Application of generalized differential quadrature rule in Blasius and Onsager equations

✍ Scribed by G. R. Liu; T. Y. Wu

• Publisher: John Wiley and Sons
• Year: 2001
• Tongue: English
• Weight: 115 KB
• Volume: 52
• Category: Article
• ISSN: 0029-5981
• DOI: 10.1002/nme.251

✦ Synopsis

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.