Analytical solution of the viscous flow over a stretching sheet by multi-step optimal homotopy asymptotic method
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Authors
M. Fiza
- Department of Mathematics, Abdul Wali Khan University, Mardan, 23200, Pakistan.
H. Ullah
- Department of Mathematics, Abdul Wali Khan University, Mardan, 23200, Pakistan.
S. Islam
- Department of Mathematics, Abdul Wali Khan University, Mardan, 23200, Pakistan.
F. Chohan
- Department of IT, Burraimi University College, Burraimi, Oman.
Abstract
In this article the governing equations of viscous flow over a stretching sheet are reduced to ordinary boundary value problem by using a similarity transformation. The new analytical approach Multi-step Optimal Homotopy Asymptotic Method (MOHAM) is formulated and used for the boundary value problem. The numerical comparison of Homotopty Perturbation Method (HPM), exact solution, DTM, and numerical results (Runge Kutta Method) revealed that the new technique is powerful method for solving boundary layer equations. Also the solution is plotted for various values of \(\beta \).
Share and Cite
ISRP Style
M. Fiza, H. Ullah, S. Islam, F. Chohan, Analytical solution of the viscous flow over a stretching sheet by multi-step optimal homotopy asymptotic method, Journal of Mathematics and Computer Science, 20 (2020), no. 1, 43--49
AMA Style
Fiza M., Ullah H., Islam S., Chohan F., Analytical solution of the viscous flow over a stretching sheet by multi-step optimal homotopy asymptotic method. J Math Comput SCI-JM. (2020); 20(1):43--49
Chicago/Turabian Style
Fiza, M., Ullah, H., Islam, S., Chohan, F.. "Analytical solution of the viscous flow over a stretching sheet by multi-step optimal homotopy asymptotic method." Journal of Mathematics and Computer Science, 20, no. 1 (2020): 43--49
Keywords
- MOHAM
- boundary layer problem
- Navier Stokes equations
- DTM
MSC
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