## a b s t r a c t In his application of the homotopy perturbation (HP) method to the problem of the threedimensional flow past a stretching sheet, P.D. Ariel [The three-dimensional flow past a stretching sheet and the homotopy perturbation method, Comput. Math. Appl. 54 (2007) 920-925] encountere
The three-dimensional flow past a stretching sheet and the homotopy perturbation method
β Scribed by P. Donald Ariel
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 183 KB
- Volume
- 54
- Category
- Article
- ISSN
- 0898-1221
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β¦ Synopsis
An approximate analytical solution is obtained of the steady, laminar three-dimensional flow for an incompressible, viscous fluid past a stretching sheet using the homotopy perturbation method (HPM) proposed by He. The flow is governed by a boundary value problem (BVP) consisting of a pair of non-linear differential equations. The solution is simple yet highly accurate and compares favorably with the exact solutions obtained early in the literature. The methodology presented in the paper is useful for solving the BVPs consisting of more than one differential equation.
π SIMILAR VOLUMES
The problem of the boundary layer flow of an incompressible viscous fluid over a non-linear stretching sheet is considered. Homotopy analysis method (HAM) is applied in order to obtain analytical solution of the governing nonlinear differential equations. The obtained results are finally compared th
s method a b s t r a c t Analytical solutions have been obtained for the problem of steady, laminar flow of a viscous, incompressible fluid past a rotating disk using the homotopy perturbation method (HPM). The single-parameter HPM is attempted first. Since it does not give adequately accurate resul