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
  • [41] Local convergence of an at least sixth-order method in Banach spaces
    I. K. Argyros
    S. K. Khattri
    S. George
    Journal of Fixed Point Theory and Applications, 2019, 21
  • [42] An optimal compact sixth-order finite difference scheme for the Helmholtz equation
    Wu, Tingting
    Xu, Ruimin
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2018, 75 (07) : 2520 - 2537
  • [43] Quintic spline solution of linear sixth-order boundary value problems
    Siddiqi, Shahid S.
    Akram, Ghazala
    Nazeer, Saima
    APPLIED MATHEMATICS AND COMPUTATION, 2007, 189 (01) : 887 - 892
  • [44] Optimal control of the sixth-order convective Cahn-Hilliard equation
    Zhao, Xiufang
    Duan, Ning
    BOUNDARY VALUE PROBLEMS, 2014, : 1 - 17
  • [45] Local convergence of an at least sixth-order method in Banach spaces
    Argyros, I. K.
    Khattri, S. K.
    George, S.
    JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2019, 21 (01)
  • [46] Semilocal convergence of a sixth-order Jarratt method in Banach spaces
    Xiuhua Wang
    Jisheng Kou
    Chuanqing Gu
    Numerical Algorithms, 2011, 57 : 441 - 456
  • [47] A sequence of positive solutions for sixth-order ordinary nonlinear differential problems
    Bonanno, Gabriele
    Livrea, Roberto
    ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2021, (20)
  • [48] New variants of Jarratt's method with sixth-order convergence
    Ren, Hongmin
    Wu, Qingbiao
    Bi, Weihong
    NUMERICAL ALGORITHMS, 2009, 52 (04) : 585 - 603
  • [49] Semilocal convergence of a sixth-order Jarratt method in Banach spaces
    Wang, Xiuhua
    Kou, Jisheng
    Gu, Chuanqing
    NUMERICAL ALGORITHMS, 2011, 57 (04) : 441 - 456
  • [50] A sixth order optimal B-spline collocation method for solving Bratu's problem
    Roul, Pradip
    Goura, V. M. K. Prasad
    JOURNAL OF MATHEMATICAL CHEMISTRY, 2020, 58 (05) : 967 - 988