Numerical solution of weakly singular linear Volterra integro-differential equations

被引：5

作者：

Baratella, P ^{[1
]}

Orsi, AP ^{[1
]}

机构：

[1] Politecn Torino, I-10129 Turin, Italy

来源：

COMPUTING | 2006年 / 77卷 / 01期

关键词：

Volterra integral equations; weakly singular kernel;

D O I：

10.1007/s00607-005-0148-9

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this paper, we show that a known technique of smoothing can be successfully employed in the numerical solution of weakly singular linear Volterra integro-differential equations and we introduce a Nystrom-type method whose order of convergence is also estimated.

引用

下载

页码：77 / 96

页数：20

共 50 条

[1] Numerical Solution of Weakly Singular Linear Volterra Integro-differential Equations
P. Baratella
A. Palamara Orsi
Computing, 2006, 77 : 77 - 96
[2] The numerical solution of weakly singular Volterra functional integro-differential equations with variable delays
Brunner, H
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2006, 5 (02) : 261 - 276
[3] On the approximate solution of weakly singular integro-differential equations of Volterra type
A. A. Pedas
Differential Equations, 2004, 40 : 1345 - 1353
[4] On the approximate solution of weakly singular in integro-differential equations of Volterra type
Pedas, AA
DIFFERENTIAL EQUATIONS, 2004, 40 (09) : 1345 - 1353
[5] Numerical solution of Volterra integro-differential equations
Vanani, S. Karimi
Aminataei, A.
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2011, 13 (04) : 654 - 662
[6] Numerical Solution of Fractional Integro-Differential Equations with Weakly Singular Kernels
Pedas, Arvet
Tamme, Enn
Vikerpuur, Mikk
INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM-2018), 2019, 2116
[7] Spline approximations for weakly singular Volterra integro-differential equations
Parts, I
Pedas, A
INTEGRAL METHODS IN SCIENCE AND ENGINEERING: ANALYTIC AND NUMERICAL TECHNIQUES, 2004, : 175 - 180
[8] Numerical solution of linear fractional weakly singular integro-differential equations with integral boundary conditions
Pedas, Arvet
Tamme, Enn
Vikerpuur, Mikk
APPLIED NUMERICAL MATHEMATICS, 2020, 149 : 124 - 140
[9] On the numerical solution of linear and nonlinear volterra integral and integro-differential equations
Mohsen, Adel
El-Gamel, Mohamed
APPLIED MATHEMATICS AND COMPUTATION, 2010, 217 (07) : 3330 - 3337
[10] On the numerical solution of a class of linear fractional integro-differential algebraic equations with weakly singular kernels
Ghanbari, F.
Mokhtary, P.
Ghanbari, K.
APPLIED NUMERICAL MATHEMATICS, 2019, 144 : 1 - 20

← 1 2 3 4 5 →