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Zbl 1221.65282
Nadeem, S.; Hussain, Anwar; Khan, Majid
HAM solutions for boundary layer flow in the region of the stagnation point towards a stretching sheet.
(English)
[J] Commun. Nonlinear Sci. Numer. Simul. 15, No. 3, 475-481 (2010). ISSN 1007-5704

Summary: We describe the stagnation point flow of a viscous fluid towards a stretching sheet. The complete analytical solution of the boundary layer equation has been obtained by homotopy analysis method (HAM). The solutions are compared with the available numerical results obtained by {\it R. Nazar} et al. [Int. J. Eng. Sci. 42, No. 11--12, 1241--1253 (2004; Zbl 1211.76042)] and a good agreement is found. The convergence region is also computed which shows the validity of the HAM solution.
MSC 2000:
*65M99 Numerical methods for IVP of PDE
76D10 Boundary-layer theory (incompressible fluids)

Keywords: analytic solutions; steady flow; stagnation point flow; stretching sheet

Citations: Zbl 1211.76042

Cited in: Zbl 1221.76069

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

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