Mathematical Analysis of Reaction Diffusion Equation using Laplace Transform in Life Sciences

Abstract

This work is connected with the solution of reaction diffusion equation by Laplace transform in life sciences. Here we use the integral transform and inverse integral transform techniques to solve the boundary value problem with different boundary conditions. We also use some special function to solve the problem. The reaction diffusion equation and its solution is used in many fields like environment, medicines, oxygen diffusion through living tissues, problem of hemodailyser, spread of epidemics. These all areas are related to life sciences. To show its application in different areas, the examples are also illustrated.