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An improved approximation technique to obtain numerical solution of a class of two‐point boundary value similarity problems in fluid mechanics
Author(s) -
Kafoussias N. G.,
Williams E. W.
Publication year - 1993
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1650170204
Subject(s) - mathematics , tridiagonal matrix , boundary value problem , similarity (geometry) , numerical analysis , fluid mechanics , ordinary differential equation , finite difference method , numerical methods for ordinary differential equations , similarity solution , mathematical analysis , differential equation , computer science , collocation method , boundary layer , mechanics , physics , eigenvalues and eigenvectors , image (mathematics) , quantum mechanics , artificial intelligence
A simple and efficient approximate numerical technique is presented to obtain solutions to a wide class of two‐point boundary value similarity problems in fluid mechanics. This technique is based on the common finite difference method with central differencing, a tridiagonal matrix manipulation and an iterative procedure. The technique described in this paper has been successfully applied to three different representative similarity problems of fluid mechanics. Each one of these problems is described by a coupled, non‐linear system of three ordinary differential equations and has already been solved elsewhere using a different numerical method. So, the obtained numerical results, by our efficient numerical technique, permit a comparative study and show the accuracy and the effectiveness of this technique.