On Numerical Solutions of Fuzzy Differential Equations

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

International Journal of Development Research, vol.8, no.9, pp.22971-22979, 2018 (Peer-Reviewed Journal)

  • Publication Type: Article / Article
  • Volume: 8 Issue: 9
  • Publication Date: 2018
  • Journal Name: International Journal of Development Research
  • Journal Indexes: Other Indexes
  • Page Numbers: pp.22971-22979
  • Kocaeli University Affiliated: Yes

Abstract

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.