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.

引用

页码：5098 / 5112

页数：15

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