An optimization technique for the falkner-skan equation

Abstract

Rayleigh-Ritz method is modified to use an unconstrained optimization method in its minimization process. Chebyshev spectral technique based on El-Gendi method is used to approximate the solution of the problem and its derivatives. The Falkner-Skan equation has been solved through the use of Chebyshev Spectral-Ritz method for different values of its parameters. Comparisons are made between the proposed method and the classical solution.

Keywords:

• Nonlinear programming
• Falkner-Skan equation
• boundary layer theory
• Chebyshev spectral-Ritz method