A simple perturbation approach to Blasius equation

Authors:
Ji-Huan He
Affiliations:
College of Science, Shanghai Donghua University, 1882 Yan'an Xilu Road, Shanghai 200051, China
Venue:
Applied Mathematics and Computation
Year:
2003

Citing 0
Cited 10

He's parameter-expanding methods for strongly nonlinear oscillators

Journal of Computational and Applied Mathematics
Harmonic wave generation in non linear thermoelasticity by variational iteration method and Adomian's method

Journal of Computational and Applied Mathematics
Axisymmetric flow due to a stretching sheet with partial slip

Computers & Mathematics with Applications
The three-dimensional flow past a stretching sheet and the homotopy perturbation method

Computers & Mathematics with Applications
Approximate analytical solution for the Zakharov-Kuznetsov equations with fully nonlinear dispersion

Journal of Computational and Applied Mathematics
Rational scaled generalized Laguerre function collocation method for solving the Blasius equation

Journal of Computational and Applied Mathematics
Exact solutions of some coupled nonlinear partial differential equations using the homotopy perturbation method

Computers & Mathematics with Applications
New perturbation-iteration solutions for Bratu-type equations

Computers & Mathematics with Applications
Solution of the Falkner-Skan wedge flow by HPM-Pade' method

Advances in Engineering Software
Some notes on using the homotopy perturbation method for solving time-dependent differential equations

Mathematical and Computer Modelling: An International Journal

Quantified Score

Hi-index	0.49

Visualization

Abstract

In this paper, we couple the iteration method with the perturbation method to solve the well-known Blasius equation. The obtained approximate analytic solutions are valid for the whole solution domain. Comparison with Howarth's numerical solution reveals that the proposed method is of high accuracy, the first iteration step leads to 6.8% accuracy, and the second iteration step yields the 0.73% accuracy of initial slop.