , mechanics , thermodynamics , machine learning
Abstract The MHD Falkner–Skan equation arises in the study of laminar boundary layers exhibiting similarity on the semi‐infinite domain. The proposed approach is equipped by the orthogonal Sinc functions that have perfect properties. This method solves the problem on the semi‐infinite domain without truncating it to a finite domain and transforming domain of the problem to a finite domain. In addition, the governing partial differential equations are transformed into a system of ordinary differential equations using similarity variables, and then they are solved numerically by the Sinc‐collocation method. It is shown that the Sinc‐collocation method converges to the solution at an exponential rate. Copyright © 2010 John Wiley & Sons, Ltd.