On Numerical Solutions of Fuzzy Differential Equations

Kodal Sevindir H., Çetinkaya S., Tabak G.

International Journal of Development Research, cilt.8, sa.9, ss.22971-22979, 2018 (Hakemli Dergi)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 8 Sayı: 9
  • Basım Tarihi: 2018
  • Dergi Adı: International Journal of Development Research
  • Derginin Tarandığı İndeksler: Other Indexes
  • Sayfa Sayıları: ss.22971-22979
  • Kocaeli Üniversitesi Adresli: Evet

Özet

Controlling After being introduced by Chang and Zadeh, the topic of Fuzzy Differential Equations has been attracting a rapidly growing number of researchers in recent decades. In this paper some numerical algorithms for fuzzy ordinary differential equations are considered. Schemes for the classical Euler method, Homotopy Analysis Method (HAM), and Adomian Decomposition Method (ADM) are discussed; this is followed by an error analysis. The algorithms are used to solve numerically for a linear fuzzy Cauchy problem, and the first two iterative steps of the algorithms are shown explicitly in detail.