Ng. Kafoussias et Ew. Williams, AN IMPROVED APPROXIMATION TECHNIQUE TO OBTAIN NUMERICAL-SOLUTION OF ACLASS OF 2-POINT BOUNDARY-VALUE SIMILARITY PROBLEMS IN FLUID-MECHANICS, International journal for numerical methods in fluids, 17(2), 1993, pp. 145-162
A simple and efficient approximate numerical technique is presented to
obtain solutions to a wide class of two-point boundary value similari
ty problems in fluid mechanics. This technique is based on the common
finite difference method with central differencing, a tridiagonal matr
ix manipulation and an iterative procedure. The technique described in
this paper has been successfully applied to three different represent
ative similarity problems of fluid mechanics. Each one of these proble
ms is described by a coupled, non-linear system of three ordinary diff
erential equations and has already been solved elsewhere using a diffe
rent numerical method. So, the obtained numerical results, by our effi
cient numerical technique, permit a comparative study and show the acc
uracy and the effectiveness of this technique.