2 research outputs found
A New Trigonometrically Fitted Two-Derivative Runge-Kutta Method for the Numerical Solution of the Schrödinger Equation and Related Problems
A new trigonometrically fitted fifth-order two-derivative Runge-Kutta method with
variable nodes is developed for the numerical solution of the radial Schrödinger equation
and related oscillatory problems. Linear stability and phase properties of the new
method are examined. Numerical results are reported to show the robustness and competence
of the new method compared with some highly efficient methods in the recent
literature
Splitting Strategy for Simulating Genetic Regulatory Networks
The splitting approach is developed for the numerical simulation of genetic regulatory networks with a stable steady-state structure. The numerical results of the simulation of a one-gene network, a two-gene network, and a p53-mdm2 network show that the new splitting methods constructed in this paper are remarkably more effective and more suitable for long-term computation with large steps than the traditional general-purpose Runge-Kutta methods. The new methods have no restriction on the choice of stepsize due to their infinitely large stability regions