A trigonometric series expansion method for the Orr-Sommerfeld equation

A trigonometric series expansion method and two similar modified methods for the Orr-Sommerfeld equation are presented. These methods use the trigonometric series expansion with an auxiliary function added to the highest order derivative of the unknown function and generate the lower order derivativ...

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Veröffentlicht in:	Applied mathematics and mechanics 2019-06, Vol.40 (6), p.877-888
Hauptverfasser:	Tan, Ying, Su, Weidong
Format:	Artikel
Sprache:	eng
Schlagworte:	Applications of Mathematics Basis functions Boundary conditions Boundary layer flow Chebyshev approximation Classical Mechanics Collocation methods Couette flow Finite difference method Fluid- and Aerodynamics Laminar flow Mathematical Modeling and Industrial Mathematics Mathematics Mathematics and Statistics Methods Orr-Sommerfeld equations Partial Differential Equations Series expansion
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