Dissipativity of linear θ-methods for integro-differential equations

被引：20
|
作者：
Gan, Siqing [1 ]
机构：
[1] Cent S Univ, Sch Math Sci & Comp Technol, Changsha 410075, Hunan, Peoples R China
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2006年 / 52卷 / 3-4期
基金：
中国国家自然科学基金;
关键词：
dissipativity; integro-differential equation; theta-method; A-stability;
D O I：
10.1016/j.camwa.2006.02.010
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with the analytic and numerical dissipativity of nonlinear integro-differential equations (IDEs). A dissipativity criteria for IDEs is given. It is shown that any A-stable linear theta-method for the systems is dissipative. Numerical examples are given to confirm the theoretical results. (c) 2006 Elsevier Ltd. All rights reserved.
引用
收藏
页码：449 / 458
页数：10
相关论文
共 50 条
  • [21] Integro-Differential Equations of Fractional Order
    Abbas, Said
    Benchohra, Mouffak
    Graef, John R.
    DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS, 2012, 20 (02) : 139 - 148
  • [22] Exponential spline for the numerical solutions of linear Fredholm integro-differential equations
    Taherh Tahernezhad
    Reza Jalilian
    Advances in Difference Equations, 2020
  • [23] Integro-Differential Equations of Fractional Order
    Saïd Abbas
    Mouffak Benchohra
    John R. Graef
    Differential Equations and Dynamical Systems, 2012, 20 (2) : 139 - 148
  • [24] A Problem with Parameter for the Integro-Differential Equations
    Bakirova, Elmira A.
    Assanova, Anar T.
    Kadirbayeva, Zhazira M.
    MATHEMATICAL MODELLING AND ANALYSIS, 2021, 26 (01) : 34 - 54
  • [25] Sumudu Lagrange-spectral methods for solving system of linear and nonlinear Volterra integro-differential equations
    Adewumi, Adebayo Olusegun
    Akindeinde, Saheed Ojo
    Lebelo, Ramoshweu Solomon
    APPLIED NUMERICAL MATHEMATICS, 2021, 169 (169) : 146 - 163
  • [26] Continuous Galerkin finite element methods for hyperbolic integro-differential equations
    Saedpanah, Fardin
    IMA JOURNAL OF NUMERICAL ANALYSIS, 2015, 35 (02) : 885 - 908
  • [27] Shifted Jacobi spectral collocation method with convergence analysis for solving integro-differential equations and system of integro-differential equations
    Doha, Eid H.
    Abdelkawy, Mohamed A.
    Amin, Ahmed Z. M.
    Baleanu, Dumitru
    NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2019, 24 (03): : 332 - 352
  • [28] On the Operator Method for Solving Linear Integro-Differential Equations with Fractional Conformable Derivatives
    Turmetov, Batirkhan Kh.
    Usmanov, Kairat I.
    Nazarova, Kulzina Zh.
    FRACTAL AND FRACTIONAL, 2021, 5 (03)
  • [29] Radial basis function networks in the numerical solution of linear integro-differential equations
    Golbabai, A.
    Seifollahi, S.
    APPLIED MATHEMATICS AND COMPUTATION, 2007, 188 (01) : 427 - 432
  • [30] Feedback Volterra control of integro-differential equations
    Pepe, G.
    Paifelman, E.
    Carcaterra, A.
    INTERNATIONAL JOURNAL OF CONTROL, 2023, 96 (11) : 2651 - 2670
12345