Superconvergence analysis of multistep collocation method for delay Volterra integral equations

被引：0

作者：

Darania, P. ^{[1
]}

机构：

[1] Urmia Univ, Dept Math, Fac Sci, POB 165, Orumiyeh, Iran

来源：

COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS | 2016年 / 4卷 / 03期

关键词：

Delay integral equations; Multistep collocation method; Convergence and superconvergence analysis;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we will present a review of the multistep collocation method for Delay Volterra Integral Equations (DVIEs) from [4] and then, we study the superconvergence analysis of the multistep collocation method for DVIEs. Some numerical examples are given to confirm our theoretical results.

引用

页码：205 / 216

页数：12

共 50 条

[21] SUPERCONVERGENCE FOR MULTISTEP COLLOCATION
LIE, I
NORSETT, SP
MATHEMATICS OF COMPUTATION, 1989, 52 (185) : 65 - 79
[22] A multistep collocation method for solving advection equations with delay
Sadeghi, Bahareh
Maleki, Mohammad
Kamali, Zeinab
Almasieh, Homa
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2023, 39 (02) : 1652 - 1671
[23] Multistep collocation approximations to solutions of first-kind Volterra integral equations
Zhang, Tingting
Liang, Hui
APPLIED NUMERICAL MATHEMATICS, 2018, 130 : 171 - 183
[24] An efficient spectral collocation method for solving Volterra delay integral equations of the third kind
Ghalini, Rohollah Ghaedi
Hesameddini, Esmail
Dastjerdi, Hojatollah Laeli
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2024, 454
[25] Super Implicit Multistep Collocation Methods for Weakly Singular Volterra Integral Equations
Zhao, Jingjun
Long, Teng
Xu, Yang
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2019, 12 (04) : 1039 - 1065
[26] LEGENDRE SPECTRAL-COLLOCATION METHOD FOR VOLTERRA INTEGRAL DIFFERENTIAL EQUATIONS WITH NONVANISHING DELAY
Chen, Yanping
Gu, Zhendong
COMMUNICATIONS IN APPLIED MATHEMATICS AND COMPUTATIONAL SCIENCE, 2013, 8 (01) : 67 - 98
[27] Superconvergence of interpolated collocation solutions for weakly singular Volterra integral equations of the second kind
Qiumei Huang
Min Wang
Computational and Applied Mathematics, 2021, 40
[28] Optimal superconvergence orders of iterated collocation solutions for volterra integral equations with vanishing delays
Brunner, H
Hu, QY
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2005, 43 (05) : 1934 - 1949
[29] ON DISCRETE SUPERCONVERGENCE PROPERTIES OF SPLINE COLLOCATION METHODS FOR NONLINEAR VOLTERRA INTEGRAL-EQUATIONS
BRUNNER, H
JOURNAL OF COMPUTATIONAL MATHEMATICS, 1992, 10 (04): : 348 - 357
[30] Superconvergence of system of Volterra integral equations by spectral approximation method
Chakraborty, Samiran
Nelakanti, Gnaneshwar
APPLIED MATHEMATICS AND COMPUTATION, 2023, 441

← 1 2 3 4 5 →