A new family of A-stable Runge-Kutta methods with equation-dependent coefficients for stiff problems

被引：5

作者：

Fang, Yonglei ^{[1
]}

Yang, Yanping ^{[1
]}

You, Xiong ^{[2
]}

Wang, Bin ^{[3
]}

机构：

[1] Zaozhuang Univ, Sch Math & Stat, Zaozhuang 277160, Peoples R China

[2] Nanjing Agr Univ, Coll Sci, Nanjing 210095, Peoples R China

[3] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Peoples R China

来源：

NUMERICAL ALGORITHMS | 2019年 / 81卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Runge-Kutta method; Stiff problem; A-stability; FOURIER COLLOCATION METHODS;

D O I：

10.1007/s11075-018-0619-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A new family of A-stable Runge-Kutta methods with equation-dependent (EDRK) coefficients for the numerical solution of stiff differential equations is investigated. The newly constructed four-stage EDRK methods are of algebraic order five. The linear stability properties are analyzed. Numerical experiments are carried out to show the efficiency of the new methods compared with the existing codes in the literature.

引用

页码：1235 / 1251

页数：17

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