Hybrid Runge–Kutta methods for ordinary differential equations

被引：0
|
作者：
Zhongli Liu
Jintao Hu
Hongjiong Tian
机构：
[1] Shanghai University of International Business and Economics,School of Statistics and Information
[2] Shanghai Normal University,Department of Mathematics
来源：
Computational and Applied Mathematics | 2020年 / 39卷
关键词：
Hybrid Runge–Kutta method; Order conditions; Stability; A-stability; L-stability; 65L05; 65L06;
D O I：
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学科分类号：
摘要：
We propose a class of s-stage hybrid Runge–Kutta methods for solving ordinary differential equations and study their order conditions and numerical stability property. Examples of second-, third-, and fifth-order hybrid Runge–Kutta methods are given. Numerical experiments are conducted to demonstrate the efficiency of the proposed methods.
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