Application of generalized differential quadrature rule in Blasius and Onsager equations
Copyright policy )Application of generalized differential quadrature rule in Blasius and Onsager equations
AbstractThe generalized differential quadrature rule (GDQR) proposed recently by the authors is applied here to third‐order non‐linear differential equations of the Blasius type and to sixth‐order linear Onsager differential equations. High (⩾3rd)‐order differential equations in fluid mechanics are dealt with without using δ‐point techniques. The half‐space domain is simplified in a practical way. Accurate results are obtained for both kinds of problems. The wide applicability of the GDQR in high‐order differential equations is manifested further through this work. Copyright © 2001 John Wiley & Sons, Ltd.
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Other numerical methods (fluid mechanics), Onsager equation, Blasius equation, General theory of rotating fluids, Boundary-layer theory, separation and reattachment, higher-order effects, 510, 620, generalized differential quadrature rule, sixth-order linear Onsager differential equations, collocation method, Differential quadrature method, Falker-Skan equation, third-order nonlinear differential equations of Blasius type, Collocation method
Other numerical methods (fluid mechanics), Onsager equation, Blasius equation, General theory of rotating fluids, Boundary-layer theory, separation and reattachment, higher-order effects, 510, 620, generalized differential quadrature rule, sixth-order linear Onsager differential equations, collocation method, Differential quadrature method, Falker-Skan equation, third-order nonlinear differential equations of Blasius type, Collocation method
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