Solving fuzzy differential equation using fourth-order four-stage improved Runge–Kutta method

Faranak Rabiei, Fudziah Ismail, Saeid Emadi

Research output: Chapter in Book/Report/Conference proceedingConference PaperOther

Abstract

In this paper the fuzzy improved Runge–Kutta method of order four for solving first-order fuzzy differential equations is proposed. The scheme is two step in nature and is based on the fourth-order improved Runge–Kutta method for solving first-order ordinary differential equations. The numerical examples are tested to illustrate the efficiency of method.

Original languageEnglish
Title of host publicationForging Connections between Computational Mathematics and Computational Geometry - Papers from the 3rd International Conference on Computational Mathematics and Computational Geometry
EditorsKe Chen, Anton Ravindran
PublisherSpringer
Pages167-177
Number of pages11
ISBN (Print)9783319161389
DOIs
Publication statusPublished - 2016
Externally publishedYes
EventAnnual International Conference on Computational Mathematics, Computational Geometry and Statistics 2014 - Singapore, Singapore
Duration: 3 Feb 20144 Feb 2014
Conference number: 3rd

Publication series

NameSpringer Proceedings in Mathematics and Statistics
Volume124
ISSN (Print)2194-1009
ISSN (Electronic)2194-1017

Conference

ConferenceAnnual International Conference on Computational Mathematics, Computational Geometry and Statistics 2014
Abbreviated titleCMCGS 2014
CountrySingapore
CitySingapore
Period3/02/144/02/14

Keywords

  • Fuzzy differential equations
  • Fuzzy improved Runge–Kutta method
  • Improved Runge–Kutta method
  • Two-step methods

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