Special multistep methods based on numerical differentiation for solving the initial value problem

被引：2

作者：

Rao, P. S. Rama Chandra ^{[1
]}

机构：

[1] Kakatiya Inst Technol & Sci, Dept Math, Warangal 506015, Andhra Pradesh, India

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2006年 / 181卷 / 01期

关键词：

multistep methods; special multistep methods; numerical differentiation; initial value problem; absolute stability;

D O I：

10.1016/j.amc.2005.12.063

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, methods based on numerical differentiation and their regions of absolute stability of some classes of special multistep methods are derived. Some of the methods given in Henrici [P. Henrici, Discrete Variable Methods in Ordinary Differential Equations, Wiley, 1962] and some methods derived in this paper are applied to solve a second-order initial value problem hence establishing the superiority of the methods derived in this paper. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：500 / 510

页数：11

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