International Journal of Differential Equations
- Int. J. Differ. Equ.
- Volume 2014 (2014), Article ID 287480, 10 pages.
Solving Singular Boundary Value Problems by Optimal Homotopy Asymptotic Method
In this paper, optimal homotopy asymptotic method (OHAM) for the semianalytic solutions of nonlinear singular two-point boundary value problems has been applied to several problems. The solutions obtained by OHAM have been compared with the solutions of another method named as modified adomain decomposition (MADM). For testing the success of OHAM, both of the techniques have been analyzed against the exact solutions in all problems. It is proved by this paper that solutions of OHAM converge rapidly to the exact solution and show most effectiveness as compared to MADM.
Int. J. Differ. Equ., Volume 2014 (2014), Article ID 287480, 10 pages.
Received: 14 February 2014
Revised: 1 June 2014
Accepted: 2 June 2014
First available in Project Euclid: 20 January 2017
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Zuhra, S.; Islam, S.; Idrees, M.; Nawaz, Rashid; Shah, I. A.; Ullah, H. Solving Singular Boundary Value Problems by Optimal Homotopy Asymptotic Method. Int. J. Differ. Equ. 2014 (2014), Article ID 287480, 10 pages. doi:10.1155/2014/287480. https://projecteuclid.org/euclid.ijde/1484881406