Novel Exponentially Fitted Two-Derivative Runge-Kutta Methods with Equation-Dependent Coefficients for First-Order Differential Equations

被引：0

作者：

Yang, Yanping ^{[1
]}

Fang, Yonglei ^{[1
]}

You, Xiong ^{[2
]}

Wang, Bin ^{[3
]}

机构：

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

[2] Nanjing Agr Univ, Dept Appl Math, Nanjing 210095, Jiangsu, Peoples R China

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

来源：

DISCRETE DYNAMICS IN NATURE AND SOCIETY | 2016年 / 2016卷

基金：

中国博士后科学基金;

关键词：

INITIAL-VALUE PROBLEMS; NUMERICAL-INTEGRATION; CONSTRUCTION;

D O I：

10.1155/2016/9827952

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The construction of exponentially fitted two-derivative Runge-Kutta (EFTDRK) methods for the numerical solution of first-order differential equations is investigated. The revised EFTDRK methods proposed, with equation-dependent coefficients, take into consideration the errors produced in the internal stages to the update. The local truncation errors and stability of the new methods are analyzed. The numerical results are reported to show the accuracy of the new methods.

引用

页数：6

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