Numerical solutions for a Stefan problem

Hatice KARABENLİ; Alaattin ESEN; E.nesligul AKSAN

Article Details

Numerical solutions for a Stefan problem

Authors:

Hatice KARABENLİ | Alaattin ESEN | E.nesligul AKSAN

Publisher:

Biska Bilişim

Journal:

New Trends in Mathematical Sciences 2016 Vol.4 Issue 4, pp.175-187

Document Type:

Article

Publication Date:

12/2016

Document Language:

English

Document ID (Org No.):

2000829913

Frequency:

Quarterly

eISSN:

2147-5520

pISSN:

2147-5520

Abstract:

 


The initial version of a Stefan problem is the melting
of a semi-infinite sheet of ice. This problem is described by a parabolic
partial differential equation along with two boundary conditions on the moving
boundary which are used to determine the boundary itself and complete the
solution of the differential equation. In this paper firstly, we use variable
space grid method, boundary immobilisation method and isotherm migration method
to get rid of the trouble of the Stefan problem. Then, collocation finite
element method based on cubic B-spline bases functions is applied to model
problem. The numerical schemes of finite element methods provide a good
numerical approximation for the model problem. The numerical results show that
the present results are in good agreement with the exact ones.

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Article Details

Numerical solutions for a Stefan problem

Authors: Hatice KARABENLİ | Alaattin ESEN | E.nesligul AKSAN

Publisher: Biska Bilişim

Journal: New Trends in Mathematical Sciences 2016 Vol.4 Issue 4, pp.175-187

Document Type: Article

Publication Date: 12/2016

Document Language: English

Document ID (Org No.): 2000829913

Frequency: Quarterly

eISSN: 2147-5520

pISSN: 2147-5520

Issues

Authors:

Hatice KARABENLİ | Alaattin ESEN | E.nesligul AKSAN

Publisher:

Biska Bilişim

Journal:

New Trends in Mathematical Sciences 2016 Vol.4 Issue 4, pp.175-187

Document Type:

Article

Publication Date:

12/2016

Document Language:

English

Document ID (Org No.):

2000829913

Frequency:

Quarterly

eISSN:

2147-5520

pISSN:

2147-5520