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Adv. Appl. Math. Mech., 2 (2010), pp. 379-388. |
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Ma's Variation of Parameters Method for Fisher's Equations Syed Tauseef Mohyud-Din 1*, Ahmet Yildirim 2 1 COMSATS Institute of Information Technology, Lahore, Pakistan2 Ege University, Department of Mathematics, 35100 Bornova-\.{I}zmir, Turkey Received 24 June 2009; Accepted (in revised version) 7 November 2009 doi: 10.4208/aamm.09-m0957 Abstract In this paper, we apply Ma's variation of parameters method (VPM) for solving Fisher's equations. The suggested algorithm proved to be very efficient and finds the solution without any discretization, linearization, perturbation or restrictive assumptions. Numerical results reveal the complete reliability of the proposed VPM. Key words: Variation of parameters method, variational iteration method, nonlinear problems, Fisher's equation, nonlinear diffusion equation, error estimates.*Corresponding author. Email: syedtauseefs@hotmail.com (S.~T.~Mohyud-Din) |