Dual Approximate Solutions of the Unsteady Viscous Flow over a Shrinking Cylinder with Optimal Homotopy Asymptotic Method | Zendy

Vasile Marinca | Zendy; Remus-Daniel Ene | Zendy

Open Access

Dual Approximate Solutions of the Unsteady Viscous Flow over a Shrinking Cylinder with Optimal Homotopy Asymptotic Method

Author(s) -

Vasile Marinca,

Remus-Daniel Ene

Publication year - 2014

Publication title -

advances in mathematical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.283

H-Index - 23

eISSN - 1687-9139

pISSN - 1687-9120

DOI - 10.1155/2014/417643

Subject(s) - mathematics , homotopy analysis method , homotopy , cylinder , convergence (economics) , suction , flow (mathematics) , matrix similarity , nonlinear system , transformation (genetics) , mathematical analysis , partial differential equation , mechanics , geometry , physics , biochemistry , chemistry , meteorology , pure mathematics , economics , gene , economic growth , quantum mechanics

The unsteady viscous flow over a continuously shrinking surface with mass suction is investigated using the optimal homotopy asymptotic method (OHAM). The nonlinear differential equation is obtained by means of the similarity transformation. The dual solutions exist for a certain range of mass suction and unsteadiness parameters. A very good agreement was found between our approximate results and numerical solutions, which prove that OHAM is very efficient in practice, ensuring a very rapid convergence after only one iteration

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