user

A boundary integral equation method for the two-dimensional diffusion equation subject to a non-local condition

被引：10
|
作者：
Ang, WT [1 ]
机构：
[1] Univ Malaysia Sarawak, Fac Informat Technol, Computat & Math Sci Grp, Kota Samarahan 94300, Malaysia
来源：
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS | 2001年 / 25卷 / 01期
关键词：
boundary element method; diffusion equation; Laplace transform; non-local condition;
D O I：
10.1016/S0955-7997(00)00068-0
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
A boundary integral equation method is proposed for the numerical solution of the two-dimensional diffusion equation subject to a nonlocal condition. The non-local condition is in the form of a double integral giving the specification of mass in a region which is a subset of the solution domain. A specific test problem is solved using the method. (C) 2001 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码：1 / 6
页数：6
相关论文
共 50 条
  • [31] INTEGRAL EQUATION METHOD FOR BOUNDARY VALUE PROBLEMS IN MULTIPLY CONNECTED DOMAINS FOR THE TWO-DIMENSIONAL LAPLACE EQUATION
    Sybil, Yu. M.
    [J]. JOURNAL OF NUMERICAL AND APPLIED MATHEMATICS, 2021, 3 (137): : 131 - 140
  • [32] Alternating direction method for a two-dimensional parabolic equation with a nonlocal boundary condition
    Sapagovas, M.
    Kairyte, G.
    Stikoniene, O.
    Stikonas, A.
    [J]. MATHEMATICAL MODELLING AND ANALYSIS, 2007, 12 (01) : 131 - 142
  • [33] Meshless local integral equation method for two-dimensional nonlocal elastodynamic problems
    Huang, X. J.
    Wen, P. H.
    [J]. NUMISHEET 2016: 10TH INTERNATIONAL CONFERENCE AND WORKSHOP ON NUMERICAL SIMULATION OF 3D SHEET METAL FORMING PROCESSES, PTS A AND B, 2016, 734
  • [34] FOURIER METHOD FOR THE INVERSE COEFFICIENT OF THE PSEUDO-PARABOLIC EQUATION WITH NON-LOCAL BOUNDARY CONDITION
    Baglan, I
    [J]. TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, 2020, 10 (04): : 857 - 865
  • [35] BLOW-UP FOR A NON-LOCAL DIFFUSION EQUATION WITH EXPONENTIAL REACTION TERM AND NEUMANN BOUNDARY CONDITION
    Zhou, Shouming
    Mu, Chunlai
    Mi, Yongsheng
    Zhang, Fuchen
    [J]. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2013, 12 (06) : 2935 - 2946
  • [36] Semi-Implicit Difference Scheme for a Two-Dimensional Parabolic Equation with an Integral Boundary Condition
    Jakubeliene, Kristina
    Ciupaila, Regimantas
    Sapagovas, Mifodijus
    [J]. MATHEMATICAL MODELLING AND ANALYSIS, 2017, 22 (05) : 617 - 633
  • [37] MLPG method for two-dimensional diffusion equation with Neumann's and non-classical boundary conditions
    Abbasbandy, S.
    Shirzadi, A.
    [J]. APPLIED NUMERICAL MATHEMATICS, 2011, 61 (02) : 170 - 180
  • [38] Non-local Boundary Problem with Integral Form Transmitting Condition for Fractional Mixed Type Equation in a Composite Domain
    Kerbal, S.
    Karimov, E.
    Rakhmatullaeva, N.
    [J]. MATHEMATICAL MODELLING OF NATURAL PHENOMENA, 2017, 12 (03) : 95 - 104
  • [39] Two-dimensional transport equation as Fredholm integral equation
    Kadem, Abdelouahab
    Baleanu, Dumitru
    [J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2012, 17 (02) : 530 - 535
  • [40] A Non-Local Diffusion Equation for Noise Removal
    Shao, Jingfeng
    Guo, Zhichang
    Yao, Wenjuan
    Yan, Dong
    Wu, Boying
    [J]. ACTA MATHEMATICA SCIENTIA, 2022, 42 (05) : 1779 - 1808
12345