Symmetry and Numerical Solutions for Systems of Non-linear Reaction Diffusion Equations

2007/04/16 by Kumar, Sanjeev, Singh, Ravendra
#92B99 #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Numerical Analysis (math.NA)

paper · doi:10.48550/arxiv.0704.2012

Abstract

Many important applications are available for nonlinear reaction-diffusion equation especially in the area of biology and engineering. Therefore a mathematical model for Lie symmetry reduction of system of nonlinear reaction-diffusion equation with respect to one-dimensional Algebra is carried out in this work. Some classes of analytical and numerical solutions are obtained and expressed using suitable graphs.

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