Comparison of Approximate Symmetry Methods for Differential Equations

Pakdemirli M., Yürüsoy M., Dolapçi I.

Acta Applicandae Mathematicae, cilt.80, sa.3, ss.243-271, 2004 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 80 Sayı: 3
  • Basım Tarihi: 2004
  • Doi Numarası: 10.1023/b:acap.0000018792.87732.25
  • Dergi Adı: Acta Applicandae Mathematicae
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.243-271
  • Anahtar Kelimeler: approximate symmetries, differential equations, Lie group theory
  • Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

Two current approximate symmetry methods and a modified new one are contrasted. Approximate symmetries of potential Burgers equation and non-Newtonian creeping flow equations are calculated using different methods. Approximate solutions corresponding to the approximate symmetries are derived for each method. Symmetries and solutions are compared and advantages and disadvantages of each method are discussed in detail.