Stability Analysis of Nonclassical Difference Schemes for Nonlinear Volterra Integral Equations of the Second Kind

被引：1
|
作者：
Botoroeva, M. N. [1 ,2 ]
Bulatov, M. V. [1 ]
机构：
[1] Russian Acad Sci, Matrosov Inst Syst Dynam & Control Theory, Siberian Branch, Irkutsk 664033, Russia
[2] Irkutsk State Univ, Irkutsk 664003, Russia
来源：
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2023年 / 63卷 / 06期
基金：
俄罗斯科学基金会;
关键词：
nonlinear Volterra integral equations of the second kind; difference schemes; A-stability; L-stability; P-stability;
D O I：
10.1134/S0965542523060052
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A family of first- and second-order accurate noniterative numerical methods is constructed for solving systems of nonlinear Volterra integral equations of the second kind. The methods are examined for A-, L-, and P-stability. The conclusions are illustrated by numerical results obtained for test equations with stiff and oscillating components.
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页码：919 / 928
页数：10
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