A CHEBYSHEV-GAUSS SPECTRAL COLLOCATION METHOD FOR ODRINARY DIFFERENTIAL EQUATIONS

被引：4
|
作者：
Yang, Xi [1 ]
Wang, Zhongqing
机构：
[1] Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China
来源：
JOURNAL OF COMPUTATIONAL MATHEMATICS | 2015年 / 33卷 / 01期
关键词：
Initial value problems of ordinary differential equations; Chebyshev-Gauss spectral collocation method; Spectral accuracy; INITIAL-VALUE PROBLEMS; INTEGRATION PROCESSES; ELEMENT METHODS; TIME;
D O I：
10.4208/jcm.1405-m4368
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we introduce an efficient Chebyshev-Gauss spectral collocation method for initial value problems of ordinary differential equations. We first propose a single interval method and analyze its convergence. We then develop a multi-interval method. The suggested algorithms enjoy spectral accuracy and can be implemented in stable and efficient manners. Some numerical comparisons with some popular methods are given to demonstrate the effectiveness of this approach.
引用
收藏
页码：59 / 85
页数：27
相关论文
共 50 条
  • [21] A NOVEL CHEBYSHEV-COLLOCATION SPECTRAL METHOD FOR SOLVING THE TRANSPORT EQUATION
    Li, Zhonghui
    Chen, Xiangyong
    Qiu, Jianlong
    Xia, Tongshui
    JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION, 2021, 17 (05) : 2519 - 2526
  • [22] Legendre-Gauss collocation methods for nonlinear neutral delay differential equations
    Jingjun Zhao
    Yang Cao
    Yang Xu
    Advances in Difference Equations, 2015
  • [23] Legendre-Gauss collocation methods for nonlinear neutral delay differential equations
    Zhao, Jingjun
    Cao, Yang
    Xu, Yang
    ADVANCES IN DIFFERENCE EQUATIONS, 2015,
  • [24] Matrix computational collocation approach based on rational Chebyshev functions for nonlinear differential equations
    Abd El Salam, Mohamed A.
    Ramadan, Mohamed A.
    Nassar, Mahmoud A.
    Agarwal, Praveen
    Chu, Yu-Ming
    ADVANCES IN DIFFERENCE EQUATIONS, 2021, 2021 (01)
  • [25] Legendre-Gauss-Radau Collocation Method for Solving Initial Value Problems of First Order Ordinary Differential Equations
    Zhong-qing Wang
    Ben-yu Guo
    Journal of Scientific Computing, 2012, 52 : 226 - 255
  • [26] SHIFTED GEGENBAUER-GAUSS COLLOCATION METHOD FOR SOLVING FRACTIONAL NEUTRAL FUNCTIONAL-DIFFERENTIAL EQUATIONS WITH PROPORTIONAL DELAYS
    Hafez, R. M.
    Youssri, Y. H.
    KRAGUJEVAC JOURNAL OF MATHEMATICS, 2022, 46 (06): : 981 - 996
  • [27] Legendre-tau-Galerkin and spectral collocation method for nonlinear evolution equations
    Qin, Yonghui
    Ma, Heping
    APPLIED NUMERICAL MATHEMATICS, 2020, 153 : 52 - 65
  • [28] Multi-domain spectral collocation method for variable-order nonlinear fractional differential equations
    Zhao, Tinggang
    Mao, Zhiping
    Karniadakis, George Em
    COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2019, 348 : 377 - 395
  • [29] LEGENDRE-GAUSS-RADAU SPECTRAL COLLOCATION METHOD FOR NONLINEAR SECOND-ORDER INITIAL VALUE PROBLEMS WITH APPLICATIONS TO WAVE EQUATIONS
    Wang, Lina
    Tong, Qian
    Yi, Lijun
    Zhang, Mingzhu
    JOURNAL OF COMPUTATIONAL MATHEMATICS, 2024, 42 (01): : 217 - 247
  • [30] PETROV-GALERKIN AND SPECTRAL COLLOCATION METHODS FOR DISTRIBUTED ORDER DIFFERENTIAL EQUATIONS
    Kharazmi, Ehsan
    Zayernouri, Mohsen
    Karniadakis, George Em
    SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2017, 39 (03) : A1003 - A1037
12345