Language:   Search:   Contact
Zentralblatt MATH has released its new interface!
For an improved author identification, see the new author database of ZBMATH.

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

Highlights
Master Server