Perturbative Linearization of Reaction-Diffusion Equations

Details Perturbative Linearization of Reaction-Diffusion Equations Perturbative Linearization of Reaction-Diffusion Equations

2002-09-23

arxiv.org/abs/cond-mat/0209524v1

J. Phys. A 36 (2003) 2043-2054

Physics

Condensed Matter

13 pages, 4 figures, latex2e

Scientific paper

10.1088/0305-4470/36/8/303

We develop perturbative expansions to obtain solutions for the initial-value problems of two important reaction-diffusion systems, viz., the Fisher equation and the time-dependent Ginzburg-Landau (TDGL) 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.

Affiliated with

Also associated with

No associations

Rating

Perturbative Linearization of Reaction-Diffusion Equations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Perturbative Linearization of Reaction-Diffusion Equations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Perturbative Linearization of Reaction-Diffusion Equations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-576468