NEW ANALYTICAL SOLUTIONS FOR THE REACTION- CONVECTION-DIFFUSION EQUATION AGAINST ITS NUMERICAL SOLUTIONS

We will achieve new configuration of the analytical solutions to the reaction-convection-diffusion equation (RCDE) which possess a significant role in mathematical physics applications and biological science. These new configurations of the analytical solution have been documented via the Paul-Painleve approach method (PPAM) and the (G'/G)-expansion method. These two techniques are used for the first time to achieve these new configurations of the analytical solution of this equation. In addition, the numerical solutions analogous to all achieved analytical solutions have been detected via the variational iteration method (VIM) that usually gives good numerical solutions.