A numerical method based on integro-differential formulation for solving a one-dimensional Stefan problem

被引：6

作者：

Ang, Whye-Teong ^{[1
]}

机构：

[1] Nanyang Technol Univ, Sch Mech & Aerosp Engn, Div Engn Mech, Singapore 639798, Singapore

来源：

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 2008年 / 24卷 / 03期

关键词：

integro-difterential equation; local interpolating functions; predictor-corrector approach; Stefan problem;

D O I：

10.1002/num.20298

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 formulation is proposed for solving a one-dimensional moving boundary Stefan problem involving heat conduction in a solid with phase change. Some specific test problems are solved using the proposed method. The numerical results obtained indicate that it can give accurate solutions and may offer an interesting and viable alternative to existing numerical methods for solving the Stefan problem. (C) 2007 Wiley Periodicals, Inc.

引用

页码：939 / 949

页数：11

共 16 条

[1] A numerical method for the wave equation subject to a non-local conservation condition [J].

Ang, WT .

APPLIED NUMERICAL MATHEMATICS, 2006, 56 (08) :1054-1060

[2] Numerical solution of a non-classical parabolic problem: An integro-differential approach [J].

Ang, WT .

APPLIED MATHEMATICS AND COMPUTATION, 2006, 175 (02) :969-979

[3] A variable time step Galerkin method for a one-dimensional Stefan problem [J].

Asaithambi, NS .

APPLIED MATHEMATICS AND COMPUTATION, 1997, 81 (2-3) :189-200

[4] A GALERKIN METHOD FOR STEFAN-PROBLEMS [J].

ASAITHAMBI, NS .

APPLIED MATHEMATICS AND COMPUTATION, 1992, 52 (2-3) :239-250

[5] Numerical methods for one-dimensional Stefan problems [J].

Caldwell, J ;

Kwan, YY .

COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING, 2004, 20 (07) :535-545

[6] Nodal integral and finite difference solution of one-dimensional Stefan problem [J].

Caldwell, J ;

Savovic, S ;

Kwan, YY .

JOURNAL OF HEAT TRANSFER-TRANSACTIONS OF THE ASME, 2003, 125 (03) :523-527

[7] An integral-differential equation approach for the free vibration of a SDOF system with hysteretic damping [J].

Chen, JT ;

You, DW .

ADVANCES IN ENGINEERING SOFTWARE, 1999, 30 (01) :43-48

[8]

Crank J, 1957, Q J Mech Appl Math, V10, P220

[9] A comparison of numerical models for one-dimensional Stefan problems [J].

Javierre, E. ;

Vuik, C. ;

Vermolen, F. J. ;

van der Zwaag, S. .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2006, 192 (02) :445-459

[10] The numerical solution of one-phase classical Stefan problem [J].

Kutluay, S ;

Bahadir, AR ;

Ozdes, A .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1997, 81 (01) :135-144

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