FINITE-DIFFERENCE METHOD OF ORDER SIX FOR THE TWO-DIMENSIONAL STEADY AND UNSTEADY BOUNDARY-LAYER EQUATIONS

A. A. Salama () and A. A. Mansour
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A. A. Salama: Department of Mathematics, Faculty of Science, Assiut University, Assiut 71516, Egypt
A. A. Mansour: Department of Mathematics, Faculty of Science, Al-Azhar University, Assiut, Egypt

International Journal of Modern Physics C (IJMPC), 2005, vol. 16, issue 05, 757-780

Abstract: In this article, we propose a high order method for solving steady and unsteady two-dimensional laminar boundary-layer equations. This method is convergent of sixth-order of accuracy. It is shown that this method is unconditionally stable. The unsteady separated stagnation point flow, the Falkner–Skan equation and Blasius equation are considered as special cases of these equations. Numerical experiments are given to illustrate our method and its convergence.

Keywords: Finite-difference method; third-order boundary-value problems; stagnation point; Falkner–Skan equation; Blasius equation (search for similar items in EconPapers)
Date: 2005
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DOI: 10.1142/S0129183105007467

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