Effective algorithm for Euler system in a class of discontinuous functions


Rasulov M., COŞKUN E.

Mathematical and Computational Applications, cilt.4, sa.1, ss.185-188, 1999 (Scopus, TRDizin)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 4 Sayı: 1
  • Basım Tarihi: 1999
  • Doi Numarası: 10.3390/mca4020185
  • Dergi Adı: Mathematical and Computational Applications
  • Derginin Tarandığı İndeksler: Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.185-188
  • Karadeniz Teknik Üniversitesi Adresli: Evet

Özet

In this article, an effective algorithm is proposed for solving a Cauchy problem for Euler system in a class of discontinuous functions. To this end, an auxiliary system which is equivalent to, but has more advantages then, Euler system is introduced. The auxiliary system requires less smoothness assumptions on the solution, hence, is better for the numerical applications.