An adaptive algorithm for complete quenching phenomenon of semilinear diffusion equations over nonuniform grids
发布时间：2026-10-08
点击次数：
发表刊物：Journal of Computational and Applied Mathematics
摘要：This paper presents a novel study that investigates complete quenching phenomena in a twodimensional (2D) semilinear diffusion equation, which arises in the context of catalytic and enzymatic reactions. A numerical scheme that utilizes a nonuniform spatial discretization is employed to effectively resolve the steep gradients encountered at the time of uenching. Further, an adaptive time mesh is implemented to optimize time-step and accurately measure both single-point and complete quenching across the entire domain. The stability of the numerical scheme is analyzed under special constraints on the time step. Simulations are conducted numerically for both 1D and 2D problems to investigate critical domain sizes. The time of single-point quenching and complete quenching is compared and analyzed to understand their relationship with initial conditions, as well as the dynamics of parameter control related to the source term. Finally, the numerical results are validated by comparing the computed outcomes of quenching with existing findings in the literature. This paper is the first to extend the simulation study of single-point quenching, a well-established concept in the literature, to complete quenching and to compare these two phenomena.
合写作者：Yufeng Xu
第一作者：Riya Kumari Burman, Rajesh K. Pandey
论文类型：期刊论文
学科门类：理学
一级学科：数学
文献类型：J
是否译文：否
发表时间：2026-10-07
收录刊物：SCI