A numerical method for functional Hammerstein integro-differential equations

被引：0

作者：

Saeedi, L. ^{[1
]}

Tari, A. ^{[1
]}

机构：

[1] Shahed Univ, Dept Math, Tehran, Iran

来源：

APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL | 2018年 / 13卷 / 01期

关键词：

Successive approximations; Functional Hammerstein; Integro-differential equation; Trapezoidal quadrature; Spline interpolation; Nonlinear; Numerical method;

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, a numerical method is presented to solve functional Hammerstein integro-differential equations. The presented method combines the successive approximations method with trapezoidal quadrature rule and natural cubic spline interpolation to solve the mentioned equations. The existence and uniqueness of the problem is also investigated. The convergence and numerical stability of the problem are proved, and finally, the accuracy of the method is verified by presenting some numerical computations.

引用

页码：333 / 353

页数：21

共 50 条

[31] On One Investigation of Numerical Solution of Integro-Differential Equations of Volterra Type
Mehdiyeva, Galina
Ibrahimov, Vagif
Imanova, Mehriban
2012 IV INTERNATIONAL CONFERENCE PROBLEMS OF CYBERNETICS AND INFORMATICS (PCI), 2012,
[32] Exponential spline for the numerical solutions of linear Fredholm integro-differential equations
Taherh Tahernezhad
Reza Jalilian
Advances in Difference Equations, 2020
[33] Numerical solution of optimal control problems governed by integro-differential equations
Marzban, Hamid Reza
ASIAN JOURNAL OF CONTROL, 2020, 22 (03) : 1138 - 1146
[34] Integro-Differential Equations of Fractional Order
Saïd Abbas
Mouffak Benchohra
John R. Graef
Differential Equations and Dynamical Systems, 2012, 20 (2) : 139 - 148
[35] A Problem with Parameter for the Integro-Differential Equations
Bakirova, Elmira A.
Assanova, Anar T.
Kadirbayeva, Zhazira M.
MATHEMATICAL MODELLING AND ANALYSIS, 2021, 26 (01) : 34 - 54
[36] Partial neutral functional integro-differential equations of fractional order with delay
Saïd Abbas
Mouffak Benchohra
Alberto Cabada
Boundary Value Problems, 2012
[37] The numerical solution of integro-differential equation by means of the Sinc method
Rashidinia, J.
Zarebnia, M.
APPLIED MATHEMATICS AND COMPUTATION, 2007, 188 (02) : 1124 - 1130
[38] Partial neutral functional integro-differential equations of fractional order with delay
Abbas, Said
Benchohra, Mouffak
Cabada, Alberto
BOUNDARY VALUE PROBLEMS, 2012,
[39] Application of differential transform method on nonlinear integro-differential equations with proportional delay
Reza Abazari
Adem Kılıcman
Neural Computing and Applications, 2014, 24 : 391 - 397
[40] Application of differential transform method on nonlinear integro-differential equations with proportional delay
Abazari, Reza
Kilicman, Adem
NEURAL COMPUTING & APPLICATIONS, 2014, 24 (02) : 391 - 397

← 1 2 3 4 5 →