Collocation Methods for A Class of Volterra Integral Functional Equations with Multiple Proportional Delays

被引：3

作者：

Zhang, Kai ^{[1
]}

Li, Jie ^{[1
]}

机构：

[1] Jilin Univ, Dept Math, Changchun 130023, Jilin, Peoples R China

来源：

ADVANCES IN APPLIED MATHEMATICS AND MECHANICS | 2012年 / 4卷 / 05期

关键词：

Volterra integral functional equation; multiple proportional delays; collocation method;

D O I：

10.4208/aamm.10-m11147

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we apply the collocation methods to a class of Volterra integral functional equations with multiple proportional delays (VIFEMPDs). We shall present the existence, uniqueness and regularity properties of analytic solutions for this type of equations, and then analyze the convergence orders of the collocation solutions and give corresponding error estimates. The numerical results verify our theoretical analysis.

引用

页码：575 / 602

页数：28

共 50 条

[1] Collocation methods for nonlinear convolution Volterra integral equations with multiple proportional delays
Zhang, Kai
Li, Jie
Song, Haiming
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2012, 218 (22) : 10848 - 10860
[2] Geometric meshes in collocation methods for Volterra integral equations with proportional delays
Brunner, H
Hu, QUY
Lin, Q
[J]. IMA JOURNAL OF NUMERICAL ANALYSIS, 2001, 21 (04) : 783 - 798
[3] Collocation methods for third-kind Volterra integral equations with proportional delays
Song, Huiming
Xiao, Yu
Chen, Minghao
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2021, 388
[4] COLLOCATION METHODS FOR GENERAL VOLTERRA FUNCTIONAL INTEGRAL EQUATIONS WITH VANISHING DELAYS
Xie, Hehu
Zhang, Ran
Brunner, Hermann
[J]. SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2011, 33 (06): : 3303 - 3332
[5] Collocation methods for Volterra functional integral equations with non-vanishing delays
Ming, Wanyuan
Huang, Chengming
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2017, 296 : 198 - 214
[6] Multilevel correction for collocation solutions of Volterra integral equations with proportional delays
Xiao, Junmin
Hu, Qiya
[J]. ADVANCES IN COMPUTATIONAL MATHEMATICS, 2013, 39 (3-4) : 611 - 644
[7] Multilevel correction for collocation solutions of Volterra integral equations with proportional delays
Junmin Xiao
Qiya Hu
[J]. Advances in Computational Mathematics, 2013, 39 : 611 - 644
[8] Iterated collocation methods for nonlinear third-kind Volterra integral equations with proportional delays
Huiming Song
Zhanwen Yang
Yu Xiao
[J]. Computational and Applied Mathematics, 2022, 41
[9] Iterated collocation methods for nonlinear third-kind Volterra integral equations with proportional delays
Song, Huiming
Yang, Zhanwen
Xiao, Yu
[J]. COMPUTATIONAL & APPLIED MATHEMATICS, 2022, 41 (04):
[10] Superconvergence in collocation methods for Volterra integral equations with vanishing delays
Ming, Wanyuan
Huang, Chengming
Li, Meng
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2016, 308 : 361 - 378

← 1 2 3 4 5 →