Solution of nonlinear Volterra-Hammerstein integral equations via rationalized Haar functions

被引：19

作者：

Razzaghi, M ^{[1
]}

Ordokhani, Y

机构：

[1] Mississippi State Univ, Dept Math & Stat, Mississippi State, MS 39762 USA

[2] Amirkabir Univ, Dept Math, Tehran, Iran

来源：

MATHEMATICAL PROBLEMS IN ENGINEERING | 2001年 / 7卷 / 02期

关键词：

rationalized Haar; Volterra-Hammerstein; nonlinear; integral equations;

D O I：

10.1155/S1024123X01001612

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Rationalized Haar functions are developed to approximate the solutions of the nonlinear Volterra-Hammerstein integral equations. Properties of Rationalized Haar functions are first presented, and the operational matrix of integration together with the product operational matrix are utilized to reduce the computation of integral equations to into some algebraic equations. The method is computationally attractive, and applications are demonstrated through illustrative examples.

引用

页码：205 / 219

页数：15

共 50 条

[41] Solution of nonlinear integral equations of Hammerstein type
Chidume, C. E.
Ofoedu, E. U.
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2011, 74 (13) : 4293 - 4299
[42] The use of rationalized Haar wavelet collocation method for solving optimal control of Volterra integral equations
Maleknejad, Khosrow
Ebrahimzadeh, Asyieh
JOURNAL OF VIBRATION AND CONTROL, 2015, 21 (10) : 1958 - 1967
[43] Solving Two-Dimensional Nonlinear Fredholm Integral Equations Using Rationalized Haar Functions in the Complex Plane
Erfanian M.
Akrami A.
Parsamanesh M.
International Journal of Applied and Computational Mathematics, 2019, 5 (3)
[44] Galerkin and multi-Galerkin methods for weakly singular Volterra-Hammerstein integral equations and their convergence analysis
Kant, Kapil
Nelakanti, Gnaneshwar
COMPUTATIONAL & APPLIED MATHEMATICS, 2020, 39 (02):
[45] New algorithms for the numerical solution of nonlinear Fredholm and Volterra integral equations using Haar wavelets
Aziz, Imran
Siraj-ul-Islam
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2013, 239 : 333 - 345
[46] Numerical solution of nonlinear stochastic Ito-Volterra integral equations based on Haar wavelets
Wu, Jieheng
Jiang, Guo
Sang, Xiaoyan
ADVANCES IN DIFFERENCE EQUATIONS, 2019, 2019 (01)
[47] Solution for a classical problem in the calculus of variations via rationalized Haar functions
Razzaghi, M
Ordokhani, Y
KYBERNETIKA, 2001, 37 (05) : 575 - 583
[48] The series expansions and blow-up time estimation for the solutions of convolution Volterra-Hammerstein integral equations
Yuxuan Wang
Tongke Wang
Huan Lian
Numerical Algorithms, 2024, 95 : 637 - 663
[49] Error analysis of Jacobi-Galerkin method for solving weakly singular Volterra-Hammerstein integral equations
Kant, Kapil
Nelakanti, Gnaneshwar
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2020, 97 (12) : 2395 - 2420
[50] The series expansions and blow-up time estimation for the solutions of convolution Volterra-Hammerstein integral equations
Wang, Yuxuan
Wang, Tongke
Lian, Huan
NUMERICAL ALGORITHMS, 2024, 95 (02) : 637 - 663

← 1 2 3 4 5 →