%0 Journal Article %T Symmetry and Numerical Solutions for Systems of Non-linear Reaction Diffusion Equations %A Sanjeev Kumar %A Ravendra Singh %J Mathematics %D 2007 %I arXiv %X 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. %U http://arxiv.org/abs/0704.2012v1