Computational aspects of the finite difference method for the time-dependent heat equation

被引：1

作者：

Sequeira-Chavarria, Filander ^{[1
]}

Ramirez-Bogantes, Melvin ^{[2
]}

机构：

[1] Univ Nacl, Escuela Matemat, Heredia, Costa Rica

[2] Inst Tecnol Costa Rica, Escuela Matemat, Cartago, Costa Rica

来源：

UNICIENCIA | 2019年 / 33卷 / 01期

关键词：

Heat equation; finite difference method; computationl implementation; MATLAB (R);

D O I：

10.15359/ru.33-1.7

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this paper we describe in detail an algorithm for the efficient computational implementation of the finite difference method (FDM) in the two-dimensional time-dependent heat equation with non-homogeneous Dirichlet boundary conditions. The MATLAB (R) software was used to validate the method mentioned here; however, the processes are presented independently from the programming language, Finally, numerical results are presented to validate the proposed algorithm.

引用

页码：83 / 100

页数：18

共 14 条

[1]

[Anonymous], 2004, FINITE DIFFERENCE SC, DOI [DOI 10.1137/1.9780898717938, 10.1137/1.9780898717938]

[2]

[Anonymous], INTRO NUMERICAL LINE

[3]

[Anonymous], 2002, CLASSICS APPL MATH, DOI DOI 10.1137/1.9780898719208

[4]

[Anonymous], 2010, NUMERICAL LINEAR ALG, DOI DOI 10.1137/1.9780898717655

[5]

Carslow H. S., 1986, Conduction of heat in solids, V2nd edn

[6]

Demmel J. W., 1997, APPL NUMERICAL LINEA, DOI [10.1137/1.9781611971446, DOI 10.1137/1.9781611971446]

[7]

Evans L.C., 2010, Partial Differential Equations, V19, pxxii+749

[8] H(div) conforming and DG methods for incompressible Euler's equations [J].

Guzman, Johnny ;

Shu, Chi-Wang ;

Sequeira, Filander A. .

IMA JOURNAL OF NUMERICAL ANALYSIS, 2017, 37 (04) :1733-1771

[9]

Haberman R., 1998, ELEMENTARY APPL PART, Vthird

[10]

Hahn B., 2016, Essential MATLAB for engineers and scientists

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