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.

引用

页码：919 / 928

页数：10

共 50 条

[21] NONLINEAR VOLTERRA INTEGRAL-EQUATIONS OF THE FIRST KIND
DEIMLING, K
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1995, 25 (9-10) : 951 - 957
[22] Numerical solution of nonlinear Volterra integral equations of the second kind by using Chebyshev polynomials
Maleknejad, K.
Sohrabi, S.
Rostami, Y.
APPLIED MATHEMATICS AND COMPUTATION, 2007, 188 (01) : 123 - 128
[23] Extrapolation for solving a system of weakly singular nonlinear Volterra integral equations of the second kind
Han, Huilei
He, Xiaoming
Liu, Yaping
Lu, Tao
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2011, 88 (16) : 3507 - 3520
[24] Extrapolation method for solving weakly singular nonlinear Volterra integral equations of the second kind
Lu Tao
Huang Yong
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 324 (01) : 225 - 237
[25] THE OPTIMAL HOMOTOPY ASYMPTOTIC METHOD WITH APPLICATION TO SECOND KIND OF NONLINEAR VOLTERRA INTEGRAL EQUATIONS
Ullah, H.
Mukhtar, S.
Nawaz, M.
Adnan, M.
INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 2020, 18 (01): : 85 - 98
[26] Numerical implementation of the Adomian decomposition method for nonlinear Volterra integral equations of the second kind
Javadi, Sh.
Davari, A.
Babolian, E.
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2007, 84 (01) : 75 - 79
[27] TO STUDY THE STABILITY OF SOLUTIONS OF TEST NONCLASSICAL VOLTERRA EQUATIONS OF THE FIRST KIND
Apartsyn, A. S.
SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA, 2015, 12 : C15 - C20
[28] Fractional differential equations and Volterra–Stieltjes integral equations of the second kind
Avyt Asanov
Ricardo Almeida
Agnieszka B. Malinowska
Computational and Applied Mathematics, 2019, 38
[29] A New Analysis of Volterra-Fredholm Boundary Integral Equations of Second Kind
杨洪涛
Northeastern Mathematical Journal, 1997, (03) : 325 - 334
[30] On the error analysis of the numerical solution of linear Volterra integral equations of the second kind
Maleknejad, K.
Najafi, E.
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2013, 90 (05) : 1008 - 1022

← 1 2 3 4 5 →