Accurate analytic numerical solution of initial value problems for parabolic systems

被引：1

作者：

Cortés, JC ^{[1
]}

Jódar, L

Castaño, JI

机构：

[1] Univ Politecn Valencia, Inst Mat Multidisciplinar, E-46071 Valencia, Spain

[2] Univ EAFIT, Dept Ciencias Basicas, Medellin, Colombia

来源：

MATHEMATICAL AND COMPUTER MODELLING | 2003年 / 37卷 / 9-10期

关键词：

initial value problem; parabolic system; Fourier transform;

D O I：

10.1016/S0895-7177(03)00119-5

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

This paper deals with the construction of an analytic numerical solution of initial value problems for parabolic systems. Using Fourier transforms and numerical integration, an approximate solution at a point (x, t) is constructed with error smaller than a prefixed quantity epsilon. (C) 2003 Elsevier Science Ltd. All rights reserved.

引用

页码：1077 / 1082

页数：6

共 16 条

[1]

[Anonymous], 1957, LINEAR OPERATORS 1

[2]

BAUER FL, 1961, NUMER MATH, V3, P241

[3] OBSERVABILITY AND STABILITY OF TEMPERATURE DISTRIBUTION IN A COMPOSITE HEAT CONDUCTOR [J].

CANNON, JR ;

KLEIN, RE .

SIAM JOURNAL ON APPLIED MATHEMATICS, 1973, 24 (04) :596-602

[4]

CELLEDONI E, 1998, DAMTP 1998 INA3

[5]

Dieudonne J., 1960, FDN MODERN ANAL

[6]

Flett T., 1980, DIFFERENTIAL ANAL

[7]

FOLLAND G.B., 1992, Fourier Analysis and Its Applications

[8]

Golub GH, 1989, MATRIX COMPUTATIONS

[9] Exact and analytic numerical solution of coupled diffusion problems in a semi-infinite medium [J].

Jodar, L ;

Goberna, D .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1996, 31 (09) :17-24

[10] ANALYTIC NUMERICAL-SOLUTION OF COUPLED SEMIINFINITE DIFFUSION-PROBLEMS [J].

JODAR, L ;

GOBERNA, D .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1995, 30 (12) :1-10

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