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] MODIFIED HOMOTOPY PERTURBATION METHOD FOR SOLVING INTEGRAL EQUATIONS
    Saberi-Nadjafi, Jafar
    Tamamgar, Mohamadreza
    INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2010, 24 (24): : 4741 - 4746
  • [2] Modified homotopy perturbation method for solving Fredholm integral equations
    Golbabai, A.
    Keramati, B.
    CHAOS SOLITONS & FRACTALS, 2008, 37 (05) : 1528 - 1537
  • [3] Convergence of Homotopy Perturbation Method for Solving of Two-Dimensional Fuzzy Volterra Functional Integral Equations
    Georgieva, Atanaska
    Alidema, Artan
    ADVANCED COMPUTING IN INDUSTRIAL MATHEMATICS (BGSIAM 2017), 2019, 793 : 129 - 145
  • [4] Modified Homotopy Perturbation Method for Solving the System of Volterra Integral Equations
    Saberi-Nadjafi, Jafar
    Tamamgar, Mohamadreza
    INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2008, 9 (04) : 409 - 413
  • [5] 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
  • [6] Modified Homotopy Perturbation Method for Solving Hypersingular Integral Equations of the Second Kind
    Zulkarnain, F. S.
    Eshkuvatov, Z. K.
    Long, N. M. A. Nik
    Ismail, F.
    INNOVATIONS THROUGH MATHEMATICAL AND STATISTICAL RESEARCH: PROCEEDINGS OF THE 2ND INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCES AND STATISTICS (ICMSS2016), 2016, 1739
  • [7] 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
  • [8] 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
  • [9] Modified homotopy perturbation method for solving system of linear Fredholm integral equations
    Javidi, M.
    MATHEMATICAL AND COMPUTER MODELLING, 2009, 50 (1-2) : 159 - 165
  • [10] Modified homotopy perturbation method for solving non-linear Fredholm integral equations
    Javidi, M.
    Golbabai, A.
    CHAOS SOLITONS & FRACTALS, 2009, 40 (03) : 1408 - 1412
12345