Construction of the Nordsieck second derivative methods with RK stability for stiff ODEs

被引：3
作者：
Behzad, B. [1 ,2 ]
Ghazanfari, B. [1 ]
Abdi, A. [2 ]
机构：
[1] Lorestan Univ, Dept Math, Khorramabad, Iran
[2] Univ Tabriz, Fac Math Sci, Tabriz, Iran
来源：
COMPUTATIONAL & APPLIED MATHEMATICS | 2018年 / 37卷 / 04期
关键词：
Stiff differential equations; Second derivative methods; Nordsieck methods; Runge-Kutta stability; A and L stability; Variable stepsize; GENERAL LINEAR METHODS; ORDINARY DIFFERENTIAL-EQUATIONS; RUNGE-KUTTA STABILITY; MULTISTAGE INTEGRATION METHODS; INHERENT QUADRATIC STABILITY; NUMERICAL-INTEGRATION; SYSTEMS; IMPLEMENTATION; EXPLICIT; ORDER;
D O I：
10.1007/s40314-018-0619-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the construction and implementation of special Nordsieck second derivative general linear methods of order p and stage order in which the number of input and output values is rather than . We will construct A- and L-stable methods of orders three and four in this form with Runge-Kutta stability properties. The efficiency of the constructed methods and reliability of the proposed error estimates are shown by implementing of the methods in a variable stepsize environment on some well-known stiff problems.
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页码：5098 / 5112
页数：15
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