Oscillation analysis of numerical solutions in the θ-methods for differential equation of advanced type

被引：1

作者：

Gao, Jianfang ^{[1
]}

Liu, Shimeng ^{[1
]}

机构：

[1] Harbin Normal Univ, Sch Math & Sci, Harbin 150025, Heilongjiang, Peoples R China

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2015年 / 38卷 / 18期

关键词：

numerical solution; theta-methods; oscillation; ALMOST-PERIODIC SOLUTIONS; RUNGE-KUTTA METHODS; CONSTANT ARGUMENT; GREENS-FUNCTION; PIECEWISE; STABILITY; SYSTEMS;

D O I：

10.1002/mma.3458

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The paper deals with the oscillation analysis of numerical solution in the theta-methods for differential equations with piecewise constant arguments of advanced type. The conditions of the oscillation for the theta-methods are obtained. It is proved that the oscillation of the analytic solution is preserved by the theta-methods. Some numerical experiments are given. Copyright (C) 2015 JohnWiley & Sons, Ltd.

引用

页码：5271 / 5278

页数：8

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