Solution to an ice melting cylindrical problem

Volume 9, Issue 4, pp 1440--1452 http://dx.doi.org/10.22436/jnsa.009.04.04

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Authors

Abdellatif Boureghda - Department of Mathematics, Ferhat Abbas University, Sétif 1, Algeria.

Abstract

We give a solution to an ice melting cylindrical problem using the ''modified variable time step method'', earlier suggested by the author. New numerical techniques are proposed for the one-dimensional melting problem. The numerical results are obtained for the position of the moving boundary, time and temperatures.

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Keywords

• Stefan problems
• phase changes
• moving boundary problems
• partial differential equations
• finite difference methods
• heat equation.

MSC

•  35R35
•  35R37
•  80A22
•  65M06
•  65N06
•  35K05

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