A linearized numerical scheme for Burgers-like equations

Kutluay S., Esen A.

APPLIED MATHEMATICS AND COMPUTATION, cilt.156, sa.2, ss.295-305, 2004 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 156 Sayı: 2
  • Basım Tarihi: 2004
  • Doi Numarası: 10.1016/j.amc.2003.07.011
  • Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.295-305
  • Anahtar Kelimeler: Burgers' equation, linearized implicit finite-difference, EXPLICIT
  • İnönü Üniversitesi Adresli: Evet

Özet

A linearized implicit finite-difference method is presented to find numerical solutions of the one-dimensional Burgers-like equations. The method has been used successfully to obtain accurate numerical solutions even for small values of viscosity term v. Results obtained by the present method using a direct technique for some values of v have been compared with the exact values and are found to be in good agreement with each other. (C) 2003 Published by Elsevier Inc.