Convergence of Homotopy Perturbation Method for Solving Integral Equations

被引:0
作者
Jafari, H. [1 ]
Alipour, M. [1 ]
Tajadodi, H. [1 ]
机构
[1] Univ Mazandaran, Fac Sci, Dept Math, Babol Sar, Iran
来源
THAI JOURNAL OF MATHEMATICS | 2010年 / 8卷 / 03期
关键词
Homotopy perturbation method; Fredholm integral equation; Volterra integral equation;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The aim of this paper is convergence study of homotopy perturbation method (HPM) for solving integral equations in general case. The homotopy perturbation method is a powerful device for solving a wide variety of problems. Using the homotopy perturbation method, it is possible to find the exact solution or an approximate solution of the problem. Some illustrative examples are presented.
引用
收藏
页码:511 / 520
页数:10
相关论文
共 50 条
  • [1] Convergence and error estimation of homotopy perturbation method for Fredholm and Volterra integral equations
    Hetmaniok, Edyta
    Slota, Damian
    Witula, Roman
    APPLIED MATHEMATICS AND COMPUTATION, 2012, 218 (21) : 10717 - 10725
  • [2] T-Stability Approach to the Homotopy Perturbation Method for Solving Fredholm Integral Equations
    Jafari, Hossein
    Alipour, Maryam
    Ghorbani, Maryam
    IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS, 2013, 8 (01): : 49 - 58
  • [3] Application of Homotopy perturbation method for fuzzy integral equations
    Matinfar, Mashallah
    Saeidy, Mohammad
    JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2010, 1 (04): : 377 - 385
  • [4] Modified homotopy perturbation method for solving hypersingular integral equations of the first kind
    Eshkuvatov, Z. K.
    Zulkarnain, F. S.
    Long, N. M. A. Nik
    Muminov, Z.
    SPRINGERPLUS, 2016, 5
  • [5] Homotopy Perturbation Method for Solving System of Generalized Abel's Integral Equations
    Kumar, Sunil
    Singh, Om P.
    Dixit, Sandeep
    APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL, 2011, 6 (01): : 268 - 283
  • [6] A numerical solution for solving system of Fredholm integral equations by using homotopy perturbation method
    Javidi, M.
    Golbabai, A.
    APPLIED MATHEMATICS AND COMPUTATION, 2007, 189 (02) : 1921 - 1928
  • [7] Convergence of the homotopy perturbation method for partial differential equations
    Biazar, J.
    Ghazvini, H.
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2009, 10 (05) : 2633 - 2640
  • [8] Homotopy Perturbation Method for Solving Partial Differential Equations
    Mohyud-Din, Syed Tauseef
    Noor, Muhammad Aslam
    ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2009, 64 (3-4): : 157 - 170
  • [9] Modified homotopy perturbation method for solving the Stokes equations
    Feng, Xinlong
    He, Yinnian
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 61 (08) : 2262 - 2266
  • [10] Dynamical strategy on homotopy perturbation method for solving second kind integral equations using the CESTAC method
    Noeiaghdam, Samad
    Araghi, Mohammad Ali Fariborzi
    Sidorov, Denis
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2022, 411