A family of Multistep Collocation Methods for Volterra Integro-Differential Equations

被引:0
|
作者
Cardone, A. [1 ]
Conte, D. [1 ]
Paternoster, B. [1 ]
机构
[1] Univ Salerno, Dipartimento Matemat & Informat, Salerno, Italy
来源
NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS 1 AND 2 | 2009年 / 1168卷
关键词
Numerical methods for Volterra Integro-Differential Equations; Multistep collocation methods; INTEGRO-DIFFERENTIAL EQUATIONS; STABILITY;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper we analyze a family of multistep collocation methods for Volterra Integro-Differential Equations, with the aim of increasing the order of classical one-step collocation methods without increasing the computational cost. We discuss the order of the constructed methods and present the stability analysis.
引用
收藏
页码:358 / 361
页数:4
相关论文
共 50 条
  • [11] Legendre Spectral Collocation Methods for Volterra Delay-Integro-Differential Equations
    Zhao, Jingjun
    Cao, Yang
    Xu, Yang
    JOURNAL OF SCIENTIFIC COMPUTING, 2016, 67 (03) : 1110 - 1133
  • [12] Boundary value methods for Volterra integral and integro-differential equations
    Chen, Hao
    Zhang, Chengjian
    APPLIED MATHEMATICS AND COMPUTATION, 2011, 218 (06) : 2619 - 2630
  • [13] General linear methods for Volterra integro-differential equations with memory
    Zhang, CJ
    Vandewalle, S
    SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2006, 27 (06) : 2010 - 2031
  • [14] Multistep collocation methods for Volterra Integral Equations
    Conte, D.
    Paternoster, B.
    APPLIED NUMERICAL MATHEMATICS, 2009, 59 (08) : 1721 - 1736
  • [15] Galerkin and Collocation Methods for Weakly Singular Fractional Integro-differential Equations
    Sharma, Shiva
    Pandey, Rajesh K.
    Kumar, Kamlesh
    IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, 2019, 43 (A4): : 1649 - 1656
  • [16] The stability of collocation methods for approximate solution of singular integro-differential equations
    Katholieke University Leuven, Department of Computer Science, Celestijnenlaan 200A, B-3001 Leuven, Heverlee, Belgium
    不详
    WSEAS Transactions on Mathematics, 2008, 7 (04) : 121 - 129
  • [17] Collocation methods for fractional integro-differential equations with weakly singular kernels
    Zhao, Jingjun
    Xiao, Jingyu
    Ford, Neville J.
    NUMERICAL ALGORITHMS, 2014, 65 (04) : 723 - 743
  • [18] The stability of collocation methods for approximate solution of singular integro-differential equations
    Caraus, Iurie
    Mastorakis, Nikos E.
    PROCEEDINGS OF THE 3RD WSEAS INTERNATIONAL CONFERENCE ON APPLIED AND THEORETICAL MECHANICS (MECHANICS '07): TOPICS IN ADVANCED THEORETICAL AND APPLIED MECHANICS, 2007, : 73 - +
  • [19] Galerkin and Collocation Methods for Weakly Singular Fractional Integro-differential Equations
    Shiva Sharma
    Rajesh K. Pandey
    Kamlesh Kumar
    Iranian Journal of Science and Technology, Transactions A: Science, 2019, 43 : 1649 - 1656
  • [20] Efficient general linear methods for a class of Volterra integro-differential equations
    Mahdi, H.
    Abdi, A.
    Hojjati, G.
    APPLIED NUMERICAL MATHEMATICS, 2018, 127 : 95 - 109