Convergence of Iterative Methods Applied to Generalized Fisher Equation
Keyword(s):
A generalized Fisher's equation is solved by using the modified Adomian decomposition method (MADM), variational iteration method (VIM), homotopy analysis method (HAM), and modified homotopy perturbation method (MHPM). The approximation solution of this equation is calculated in the form of series whose components are computed easily. The existence, uniqueness, and convergence of the proposed methods are proved. Numerical example is studied to demonstrate the accuracy of the present methods.
2009 ◽
Vol 64
(11)
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pp. 685-690
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2009 ◽
Vol 23
(01)
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pp. 39-52
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2012 ◽
Vol 2012
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pp. 1-14
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2006 ◽
Vol 172
(1)
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pp. 431-438
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2012 ◽
Vol 2012
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pp. 1-12
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