Exact and analytic numerical solution of coupled parabolic mixed problems in a semi-infinite medium

被引：0
|
作者：
Company, R [1 ]
Defez, E [1 ]
Jódar, L [1 ]
机构：
[1] Univ Politecn Valencia, Inst Matemat Multidisciplinar, Valencia, Spain
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2004年 / 47卷 / 2-3期
关键词：
coupled hyperbolic problem; sine Fourier transform; diffusion problems;
D O I：
10.1016/S0898-1221(04)90032-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper deals with the construction of accurate analytic-numerical approximations of coupled parabolic mixed systems. Using sine Fourier transforms, an exact expression of the exact solution is given. Then, given an admissible error epsilon and a time bounded subdomain Omega, an analytic numerical solution is constructed so that the approximation error is less than E in Omega. (C) 2004 Elsevier Ltd. All rights reserved.
引用
收藏
页码：381 / 390
页数：10
相关论文
共 50 条
  • [1] Exact and analytic numerical solution of coupled diffusion problems in a semi-infinite medium
    Jodar, L
    Goberna, D
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1996, 31 (09) : 17 - 24
  • [2] Analytic and numerical solution of coupled implicit semi-infinite diffusion problems
    Jódar, L
    Pérez, J
    Villanueva, RJ
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2001, 41 (3-4) : 447 - 459
  • [3] Exact and Analytic-Numerical Solutions of Lagging Models of Heat Transfer in a Semi-Infinite Medium
    Castro, M. A.
    Rodriguez, F.
    Escolano, J.
    Martin, J. A.
    [J]. ABSTRACT AND APPLIED ANALYSIS, 2013,
  • [4] Exact and efficient solution of the radiative transport equation for the semi-infinite medium
    Liemert, Andre
    Kienle, Alwin
    [J]. SCIENTIFIC REPORTS, 2013, 3
  • [5] Analytic-Numerical Solution of Random Boundary Value Heat Problems in a Semi-Infinite Bar
    Casaban, M. -C.
    Cortes, J. -C.
    Garcia-Mora, B.
    Jodar, L.
    [J]. ABSTRACT AND APPLIED ANALYSIS, 2013,
  • [6] Exact and efficient solution of the radiative transport equation for the semi-infinite medium
    André Liemert
    Alwin Kienle
    [J]. Scientific Reports, 3
  • [7] On Exact Series Solution of Strongly Coupled Mixed Parabolic Problems
    Soler, Vicente
    Defez, Emilio
    Ferrer, M. V.
    Camacho, J.
    [J]. ABSTRACT AND APPLIED ANALYSIS, 2013,
  • [8] Explicit solution of time dependent diffusion problems in a semi-infinite medium
    Jódar, L
    Pérez, J
    Villanueva, RJ
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2002, 43 (1-2) : 157 - 167
  • [9] Exact solution of a semi-infinite crack in an infinite piezoelectric body
    Chen Wei-qiu
    [J]. Archive of Applied Mechanics, 1999, 69 : 309 - 316
  • [10] Exact solution of a semi-infinite crack in an infinite piezoelectric body
    Chen, WQ
    [J]. ARCHIVE OF APPLIED MECHANICS, 1999, 69 (05) : 309 - 316
12345