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Application of generalized differential quadrature rule in Blasius and Onsager equations. (English) Zbl 0996.76072
Summary: The generalized differential quadrature rule (GDQR) is applied to third-order nonlinear differential equations of Blasius type and to sixth-order linear Onsager differential equations. High $$(\geq\text{3rd})$$-order differential equations in fluid mechanics are dealt with without using $$\delta$$-point techniques. The half-space domain is simplified in a practical way, and accurate results are obtained for both kinds of problems. The applicability of GDQR in high-order differential equations is manifested further through this work.

##### MSC:
 76M25 Other numerical methods (fluid mechanics) (MSC2010) 76D10 Boundary-layer theory, separation and reattachment, higher-order effects 76U05 General theory of rotating fluids
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