A reliable numerical method for solving fractional reaction-diffusion equations

The present work aims to solve the fractional reaction–diffusion equation (RDE) using an effective and powerful hybrid analytical scheme, namely q-HASTM. The suggested technique is the combination of Sumudu transform (ST) and HAM technique. The definition of Caputo's fractional derivative has used. The numerical procedure reveals that only few iterations are needed for better approximation of the solution which illustrate the competence and sincerity of the suggested scheme. The impact of the reaction term in the solution of the problem explained through the graph.