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Affiliation of Author(s):计算机科学与工程学院
Journal:2010 International Conference on Computer, Mechatronics,Control and Electric Engineering (CMCE 2010)
Funded by:自选课题
Key Words:second order explicit RKC method,modestly stiff systems,efficient step size,efficient stable formula
Abstract: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 β 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.
First Author:zhanglimei
Indexed by:Essay collection
Page Number:2
Translation or Not:no
Date of Publication:2010-08-24
