Variational approach to the sixth-order boundary value problems

被引:37
|
作者
He, JH [1 ]
机构
[1] Chinese Acad Sci, Inst Mech, LNM, Beijing 100080, Peoples R China
[2] Shanghai DOnghua Univ, Coll Sci, Shanghai 200051, Peoples R China
[3] Shanghai Univ, Shanghai Inst Appl Math & Mech, Shanghai 200072, Peoples R China
关键词
boundary value problem; variational principle; Ritz method;
D O I
10.1016/S0096-3003(02)00381-8
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Recently, Wazwaz [Appl. Math. Comput. 118 (2001) 311-325] applied the Adomian's decomposition method to solve analytically the solution of sixth-order boundary value problems. The same problem is discussed via the variational principle, which reveals to be much more simpler and much more efficient. (C) 2002 Elsevier Science Inc. All rights reserved.
引用
收藏
页码:537 / 538
页数:2
相关论文
共 50 条
  • [31] A Sixth-Order Theory of Shear Deformable Beams With Variational Consistent Boundary Conditions
    Shi, Guangyu
    Voyiadjis, George Z.
    JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 2011, 78 (02):
  • [32] Positive solutions for a sixth-order boundary value problem with four parameters
    Agarwal, Ravi P.
    Kovacs, B.
    O'Regan, D.
    BOUNDARY VALUE PROBLEMS, 2013,
  • [33] Positive solutions for a sixth-order boundary value problem with four parameters
    Ravi P Agarwal
    B Kovacs
    D O’Regan
    Boundary Value Problems, 2013
  • [34] Numerical solution of sixth-order boundary-value problems using Legendre wavelet collocation method
    Sohaib, Muhammad
    Haq, Sirajul
    Mukhtar, Safyan
    Khan, Imad
    RESULTS IN PHYSICS, 2018, 8 : 1204 - 1208
  • [35] A sixth-order wavelet integral collocation method for solving nonlinear boundary value problems in three dimensions
    Hou, Zhichun
    Weng, Jiong
    Liu, Xiaojing
    Zhou, Youhe
    Wang, Jizeng
    ACTA MECHANICA SINICA, 2022, 38 (02)
  • [36] Convergence analysis of nonic-spline solutions for special nonlinear sixth-order boundary value problems
    Jalilian, R.
    Rashidinia, J.
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2010, 15 (12) : 3805 - 3813
  • [37] A sixth order kernel functions approach for nonlinear fourth order boundary value problems
    Geng, F. Z.
    Li, C. N.
    Wu, X. Y.
    JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2024, 70 (06) : 5979 - 5992
  • [38] A Sixth-Order Cubic B-Spline Approach for Solving Linear Boundary Value Problems: An In-Depth Analysis and Comparative Study
    Lodhi, Ram Kishun
    Darweesh, Moustafa S.
    Aydi, Abdelkarim
    Kolsi, Lioua
    Sharma, Anil
    Ramesh, Katta
    MATHEMATICS, 2024, 12 (20)
  • [39] NODAL SOLUTIONS FOR SIXTH-ORDER M-POINT BOUNDARY-VALUE PROBLEMS USING BIFURCATION METHODS
    Ji, Yude
    Guo, Yanping
    Yao, Yukun
    Feng, Yingjie
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2012,
  • [40] Boundary Operators Associated With the Sixth-Order GJMS Operator
    Case, Jeffrey S.
    Luo, Weiyu
    INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2021, 2021 (14) : 10600 - 10653