Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 1071.65108
Allan, Fathi M.; Syam, Muhammed I.
On the analytic solutions of the nonhomogeneous Blasius problem. (English)
[J] J. Comput. Appl. Math. 182, No. 2, 362-371 (2005). ISSN 0377-0427

Summary: A totally analytic solution of the nonhomogeneous Blasius problem is obtained using the homotopy analysis method. This solution converges for $0\leqslant \eta < \infty$. Existence and nonuniqueness of solution is also discussed. An implicit relation between the velocity at the wall $\lambda$ and the shear stress $\alpha=f''(0)$ is obtained. The results presented here indicate that two solutions exist in the range $0 < \lambda < \lambda_c$, for some critical value $\lambda_c$ one solution exists for $\lambda=\lambda_c$, and no solution exists for $\lambda > \lambda_c$. An analytical value of the critical value of $\lambda_c$ is also obtained for the first time.

MSC 2000:: *65L10 Boundary value problems for ODE (numerical methods)
34B15 Nonlinear boundary value problems of ODE

Keywords: Blasius problem; analytic solution; homotopy analysis method

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]