A new homotopy perturbation method for system of nonlinear integro-differential equations

被引：4

作者：

Aminikhah, Hossein ^{[2
]}

Salahi, Maziar ^{[1
]}

机构：

[1] Univ Guilan, Fac Sci, Dept Math, Rasht 41938, Iran

[2] Shahrood Univ Technol, Sch Math Sci, Dept Math, Shahrood 3619995161, Iran

来源：

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 2010年 / 87卷 / 05期

关键词：

nonlinear system; integro-differential equations; homotopy perturbation method; variational iteration method; Taylor series; PARTIAL-DIFFERENTIAL-EQUATION; BOUNDARY-VALUE-PROBLEMS; ORDER; FLOW;

D O I：

10.1080/00207160903243155

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a new homotopy perturbation method (NHPM) is introduced to obtain exact solutions of system of nonlinear integro-differential equations. Theoretical considerations are discussed. Two examples are given to demonstrate the efficiency of NHPM to the classical HPM and variational iteration methods.

引用

页码：1186 / 1194

页数：9

共 50 条

[41] Numerical solution of nonlinear Volterra-Fredholm integro-differential equations using Homotopy Analysis Method
Fariborzi Araghi M.A.
Behzadi S.S.
Journal of Applied Mathematics and Computing, 2011, 37 (1-2) : 1 - 12
[42] Variation of Parameters Method for Solving System of Nonlinear Volterra Integro-Differential Equations
Noor, Muhammad Aslam
Noor, Khalida Inayat
Waheed, Asif
Al-Said, Eisa
ADVANCES IN APPLIED MATHEMATICS AND MECHANICS, 2012, 4 (02) : 190 - 204
[43] CLASS OF NONLINEAR INTEGRO-DIFFERENTIAL EQUATIONS
LEUNG, KV
MANGERON, D
OGUZTORE.MN
STEIN, RB
ATTI DELLA ACCADEMIA NAZIONALE DEI LINCEI RENDICONTI-CLASSE DI SCIENZE FISICHE-MATEMATICHE & NATURALI, 1973, 54 (05): : 699 - 705
[44] Solving Nonlinear Integro-Differential Equations Using the Combined Homotopy Analysis Transform Method With Adomian Polynomials
Khanlari, Nahid
Paripour, Mahmoud
COMMUNICATIONS IN MATHEMATICS AND APPLICATIONS, 2018, 9 (04): : 637 - 650
[45] On a Class of Nonlinear Integro-Differential Equations
Khachatryan K.A.
Petrosyan H.S.
Siberian Advances in Mathematics, 2022, 32 (4) : 250 - 268
[46] Homotopy analysis method for higher-order fractional integro-differential equations
Zhang, Xindong
Tang, Bo
He, Yinnian
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 62 (08) : 3194 - 3203
[47] ON CONVERGENCE OF HOMOTOPY ANALYSIS METHOD AND ITS APPLICATION TO FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS
Abbasbandy, S.
Hashemi, M. S.
Hashim, I.
QUAESTIONES MATHEMATICAE, 2013, 36 (01) : 93 - 105
[48] Application of He's Homotopy Perturbation Method to Volterra's Integro-differential Equation
El-Shahed, M
INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2005, 6 (02) : 163 - 168
[49] Application of Homotopy Analysis Method to Solve Fuzzy Volterra Integro-Differential Equations
Araghi, Mohammad Ali Fariborzi
Fallahzadeh, Amir
JOURNAL OF ADVANCED MATHEMATICS AND APPLICATIONS, 2016, 5 (01) : 37 - 43
[50] A Friendly Iterative Technique for Solving Nonlinear Integro-Differential and Systems of Nonlinear Integro-Differential Equations
Hemeda, A. A.
INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS, 2018, 15 (03)

← 1 2 3 4 5 →