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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 |

### Keywords:

collocation method; Falker-Skan equation; generalized differential quadrature rule; third-order nonlinear differential equations of Blasius type; sixth-order linear Onsager differential equations
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\textit{G. R. Liu} and \textit{T. Y. Wu}, Int. J. Numer. Methods Eng. 52, No. 9, 1013--1027 (2001; Zbl 0996.76072)

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