Puri, Sanjay ; Wiese, Kay Jörg (2003) Perturbative linearization of reaction-diffusion equations Journal of Physics A: Mathematical and General, 36 (8). pp. 2043-2054. ISSN 0305-4470
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Official URL: http://iopscience.iop.org/0305-4470/36/8/303
Related URL: http://dx.doi.org/10.1088/0305-4470/36/8/303
Abstract
We develop perturbative expansions to obtain solutions for the initial-value problems of two important reaction–diffusion systems, namely the Fisher equation and the time-dependent Ginzburg-Landau equation. The starting point of our expansion is the corresponding singular-perturbation solution. This approach transforms the solution of nonlinear reaction-diffusion equations into the solution of a hierarchy of linear equations. Our numerical results demonstrate that this hierarchy rapidly converges to the exact solution.
Item Type: | Article |
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Source: | Copyright of this article belongs to Institute of Physics. |
ID Code: | 36160 |
Deposited On: | 25 Apr 2011 07:17 |
Last Modified: | 17 May 2016 19:08 |
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