Application of generalized differential quadrature rule in Blasius and Onsager equations

Abstract

The 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.