Some Powerful Techniques for Solving Nonlinear Volterra-Fredholm Integral Equations

被引：2

作者：

Hamoud, Ahmed A. ^{[1
]}

Mohammed, Nedal M. ^{[2
]}

Ghadle, Kirtiwant P. ^{[3
]}

机构：

[1] Taiz Univ, Dept Math, Taizi 380015, Yemen

[2] Taiz Univ, Dept Comp Sci, Taizi 380015, Yemen

[3] Dr Babasaheb Ambedkar Marathwada Univ, Dept Math, Aurangabad, Maharashtra, India

来源：

JOURNAL OF APPLIED NONLINEAR DYNAMICS | 2021年 / 10卷 / 03期

关键词：

Nonlinear integral equations; Adomian decomposition method; Variational iteration method; Homotopy analysis; FRACTIONAL VOLTERRA; NUMERICAL-SOLUTION; KIND;

D O I：

10.5890/JAND.2021.09.007

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The main object of the present paper is to study the behavior of the approximated solutions of the nonlinear mixed Volterra-Fredholm integral equations by using Adomian Decomposition Method (ADM), Modified Adomian Decomposition Method (MADM), Variational Iteration Method (VIM) and Homotopy Analysis Method (HAM). Moreover, we discuss some new uniqueness results. Finally, some examples are included to demonstrate the validity and applicability of the proposed techniques. (C) 2021 L&H Scientific Publishing, LLC. All rights reserved.

引用

页码：461 / 469

页数：9

共 20 条

[1]

Bani Issa M, 2020, TECHNOLOGY REPORTS K, V62, P388

[2]

Bazrafshan F., 2011, J KING SAUD UNIV SCI, V23, P111, DOI DOI 10.1016/j.jksus.2010.06.017

[3]

Behzadi Sh, 2014, INT J IND MATH, V6, P315

[4]

Bhrawy A. H., 2016, COMPUT MATH APPL, DOI [10.1016/j.camwa.2016.04.011, DOI 10.1016/J.CAMWA.2016.04.011]

[5] ON THE NUMERICAL-SOLUTION OF NONLINEAR VOLTERRA-FREDHOLM INTEGRAL-EQUATIONS BY COLLOCATION METHODS [J].

BRUNNER, H .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 1990, 27 (04) :987-1000

[6] A meshless approximate solution of mixed Volterra-Fredholm integral equations [J].

Dastjerdi, H. Laeli ;

Ghaini, F. M. Maalek ;

Hadizadeh, M. .

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2013, 90 (03) :527-538

[7] Laplace discrete decomposition method for solving nonlinear Volterra-Fredholm integro-differential equations [J].

Dawood, Lafta A. ;

Hamoud, Ahmed A. ;

Mohammed, Nedal M. .

JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2020, 21 (02) :158-163

[8] A modified homotopy perturbation method for solving the nonlinear mixed Volterra-Fredholm integral equation [J].

Dong, Chunhuan ;

Chen, Zhong ;

Jiang, Wei .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2013, 239 :359-366

[9] Numerical solution of two-dimensional nonlinear differential equation by homotopy perturbation method [J].

Ghasemi, M. ;

Kajani, M. Tavassoli ;

Davari, A. .

APPLIED MATHEMATICS AND COMPUTATION, 2007, 189 (01) :341-345

[10] THE APPROXIMATE SOLUTIONS OF FRACTIONAL VOLTERRA - FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS BY USING ANALYTICAL TECHNIQUES [J].

Hamoud, A. A. ;

Ghadle, K. P. .

PROBLEMY ANALIZA-ISSUES OF ANALYSIS, 2018, 7 (01) :41-58

← 1 2 →