THE BARYCENTRIC RATIONAL INTERPOLATION COLLOCATION METHOD FOR BOUNDARY VALUE PROBLEMS

被引:5
|
作者
Tian, Dan [1 ]
He, Ji-Huan [1 ]
机构
[1] Soochow Univ, Coll Text & Clothing Engn, Natl Engn Lab Modern Silk, Suzhou, Peoples R China
来源
THERMAL SCIENCE | 2018年 / 22卷 / 04期
基金
中国国家自然科学基金;
关键词
barycentric rational interpolation; interpolation nodes higher-order boundary value problems; DECOMPOSITION METHOD; EQUATIONS;
D O I
10.2298/TSCI1804773T
中图分类号
O414.1 [热力学];
学科分类号
摘要
Higher-order boundary value problems have been widely studied in thermal science, though there are some analytical methods available for such problems, the barycentric rational interpolation collocation method is proved in this paper to be the most effective as shown in three examples.
引用
收藏
页码:1773 / 1779
页数:7
相关论文
共 50 条
  • [1] Numerical Solution for Third-Order Two-Point Boundary Value Problems with the Barycentric Rational Interpolation Collocation Method
    Ge, Qian
    Zhang, Xiaoping
    JOURNAL OF MATHEMATICS, 2021, 2021
  • [2] Barycentric Rational Interpolation Iteration Collocation Method for Solving Nonlinear Vibration Problems
    Jiang, Jian
    Wang, Zhao-Qing
    Wang, Jian-Hua
    Tang, Bing-Tao
    JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS, 2016, 11 (02):
  • [3] Plane elasticity problems by barycentric rational interpolation collocation method and a regular domain method
    Zhuang, Meiling
    Miao, Changqing
    Ji, Siyuan
    INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2020, 121 (18) : 4134 - 4156
  • [4] Barycentric rational interpolation collocation method for solving dynamic problems of Euler-Bernoulli beams
    Wang, Zhao-Qing
    Ma, Yan
    Tang, Bing-Tao
    Zhendong yu Chongji/Journal of Vibration and Shock, 2013, 32 (22): : 41 - 46
  • [6] Barycentric rational collocation method for semi-infinite domain problems
    Li, Jin
    AIMS MATHEMATICS, 2023, 8 (04): : 8756 - 8771
  • [7] Linear barycentric rational collocation method to solve plane elasticity problems
    Li, Jin
    MATHEMATICAL BIOSCIENCES AND ENGINEERING, 2023, 20 (05) : 8337 - 8357
  • [8] Barycentric Rational Collocation Method for Burgers' Equation
    Zhao, Qingli
    Wang, Ruiwen
    Wang, Zhaoqing
    Zhang, Xiaoping
    JOURNAL OF MATHEMATICS, 2022, 2022
  • [9] RATIONAL COLLOCATION FOR LINEAR BOUNDARY-VALUE-PROBLEMS
    PEREZACOSTA, F
    CASASUS, L
    HAYEK, N
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1990, 33 (03) : 297 - 305
  • [10] Barycentric Method for Boundary Value Problems of Mathematical Physics
    A. S. Ilyinskii
    I. S. Polyanskii
    Differential Equations, 2022, 58 : 834 - 846