New two-derivative implicit-explicit Runge-Kutta methods for stiff reaction-diffusion systems

被引：3

作者：

Singh, Ankit ^{[1
]}

Maurya, Vikas ^{[1
]}

Rajpoot, Manoj K. ^{[1
]}

机构：

[1] Rajiv Gandhi Inst Petr Technol, Dept Math Sci, Math & Comp Lab, Amethi 229304, UP, India

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 2022年 / 471卷

关键词：

Two -derivative Runge-Kutta methods; Stability analysis; Turing instability; Allen -Cahn equation; Schnakenberg model; Electrodeposition model; SEMIIMPLICIT NUMERICAL SCHEME; MODEL; APPROXIMATIONS; GROWTH; FLOW;

D O I：

10.1016/j.jcp.2022.111610

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

Reaction-diffusion systems are extensively used in the mathematical modeling of biological and chemical systems to explain the Turing instability. Generally, reaction-diffusion systems are highly stiff in both reaction and diffusion terms. This paper discusses a new class of two-derivative implicit-explicit (IMEX) Runge-Kutta (RK) type methods for the numerical simulations of stiff reaction-diffusion systems. The present methods do not require numerical inversion of the coefficient matrix -computationally explicit. Stability properties of the developed methods are compared with the similar methods discussed in the literature. Moreover, accuracy and efficiency of the developed methods are validated by numerical simulations of spatiotemporal pattern formations for different reaction-diffusion systems, such as, phase-separation, Schnakenberg model and electrodeposition process.(c) 2022 Elsevier Inc. All rights reserved.

引用

页数：18

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