Mathematics Faculty Articles
Document Type
Article
Publication Date
5-6-2021
Publication Title
Discrete Dynamics in Nature and Society
ISSN
1026-0226
Volume
2021
First Page
5530744
Abstract
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.
Additional Comments
Copyright © 2021 Nina Garcia-Montoya et al.
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
NSUWorks Citation
Garcia-Montoya, Nina; Kabre, Julienne; Macías-Díaz, Jorge E.; and Sheng, Qin, "Second-Order Semi-Discretized Schemes for Solving Stochastic Quenching Models on Arbitrary Spatial Grids" (2021). Mathematics Faculty Articles. 321.
https://nsuworks.nova.edu/math_facarticles/321
ORCID ID
0000-0001-7817-4308
DOI
10.1155/2021/5530744
Comments
The first, second, and last authors acknowledge the constant support from Baylor University during the realization of this work. The third author acknowledges the financial support from the National Council for Science and Technology of Mexico (CONACYT) through grant A1-S-45928.