An Efficient Method for the Numerical Solution of the Nonlinear Hammerstein Fractional Integral Equations

被引：0

作者：

Ahmadabadi, M. Nili ^{[1
]}

Velayati, M. R. ^{[1
]}

机构：

[1] Islamic Azad Univ, Dept Math, Najafabad Branch, Najafabad, Iran

来源：

FILOMAT | 2021年 / 35卷 / 02期

关键词：

Nonlinear integral equations; Hammerstein equations; Picard iteration; Numerical method;

D O I：

10.2298/FIL2102419A

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we present a numerical method for solving nonlinear Hammerstein fractional integral equations. The method approximates the solution by Picard iteration together with a numerical integration designed for weakly singular integrals. Error analysis of the proposed method is also investigated. Numerical examples approve its efficiency in terms of accuracy and computational cost.

引用

页码：419 / 429

页数：11

共 50 条

[21] Numerical solution of Hammerstein equations via an interpolation method
Maleknejad, K
Karami, M
Aghazadeh, N
APPLIED MATHEMATICS AND COMPUTATION, 2005, 168 (01) : 141 - 145
[22] A numerical method for two-dimensional Hammerstein integral equations
Micula, Sanda
STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, 2021, 66 (02): : 267 - 277
[23] Bernoulli operational matrix method for the numerical solution of nonlinear two-dimensional Volterra–Fredholm integral equations of Hammerstein type
Sohrab Bazm
Alireza Hosseini
Computational and Applied Mathematics, 2020, 39
[24] SOLUTION OF NONLINEAR VOLTERRA-HAMMERSTEIN INTEGRAL EQUATIONS USING ALTERNATIVE LEGENDRE COLLOCATION METHOD
Bazm, Sohrab
SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS, 2016, 4 (01): : 57 - 77
[25] Numerical solution of nonlinear Volterra-Fredholm-Hammerstein integral equations via collocation method based on radial basis functions
Parand, K.
Rad, J. A.
APPLIED MATHEMATICS AND COMPUTATION, 2012, 218 (09) : 5292 - 5309
[26] An iterative method for solving nonlinear integral equations of Hammerstein type
Chidume, C. E.
Djitte, N.
APPLIED MATHEMATICS AND COMPUTATION, 2013, 219 (10) : 5613 - 5621
[27] Numerical solution of nonlinear Volterra-Fredholm-Hammerstein integral equations via Tau-collocation method with convergence analysis
Gouyandeh, Z.
Allahviranloo, T.
Armand, A.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2016, 308 : 435 - 446
[28] Numerical solution of Hammerstein integral equations of mixed type using the Sinc-collocation method
Hashemizadeh, E.
Rostami, M.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2015, 279 : 31 - 39
[29] The Numerical Solution of Nonlinear Fredholm-Hammerstein Integral Equations of the Second Kind Utilizing Chebyshev Wavelets
Shamooshaky, M. M.
Assari, P.
Adibi, H.
JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2014, 10 (04): : 235 - 246
[30] Convergence of approximate solution of nonlinear Fredholm-Hammerstein integral equations
Maleknejad, K.
Nouri, K.
Sahlan, M. Nosrati
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2010, 15 (06) : 1432 - 1443

← 1 2 3 4 5 →