A fully implicit finite-difference scheme for two-dimensional Burgers' equations

Bahadir A. R.

APPLIED MATHEMATICS AND COMPUTATION, cilt.137, sa.1, ss.131-137, 2003 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 137 Sayı: 1
  • Basım Tarihi: 2003
  • Doi Numarası: 10.1016/s0096-3003(02)00091-7
  • Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.131-137
  • İnönü Üniversitesi Adresli: Evet

Özet

The two-dimensional Burgers' equations are discretized in fully implicit finite-difference form. This scheme leads to a system of nonlinear difference equations to be solved at each time-step. Newton's method is used to solve this nonlinear system. The linear system is solved by a direct method at each iteration of Newton's method. The accuracy of the proposed numerical scheme is examined by comparison with other analytical and numerical results. The present method performs well. (C) 2002 Published by Elsevier Science Inc.