Homotopy Analysis Decomposition Method for the Solution of Viscous Boundary Layer Flow Due to a Moving Sheet
S. Alao, R. A. Oderinu, F. O. Akinpelu, E. I. Akinola
Journal of Advances in Mathematics and Computer Science · pp. 1–7 · Published 10 Jun 2019
10.9734/jamcs/2019/v32i530157Abstract
This paper investigates a new approach called Homotopy Analysis Decomposition Method (HADM) for solving nonlinear differential equations, the method was developed by incorporating Adomian polynomial into Homotopy Analysis Method. The Adomian polynomial was used to decompose the nonlinear term in the equation then apply the scheme of homotopy analysis method. The accuracy and efficiency of the proposed method was validated by considering algebraically decaying viscous boundary layer flow due to a moving sheet. Diagonal Pade approximation was used to get the skin friction. The obtained results were presented along with other methods in the literature in tabular form to show the computational efficiency of the new approach. The results were found to agree with those in literature. Owing to its small size of computation, the method is not aected by discretization error as the results are presented in form of polynomials.
Cited by 5
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EMMANUEL AKINOLA, Rasaq Adekola Oderinu, Saheed Alao · Journal of the Nigerian Society of Physical Sciences · 2022
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