An Iterative Finite Difference Approach with Time Variable Steps for the Numerical Investigation of the Model of Drug Diffusion Through Polymeric Spheres

In this paper, a mathematical model of drug diffusion in spherical polymeric drug delivery devices is considered and investigated numerically. The proposed model considered as a moving boundary parabolic equation with nonlinear condition at the moving boundary. Because of the nonlinearity of the problem and existence of a moving boundary in proposed problem, a new iterative finite differences approach with time variable steps is established to solve this problem. The closed form of solution of the proposed problem has not been derived and to show the ability of the method, the numerical results have been compared with asymptotic solutions and the results of the paper [14].
Keywords