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

Nina Garcia-Montoya | Zendy; Julienne Kabre | Zendy; Jorge E. MacíasDíaz | Zendy; Qin Sheng | Zendy

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

Author(s) -

Nina Garcia-Montoya,

Julienne Kabre,

Jorge E. MacíasDíaz,

Qin Sheng

Publication year - 2021

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2021/5530744

Subject(s) - discretization , grid , advection , gravitational singularity , diffusion , computer science , quenching (fluorescence) , focus (optics) , reaction–diffusion system , mathematics , mathematical optimization , mathematical analysis , geometry , physics , thermodynamics , quantum mechanics , optics , fluorescence

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 for the numerical solution of reaction-diffusion-advection equations modeling quenching types of singularities occurring in numerous applications. Our investigations particularly focus at cases where nonuniform spatial grids are utilized. Detailed derivations and analysis are accomplished. Easy-to-use and highly effective second-order schemes are acquired. Computational experiments are presented to illustrate our results as well as to demonstrate the viability and capability of the new methods for solving singular quenching problems on arbitrary grid platforms.

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