A numerical solution of the Stefan problem with a Neumann-type boundary condition by enthalpy method

Esen A., Kutluay S.

APPLIED MATHEMATICS AND COMPUTATION, cilt.148, sa.2, ss.321-329, 2004 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 148 Sayı: 2
  • Basım Tarihi: 2004
  • Doi Numarası: 10.1016/s0096-3003(02)00846-9
  • Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.321-329
  • Anahtar Kelimeler: enthalpy method, moving boundary, Stefan problem, hopscotch technique, GALERKIN METHOD
  • İnönü Üniversitesi Adresli: Evet

Özet

In this paper, the enthalpy method based on suitable finite difference approximations has been applied to the one-dimensional moving boundary problem with a Neumann-type boundary condition known as the Stefan problem. The numerical results obtained by the hopscotch technique are compared with the exact solution of the problem. It is shown that all results are found to be in very good agreement with each other, and the numerical solution displays the expected convergence to the exact one as the mesh size is refined. (C) 2002 Elsevier Inc. All rights reserved.