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arXiv · 1508.00167

Similarity solutions of Reaction-Diffusion equation with space- and time-dependent diffusion and reaction terms

C. -L. Ho·C. -C. Lee
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Abstract

We consider solvability of the generalized reaction-diffusion equation with both space- and time-dependent diffusion and reaction terms by means of the similarity method. By introducing the similarity variable, the reaction-diffusion equation is reduced to an ordinary differential equation. Matching the resulting ordinary differential equation with known exactly solvable equations, one can obtain corresponding exactly solvable reaction-diffusion systems. Several representative examples of exactly solvable reaction-diffusion equations are presented.

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C. -L. Ho, C. -C. Lee. 2015-08-01. Similarity solutions of Reaction-Diffusion equation with space- and time-dependent diffusion and reaction terms. https://doi.org/10.1016/j.aop.2015.11.002

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