FINITE-DIFFERENCE METHOD OF ORDER SIX FOR THE TWO-DIMENSIONAL STEADY AND UNSTEADY BOUNDARY-LAYER EQUATIONS-Reference-Cited by-同舟云学术

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

Published:2005-05 Issue:05 Volume:16 Page:757-780
ISSN:0129-1831
Container-title:International Journal of Modern Physics C
language:en
Short-container-title:Int. J. Mod. Phys. C

Author:

SALAMA A. A.¹,MANSOUR A. A.²

Affiliation:

1. Department of Mathematics, Faculty of Science, Assiut University, Assiut 71516, Egypt

2. Department of Mathematics, Faculty of Science, Al-Azhar University, Assiut, Egypt

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Computational Theory and Mathematics,Computer Science Applications,General Physics and Astronomy,Mathematical Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129183105007467

Reference30 articles.

2. THE CONSTRUCTION OF SPECIAL EXPLICIT SOLUTIONS OF THE BOUNDARY-LAYER EQUATIONS. UNSTEADY FLOWS

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