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

[21] APPLICATION OF AN EFFECTIVE METHOD ON THE SYSTEM OF NONLINEAR FUZZY INTEGRO-DIFFERENTIAL EQUATIONS
Iqbal, Angbeen
Ahmad, Jamshad
San, Qazi Mahmood Ul Has
JOURNAL OF SCIENCE AND ARTS, 2021, (02) : 407 - 422
[22] Modified Homotopy Perturbation Method for Solving Linear Second-Order Fredholm Integro-Differential Equations
Elbeleze, Asma Ali
Kilicman, Adem
Taib, Bachok M.
FILOMAT, 2016, 30 (07) : 1823 - 1831
[23] Haar wavelet method for nonlinear integro-differential equations
Lepik, Ü
APPLIED MATHEMATICS AND COMPUTATION, 2006, 176 (01) : 324 - 333
[24] Decomposition method for solving nonlinear integro-differential equations
Al-Khaled K.
Allan F.
Journal of Applied Mathematics and Computing, 2005, 19 (1-2) : 415 - 425
[25] Exact solutions of some coupled nonlinear partial differential equations using the homotopy perturbation method
Sweilam, N. H.
Khader, M. M.
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2009, 58 (11-12) : 2134 - 2141
[26] 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
[27] APPLICATION OF HOMOTOPY ANALYSIS METHOD FOR SOLVING A CLASS OF NONLINEAR VOLTERRA-FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS
Behzadi, Sh. S.
Abbasbandy, S.
Allahviranloo, T.
Yildirim, A.
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2012, 2 (02): : 127 - 136
[28] 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
[29] Analysis of Fractional Nonlinear Differential Equations Using the Homotopy Perturbation Method
Balci, Mehmet Ali
Yildirim, Ahmet
ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2011, 66 (1-2): : 87 - 92
[30] Homotopy Perturbation Method for Solving Nonlinear Differential-Difference Equations
Mousa, Mohamed M.
Kaltayev, Aidarkhan
ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2010, 65 (6-7): : 511 - 517

← 1 2 3 4 5 →