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.
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页码：5271 / 5278
页数：8
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