Finite element solution of coupled-partial differential and ordinary equations in multicomponent polymeric coatings

Mass transport equations in multicomponent polymeric coatings are nonlinear coupled partial differential equations. These equations were solved using Galerkin's method of finite elements which converts them to ordinary differential equations. Residuals were made orthogonal by using quadratic basis functions. Non-uniform elements were used to capture steep concentration gradient near the top of the coating. Finite element formulation has been solved using ode15s of MATLAB. Results are in very good agreement with the earlier results using different solution techniques.

► Multicomponent polymeric coatings. ► Free volume theory. ► Coupled partial differential equations. ► Galerkin's finite element method. ► MATLAB solution.