河南理工大学学报：自然科学版2012，Vol.31Issue(5)：622-626,5.
一类精确指数拟合的Runge-Kutta方法
A class of exponential fitted Runge-Kutta method
摘要
Abstract
A class of exponential fitted Runge-Kutta method with a free parameter to #0is constructed. If ω→ 0,when cI =0 the method is explicit one step Euler method with first order convergence; when cl = 1/2 the method is implicit midpoint formula and of second order convergence; when c1 = lthe method is implicit back- ward Euler method and of first order convergence. Both of them areL-stable. Based on the estimation of local truncation error, an automatic step size control algorithm is given to choose the optimal parametertosuch that the error is as small as possible. Numerical tests are shown so as to support the superiority of the proposed method.关键词
指数拟合/Runge-kutta方法/步长控制Key words
cathaysian flora/coal-bearingstrata/permian/dafengkou分类
数理科学引用本文复制引用
张静静,吴旭..一类精确指数拟合的Runge-Kutta方法[J].河南理工大学学报：自然科学版,2012,31(5):622-626,5.基金项目
国家自然科学基金资助项目 （）
