Semi-Analytical Analysis of Drug Diffusion through a Thin Membrane Using the Differential Quadrature Method

The primary goal of this work is to solve the problem drug diffusion through a thin membrane using differential quadrature approach with drastically different shape functions, such as Lagrange interpolation and discrete singular convolution (the delta kernel regularized Shannon kernel). A nonlinear partial equation two time- space-dependent variables governs system. To reduce independent by one, transformed into an ordinary one-parameter group transformation. With aid iterative technique, methods change algebraic equation. Then, MATLAB program, code created that solves for each function. ensure validity, efficiency, accuracy developed techniques, computed results are compared previous numerical analytical solutions. In addition, L∞ error applied. As consequence outcomes, method, which primarily based on function, effective method can be used membrane, guaranteeing higher accuracy, faster convergence, greater reliability than other techniques.