A new perturbation-iteration approach for first order differential equations

Pakdemirli M., AKSOY Y., Boyaci H.

Mathematical and Computational Applications, cilt.16, sa.4, ss.890-899, 2011 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 16 Sayı: 4
  • Basım Tarihi: 2011
  • Doi Numarası: 10.3390/mca16040890
  • Dergi Adı: Mathematical and Computational Applications
  • Derginin Tarandığı İndeksler: Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.890-899
  • Anahtar Kelimeler: Convergence, First order differential equations, Numerical solutions, Perturbation methods, Perturbation-iteration algorithms
  • Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

Two new perturbation-iteration algorithms for solving differential equations of first order are proposed. Variants of the algorithm are developed depending on the differential order of Taylor series expansions. The iteration algorithms are tested on a number of first order equations. Much better solutions than the regular perturbation solutions are achieved. © Association for Scientific Research.