On the finite differences schemes for the numerical solution of two-dimensional moving boundary problem

Gulkac V.

APPLIED MATHEMATICS AND COMPUTATION, cilt.168, sa.1, ss.549-556, 2005 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 168 Sayı: 1
  • Basım Tarihi: 2005
  • Doi Numarası: 10.1016/j.amc.2004.09.039
  • Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.549-556
  • Kocaeli Üniversitesi Adresli: Evet

Özet

In this paper, two different finite differences schemes are presented for numerical solution of two-dimensional moving boundary problem. The methods are illustrated by solving sample problem in two-dimensional solidification of the square prism. The finite difference schemes developed for this purpose are based on the method of lines using interpolation polynomials. The fully explicit method developed here which has reasonable accuracy, and Peaceman and Rachford alternating direction implicit (ADI) formula illustrated by solving sample problem.