Title :
A Novel Family of Exponential Integrators Solving the Two-Gene Regulatory System
Author :
You, Xiong ; Zhou, Xiaodong ; Musa, Ibrahim ; Shi, Lei
Author_Institution :
Dept. of Appl. Math., Nanjing Agric. Univ., Nanjing, China
Abstract :
In this paper, a family of exponential integrators of Runge-Kutta type are formulated for initial value problems of systems of ordinary differential equations with asymptotically stable equilibria. A convenient approach to constructing new exponential RK methods on the base of traditional Runge-Kutta methods is presented. The exponential RK methods are zero-dispersive and zero-dissipative, and are much more accurate than the corresponding traditional RK methods when applied to the two-gene regulatory system.
Keywords :
differential equations; genetics; initial value problems; integration; molecular biophysics; network theory (graphs); RK method; Runge-Kutta type integrator; asymptotic stability equilibrium; exponential integrator; initial value problem; ordinary differential equation; two-gene regulatory system; zero-dispersive method; zero-dissipative method; Differential equations; Dispersion; Educational institutions; Equations; Jacobian matrices; Mathematical model; Numerical models; Exponential Runge-Kutta method; Two-gene regulatory system; dispersion; dissipation; equilibrium;
Conference_Titel :
Information and Computing Science (ICIC), 2012 Fifth International Conference on
Conference_Location :
Liverpool
Print_ISBN :
978-1-4673-1985-0
DOI :
10.1109/ICIC.2012.4
