Numerical Solution of Higher Index Nonlinear Integral Algebraic Equations of Hessenberg Type Using Discontinuous Collocation Methods

被引：16

作者：

Shiri, Babak ^{[1
]}

机构：

[1] Univ Tabriz, Fac Math Sci, Tabriz, Iran

来源：

MATHEMATICAL MODELLING AND ANALYSIS | 2014年 / 19卷 / 01期

关键词：

integral equation; collocation method; piecewise; integral algebraic equation; discontinuous piecewise collocation methods; continuous piecewise collocation methods; 1ST KIND; DISCRETIZATION;

D O I：

10.3846/13926292.2014.893455

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we deal with a system of linear and nonlinear integral algebraic equations (IAEs) of Hessenberg type. Convergence analysis of the discontinuous collocation methods is investigated for the large class of IAEs based on the new definitions. Finally, some numerical experiments are provided to support the theoretical results.

引用

页码：99 / 117

页数：19

共 50 条

[31] NUMERICAL SOLUTION OF A CLASS OF NONLINEAR TWO-DIMENSIONAL INTEGRAL EQUATIONS USING BERNOULLI POLYNOMIALS
Bazm, Sohrab
SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS, 2016, 3 (01): : 37 - 51
[32] Numerical Solution for a Class of Nonlinear Emden-Fowler Equations by Exponential Collocation Method
Aslefallah, Mohammad
Abbasbandy, Saeid
Yuzbasi, Suayip
APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL, 2023, 18 (01):
[33] Nodal-type collocation methods for hypersingular integral equations and nonlocal diffusion problems
Zhang, Xiaoping
Gunzburger, Max
Ju, Lili
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2016, 299 : 401 - 420
[34] A collocation method for the numerical solution of a class of linear stochastic integral equations based on Legendre polynomials
Yaghoobnia, Alireza
Kazemi, Manochehr
2022 SECOND INTERNATIONAL CONFERENCE ON DISTRIBUTED COMPUTING AND HIGH PERFORMANCE COMPUTING (DCHPC), 2022, : 26 - 30
[35] Analytical and numerical methods for the solution to the rigid punch contact integral equations
Antoni, N.
JOURNAL OF COMPUTATIONAL SCIENCE, 2025, 85
[36] A meshless method for the numerical solution of nonlinear weakly singular integral equations using radial basis functions
Assari, Pouria
Dehghan, Mehdi
EUROPEAN PHYSICAL JOURNAL PLUS, 2017, 132 (05):
[37] Numerical solution of linear and nonlinear Fredholm integral equations by using weighted mean-value theorem
Alturk, Ahmet
SPRINGERPLUS, 2016, 5
[38] Bernoulli polynomials for the numerical solution of some classes of linear and nonlinear integral equations
Bazm, S.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2015, 275 : 44 - 60
[39] 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
[40] Numerical solution of nonlinear Volterra-Fredholm integral equations using hybrid of block-pulse functions and Taylor series
Mirzaee, Farshid
Hoseini, Ali Akbar
ALEXANDRIA ENGINEERING JOURNAL, 2013, 52 (03) : 551 - 555

← 1 2 3 4 5 →