Variable stepsize SDIMSIMs for ordinary differential equations

被引：0

作者：

Jalilian, A. ^{[1
]}

Abdi, A. ^{[1
]}

Hojjati, G. ^{[1
]}

机构：

[1] Univ Tabriz, Fac Math Sci, Tabriz, Iran

来源：

APPLIED NUMERICAL MATHEMATICS | 2021年 / 168卷

关键词：

Ordinary differential equations; General linear methods; Second derivative methods; Variable stepsize; Order conditions; GENERAL LINEAR METHODS; MULTISTAGE INTEGRATION METHODS; 2ND-DERIVATIVE METHODS; ERROR ESTIMATION; IMPLEMENTATION; ORDER; CONSTRUCTION;

D O I：

10.1016/j.apnum.2021.05.028

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Second derivative general linear methods (SGLMs) have been already implemented in a variable stepsize environment using Nordsieck technique. In this paper, we introduce variable stepsize SGLMs directly on nonuniform grid. By deriving the order conditions of the proposed methods of order p and stage order q = p, some explicit examples of these methods up to order four are given. By some numerical experiments, we show the efficiency of the proposed methods in solving nonstiff problems and confirm the theoretical order of convergence. (C) 2021 IMACS. Published by Elsevier B.V. All rights reserved.

引用

页码：115 / 126

页数：12

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