One-phase inverse Stefan problem solved by Adomian decomposition method

被引：38

作者：

Grzymkowski, R ^{[1
]}

Slota, D ^{[1
]}

机构：

[1] Silesian Tech Univ, Inst Math, PL-44100 Gliwice, Poland

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2006年 / 51卷 / 01期

关键词：

inverse Stefan problem; Adomian decomposition method; heat equation;

D O I：

10.1016/j.camwa.2005.08.028

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the solution of one-phase inverse Stefan problem is presented. The problem consists of the reconstruction of the function which describes the distribution of temperature on the boundary, when the position of the moving interface is well-known. The proposed solution is based on the Adomian decomposition method and the least square method. (c) 2006 Elsevier Ltd. All rights reserved.

引用

页码：33 / 40

页数：8

共 36 条

[31] Exact solutions for heat-like and wave-like equations with variable coefficients [J].

Wazwaz, AM ;

Gorguis, A .

APPLIED MATHEMATICS AND COMPUTATION, 2004, 149 (01) :15-29

[32] Numerical steady state and Hopf bifurcation analysis on the diffusive Nicholson's blowflies equation [J].

So, Joseph W.-H. ;

Wu, Jianhong ;

Yang, Yuanjie .

Applied Mathematics and Computation (New York), 2000, 111 (01) :33-51

[33] Blow-up for solutions of some linear wave equations with mixed nonlinear boundary conditions [J].

Wazwaz, AM .

APPLIED MATHEMATICS AND COMPUTATION, 2001, 123 (01) :133-140

[34] Exact solutions to nonlinear diffusion equations obtained by the decomposition method [J].

Wazwaz, AM .

APPLIED MATHEMATICS AND COMPUTATION, 2001, 123 (01) :109-122

[35] DYNAMIC-PROGRAMMING APPROACH TO THE INVERSE STEFAN DESIGN PROBLEM [J].

ZABARAS, N ;

YUAN, K .

NUMERICAL HEAT TRANSFER PART B-FUNDAMENTALS, 1994, 26 (01) :97-104

[36] DESIGN OF 2-DIMENSIONAL STEFAN PROCESSES WITH DESIRED FREEZING FRONT MOTIONS [J].

ZABARAS, N ;

RUAN, YM ;

RICHMOND, O .

NUMERICAL HEAT TRANSFER PART B-FUNDAMENTALS, 1992, 21 (03) :307-325

← 1 2 3 4 →