A Collocation Finite Element Solution for Stefan Problems with Periodic Boundary Conditions

被引：2

作者：

Karabenli, Hatice ^{[1
]}

Ucar, Yusuf ^{[1
]}

Aksan, E. Nesligul ^{[1
]}

机构：

[1] Inonu Univ, Fac Arts & Sci, Dept Math, Malatya, Turkey

来源：

FILOMAT | 2016年 / 30卷 / 03期

关键词：

Stefan problems; Variable space grid methods; collocation finite element methods; GALERKIN METHOD;

D O I：

10.2298/FIL1603699K

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this study, we are going to obtain some numerical solutions of Stefan problems given together with time-dependent periodic boundary conditions. After using variable space grid method, we have presented a numerical finite element scheme based on collocation finite element method formed with cubic B-splines. The newly obtained numerical results are presented for temperature distribution, the position and the velocity of moving boundary. It is shown that the size of domain, oscillation amplitude and oscillation frequency which are situated at the boundary condition, strongly influence the temperature distribution and position of moving boundary. The numerical results are compared with other numerical solutions obtained by using finite difference method and they are found to be in good agreement with each other.

引用

页码：699 / 709

页数：11

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