Second-Order Semi-Discretized Schemes for Solving Stochastic Quenching Models on Arbitrary Spatial Grids

Reaction-diffusion-advection equations provide precise interpretations for many important phenomena in complex interactions between natural and artificial systems. This paper studies second-order semi-discretizations the numerical solution of reaction-diffusion-advection modeling quenching types singularities occurring numerous applications. Our investigations particularly focus at cases where nonuniform spatial grids are utilized. Detailed derivations analysis accomplished. Easy-to-use highly effective schemes acquired. Computational experiments presented to illustrate our results as well demonstrate viability capability new methods solving singular problems on arbitrary grid platforms.