Generalized Differential-Integral Quadrature and the Solution of the Boundary Layer Equations. G.U. Aero Report 9122

Shu, C. and Richards, B. E. (1991) Generalized Differential-Integral Quadrature and the Solution of the Boundary Layer Equations. G.U. Aero Report 9122. Technical Report. Department of Aerospace Engineering, University of Glasgow.

Abstract

The global methods of generalized differential quadrature (GDQ) and generalized integral quadrature (GIQ) for solutions of partial differential and integral equations are presented in this paper. These methods approximate the derivatives and integrals by a linear combination of all the functional values in the overall domain, where the weighting coefficients can be readily identified. The error estimations of GDQ and GIQ have also been analysed. Application of GDQ and GIQ to solve boundary layer equations demonstrated that accurate numerical results can be obtained using just a few grid points.

• Item Type: Research Reports or Papers (Technical Report)
• Status: Published
• Glasgow Author(s) Enlighten ID: Richards, Professor Bryan
• Authors: Shu, C., and Richards, B. E.
• College/School: College of Science and Engineering > School of Engineering > Autonomous Systems and Connectivity
• Publisher: Department of Aerospace Engineering, University of Glasgow
• Copyright Holders: Copyright © 1991 Department of Aerospace Engineering, University of Glasgow
• Publisher Policy: Reproduced with the permission of the Department