The iterative transformation method: Numerical solution of one-dimensional parabolic moving boundary problems

被引：19

作者：

Fazio, R ^{[1
]}

机构：

[1] Univ Messina, Dept Math, I-98166 Messina, Italy

来源：

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 2001年 / 78卷 / 02期

关键词：

iterative transformation method; implicit Euler's method; parabolic moving boundary problems;

D O I：

10.1080/00207160108805107

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The main contribution of this paper is the application of the iterative transformation method to the numerical solution of the sequence of free boundary problems obtained from one-dimensional parabolic moving boundary problems via the implicit Euler's method. The combination of the two methods represents a numerical approach to the solution of those problems. Three parabolic moving boundary problems, two with explicit and one with implicit moving boundary conditions, are solved in order to test the validity of the proposed approach. As far as the moving boundary position is concerned the obtained numerical results:are found to be in agreement with those available in literature.

引用

页码：213 / 223

页数：11

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