A new fuzzy version of Euler's method for solving differential equations with fuzzy initial values

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

This paper proposes a new fuzzy version of Euler's method for solving differential equations with fuzzy initial values. Our proposed method is based on Zadeh's extension principle for the reformulation of the classical Euler's method, which takes into account the dependency problem that arises in fuzzy setting. This problem is often neglected in numerical methods found in the literature for solving differential equations with fuzzy initial values. Several examples are provided to show the advantage of our proposed method compared to the conventional fuzzy version of Euler's method proposed in the literature.

Original languageEnglish
Pages (from-to)651-657
Number of pages7
JournalSains Malaysiana
Volume40
Issue number6
Publication statusPublished - Jun 2011

Fingerprint

Euler's method
Differential equation
Extension Principle
Reformulation
Numerical Methods

Keywords

  • Euler's method
  • Fuzzy initial value
  • Fuzzy set
  • Optimisation

ASJC Scopus subject areas

  • General

Cite this

A new fuzzy version of Euler's method for solving differential equations with fuzzy initial values. / Ahmad, M. Z.; Hasan, Mohammad Khatim.

In: Sains Malaysiana, Vol. 40, No. 6, 06.2011, p. 651-657.

Research output: Contribution to journalArticle

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