A numerical method for the wave equation subject to a non-local conservation condition

被引:36
|
作者
Ang, WT [1 ]
机构
[1] Nanyang Technol Univ, Sch Mech & Aerosp Engn, Div Engn Mech, Singapore 639798, Singapore
关键词
waev equation; non-local condition; integro-differential formulation; local interpolating functions; numerical solution;
D O I
10.1016/j.apnum.2005.09.006
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A numerical method based on an integro-differential equation and local interpolating functions is proposed for solving the one-dimensional wave equation subject to a non-local conservation condition and suitably prescribed initial-boundary conditions. To assess its validity and accuracy, the method is applied to solve several test problems. (c) 2005 IMACS. Published by Elsevier B.V. All rights reserved.
引用
收藏
页码:1054 / 1060
页数:7
相关论文
共 50 条
  • [21] Numerical method for restoring the initial condition for the wave equation
    Gamzaev, Khanlar M.
    [J]. VESTNIK TOMSKOGO GOSUDARSTVENNOGO UNIVERSITETA-MATEMATIKA I MEKHANIKA-TOMSK STATE UNIVERSITY JOURNAL OF MATHEMATICS AND MECHANICS, 2024, (88): : 5 - 13
  • [22] Existence and non-existence of global solutions of a non-local wave equation
    Ackleh, AS
    Deng, K
    [J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2004, 27 (15) : 1747 - 1754
  • [23] The method of approximate particular solutions for the time-fractional diffusion equation with a non-local boundary condition
    Yan, Liang
    Yang, Fenglian
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2015, 70 (03) : 254 - 264
  • [24] A non-linear and non-local boundary condition for a diffusion equation in petroleum engineering
    Giroire, J
    Ha-Duong, T
    Moumas, V
    [J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2005, 28 (13) : 1527 - 1552
  • [25] Numerical solution of a non-local fractional convection-diffusion equation
    Osorio, F. C.
    Amador, P. A.
    Bedoya, C. A.
    [J]. ENTRE CIENCIA E INGENIERIA, 2024, 18 (35): : 25 - 31
  • [26] Impulsive Fractional Dynamic Equation with Non-local Initial Condition on Time Scales
    Gogoi, Bikash
    Saha, Utpal Kumar
    Hazarika, Bipan
    [J]. BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2024, 42
  • [27] Output Feedback Stabilization of Non-local Wave Equation with Time Delay
    Than, Aye Aye
    Wang, Jun-Min
    Guo, Ya-Ping
    [J]. PROCEEDINGS OF THE 38TH CHINESE CONTROL CONFERENCE (CCC), 2019, : 1051 - 1056
  • [28] THE POISSON EQUATION FROM NON-LOCAL TO LOCAL
    Biccari, Umberto
    Hernandez-Santamaria, Victor
    [J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2018,
  • [29] Energy dissipation for hereditary and energy conservation for non-local fractional wave equations
    Zorica, Dusan
    Oparnica, Ljubica
    [J]. PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2020, 378 (2172):
  • [30] Computing ship wave resistance from wave amplitude with a non-local absorbing boundary condition
    Storti, M
    D'Elia, J
    Idelsohn, S
    [J]. COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING, 1998, 14 (11): : 997 - 1012