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

Maurizio Garrione, Marta Strani, Heteroclinic Traveling Fronts for Reaction-Convection-Diffusion Equations with a Saturating Diffusive Term, Indiana University Mathematics Journal, Vol. 68, No. 6 ...

Implicit-explicit (IMEX) schemes have been widely used, especially in conjunction with spectral methods, for the time integration of spatially discretized partial differential equations (PDEs) of ...