The Second-order Explicit RKC Method

摘要：

The second-order explicit Runge-Kutta-Chebyshev method(RKC) is an s-stage Runge-Kutta method designed for explicit integration of modestly stiff systems of ordinary differential equations. The method possesses extended real stability interval with a length 0 proportional to s2. Remarkable properties of the RKC method make it possible to select at each size the most efficient stable formula as well as the most efficient step size. By numerical experiments we show that the RKC method is more efficient than Matlab function Ode45 to solve the stiff problem. This function is based on a fourth-order explicit RK formula.

关键词： second order explicit RKC method modestly stiff systems efficient step size efficient stable formula

作者: Zhang Limei

作者单位: College of Computer Science and Engineering Changchun University of Technology Changchun, P.R.China

会议类型: 国际会议

会议名称: 2010 International Conference on Computer,Mechatronics,Control and Electronic Engineering(2010计算机、机电、控制与电子工程国际会议 CMCE 2010)

会议地点: 长春

会议语种:英文

页码: 425-426

在线出版日期: 2010-08-24（万方平台首次上网日期，不代表论文的发表时间）