PROMISING TECHNIQUE FOR ANALYTIC TREATMENT OF DIFFUSION EQUATIONS

In this paper, the new powerful and efficient technique named Reconstruction of Variational Iteration Method (RVIM) is applied to find the analytic and approximate solutions for nonlinear diffusion equations. The RVIM technique is independent of any small parameters at all. The algorithm overcomes the difficulty arising in calculating nonlinear intricately terms. Besides, it provides us with a simple way to ensure the convergence of solution series, so that we can always get enough accuracy in approximations as well as this method is capable of reducing the size of calculation. The obtained numerical results compared with the analytic solutions show that the method provides remarkable accuracy for different values of time (t) and distance (x).