Variational iteration method for solving sixth-order boundary value problems

被引：31
|
作者：
Noor, Muhammad Aslam [1 ]
Noor, Khalida Inayat [1 ]
Mohyud-Din, Syed Tauseef [1 ]
机构：
[1] Inst Informat Technol, COMSATS, Dept Math, Islamabad 44000, Pakistan
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2009年 / 14卷 / 06期
关键词：
Variational iteration; Nonlinear problems; Boundary value problems; Integral equations; NUMERICAL-METHODS; CONVECTION ZONE;
D O I：
10.1016/j.cnsns.2008.10.013
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we have shown that sixth-order boundary value problems can be transformed into a system of integral equations, which can be solved by using variational iteration method. The analytical results of the equations have been obtained in terms of convergent series with easily computable components. Several examples are given to illustrate the efficiency and implementation of the method. It is observed that the proposed technique is more useful and is easier to implement because one does not need to calculate the Adomian's polynomials which is itself a difficult task. (C) 2008 Elsevier B.V. All rights reserved.
引用
收藏
页码：2571 / 2580
页数：10
相关论文
共 50 条
  • [1] Variational approach to the sixth-order boundary value problems
    He, JH
    APPLIED MATHEMATICS AND COMPUTATION, 2003, 143 (2-3) : 537 - 538
  • [2] Homotopy perturbation method for solving sixth-order boundary value problems
    Noor, Muhammad Aslam
    Mohyud-Din, Syed Tauseef
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2008, 55 (12) : 2953 - 2972
  • [3] VARIATION OF PARAMETERS METHOD FOR SOLVING SIXTH-ORDER BOUNDARY VALUE PROBLEMS
    Mohyud-Din, Syed Tauseef
    Noor, Muhammad Aslam
    Waheed, Asif
    COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2009, 24 (04): : 605 - 615
  • [4] A simple efficient method for solving sixth-order nonlinear boundary value problems
    Dang Quang A
    Dang Quang Long
    COMPUTATIONAL & APPLIED MATHEMATICS, 2018, 37 : 16 - 26
  • [5] A simple efficient method for solving sixth-order nonlinear boundary value problems
    Dang Quang A
    Dang Quang Long
    Computational and Applied Mathematics, 2018, 37 : 16 - 26
  • [6] Spline collocation method for solving linear sixth-order boundary-value problems
    Lamnii, Abdelleh
    Mraoui, Hamid
    Sbibih, Driss
    Tijini, Ahmed
    Zidna, Ahmed
    INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2008, 85 (11) : 1673 - 1684
  • [7] Variational Iteration Method for Solving Eighth-Order Boundary Value Problems
    Torvattanabun, M.
    Koonprasert, S.
    THAI JOURNAL OF MATHEMATICS, 2010, 8 (04): : 121 - 129
  • [8] DIFFERENTIAL TRANSFORMATION METHOD FOR SOLVING SIXTH-ORDER BOUNDARY VALUE PROBLEMS OF ORDINARY DIFFERENTIAL EQUATIONS
    Hussin, Che Haziqah Che
    Mandangan, Arif
    Kilicman, Adem
    Daud, Muhamad Azlan
    Juhan, Nurliyana
    JURNAL TEKNOLOGI, 2016, 78 (6-4): : 13 - 19
  • [9] Sinc-Galerkin method for solving linear sixth-order boundary-value problems
    El-Gamel, M
    Cannon, JR
    Zayed, AI
    MATHEMATICS OF COMPUTATION, 2004, 73 (247) : 1325 - 1343
  • [10] Modified variational iteration method for solving fourth-order boundary value problems
    Noor M.A.
    Mohyud-Din S.T.
    Journal of Applied Mathematics and Computing, 2009, 29 (1-2) : 81 - 94
12345