A sixth-order optimal collocation method for elliptic problems

被引:0
|
作者
Bum Il Hong [1 ]
Sung Nam Ha [1 ]
Nahmwoo Hahm [1 ]
机构
[1] Kyung Hee University,Department of Mathematics and Institute of Natural Sciences
关键词
65N35; 65N05; collocation methods; elliptic partial differential equations;
D O I
10.1007/BF03014384
中图分类号
学科分类号
摘要
In this paper, we present a collocation method based on biquintic splines for a fourth order elliptic problems. To have a better accuracy, we formulate the standard collocation method by an appropriate perturbation on the original differential equations that leads to an optimal approximating scheme. As a result, computational results confirm that this method is optimal.
引用
收藏
页码:411 / 420
页数:9
相关论文
共 50 条
  • [31] A variant of Chebyshev’s method with sixth-order convergence
    Jisheng Kou
    Yitian Li
    Numerical Algorithms, 2006, 43 : 273 - 278
  • [32] Septic spline solutions of sixth-order boundary value problems
    Siddiqi, Shahid S.
    Akram, Ghazala
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2008, 215 (01) : 288 - 301
  • [33] 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
  • [34] 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
  • [35] A Sixth-Order Numerical Method Based on Shishkin Mesh for Singularly Perturbed Boundary Value Problems
    Kiran Thula
    Iranian Journal of Science and Technology, Transactions A: Science, 2022, 46 : 161 - 171
  • [36] A Sixth-Order Numerical Method Based on Shishkin Mesh for Singularly Perturbed Boundary Value Problems
    Thula, Kiran
    IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, 2022, 46 (01): : 161 - 171
  • [37] Optimal control of the sixth-order convective Cahn-Hilliard equation
    Xiufang Zhao
    Ning Duan
    Boundary Value Problems, 2014
  • [38] On a sixth-order Jarratt-type method in Banach spaces
    Argyros, Ioannis K.
    George, Santhosh
    ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2015, 8 (04)
  • [39] New variants of Jarratt’s method with sixth-order convergence
    Hongmin Ren
    Qingbiao Wu
    Weihong Bi
    Numerical Algorithms, 2009, 52 : 585 - 603
  • [40] Spline solutions of linear sixth-order boundary-value problems
    Siddiqi, SS
    Twizell, EH
    INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 1996, 60 (3-4) : 295 - 304