A Collocation Finite Element Solution for Stefan Problems with Periodic Boundary Conditions
Küçük Resim Yok
Tarih
2016
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Univ Nis, Fac Sci Math
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
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.
Açıklama
2nd International Conference on Recent Advances in Pure and Applied Mathematics (ICRAPAM) -- JUN 03-06, 2015 -- Istanbul Commerce Univ, Fac Arts & Sci, Istanbul, TURKEY
Anahtar Kelimeler
Stefan problems, Variable space grid methods, collocation finite element methods
Kaynak
Filomat
WoS Q Değeri
Q2
Scopus Q Değeri
Q3
Cilt
30
Sayı
3
