The study of pattern formation in reaction-diffusion systems and convection dynamics has opened new avenues for understanding how complex spatial structures arise from relatively simple underlying ...

This is a preview. Log in through your library . Abstract The streamline-diffusion finite element method (SDFEM) is applied to a convection-diffusion problem posed on the unit square, using a Shishkin ...

The application of a standard Galerkin finite element method for convection-diffusion problems leads to oscillations in the discrete solution, therefore stabilization seems to be necessary. We discuss ...

This paper develops two local mesh-free methods for designing stencil weights and spatial discretization, respectively, for parabolic partial differential equations (PDEs) of ...

Diffusion is the net movement of molecules from an area where they are at a higher concentration to areas where they are at a lower concentration. This is due to the random movement of the molecules.