Algebraic stabilization of explicit numerical integration for extremely stiff reaction networks
نویسندگان
چکیده
منابع مشابه
Numerical modeling for nonlinear biochemical reaction networks
Nowadays, numerical models have great importance in every field of science, especially for solving the nonlinear differential equations, partial differential equations, biochemical reactions, etc. The total time evolution of the reactant concentrations in the basic enzyme-substrate reaction is simulated by the Runge-Kutta of order four (RK4) and by nonstandard finite difference (NSFD) method. A...
متن کاملNumerical Methods for Stiff Reaction-diffusion Systems
In a previous study [21], a class of efficient semi-implicit schemes was developed for stiff reaction-diffusion systems. This method which treats linear diffusion terms exactly and nonlinear reaction terms implicitly has excellent stability properties, and its second-order version, with a name IIF2, is linearly unconditionally stable. In this paper, we present another linearly unconditionally s...
متن کاملMultirate Numerical Integration for Stiff ODEs
This paper contains an overview of a self-adjusting multirate method. A simple extension which allows the improvement of the efficiency of the method is introduced. The performance of the extended and the original method is compared for a test problem.
متن کاملA Comparison of Explicit Semi-Analytical Numerical Integration Methods for Solving Stiff ODE Systems
Corresponding Author: E.R. El-Zahar Department of Mathematics, Sciences and Humanities College, Salman Bin Abdulaziz University, Alkharj, 11942, KSA Email: [email protected] Abstract: In this study, a comparison among three semi-analytical numerical integration algorithms for solving stiff ODE systems is presented. The algorithms are based on Differential Transform Method (DTM) which ar...
متن کاملA Non-linear Absolutely-stable Explicit Numerical Integration Algorithm for Stiff Initial-value Problems
The time-step in integration process has two restrictions. The first one is the time step restriction due to accuracy requirement τac and the second one is the time-step restriction due to stability requirement τst. The most of explicit methods have small stability regions and consequently small τst. It obliges us to solve stiff problems with small step size τst << τac. The implicit methods wor...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Computational Physics
سال: 2012
ISSN: 0021-9991
DOI: 10.1016/j.jcp.2012.04.026