MATHEMATICAL MODEL FOR ONE DIMENSIONAL DIFFUSION EQUATION WITHIN THE FIXED LIMITS

A model for the mathematical description of diffusion process is presented through this work and an attempt is also made for the applicability of Green?s function method for solving the one dimensional diffusion equation within the desired limits. From this process the required solution to this diffusion equation by considering the initial condition t = 0 will be obtained. This equation describes the rate of change of concentrations of substances to its own lattice or may be in different substances with a constant diffusion coefficient. At last a computational approach will also be used for getting the numerical solutions. While solving the equation we throughout consider t = 0, so that the result may also be applicable in an isothermal diffusion.