A runge-kutta method with lower function evaluations for solving hybrid fuzzy differential equations

  • Authors:

  • Ali Ahmadian;Mohamed Suleiman;Fudziah Ismail;Soheil Salahshour;Ferial Ghaemi

  • Affiliations:

  • Institute for Mathematical Research, Universiti Putra Malaysia, UPM, Serdang, Selangor, Malaysia;Institute for Mathematical Research, Universiti Putra Malaysia, UPM, Serdang, Selangor, Malaysia;Institute for Mathematical Research, Universiti Putra Malaysia, UPM, Serdang, Selangor, Malaysia;Department of Mathematics, Mobarakeh Branch, Islamic Azad University, Mobarakeh, Iran;Institute of Advanced Technology, Universiti Putra Malaysia, UPM, Serdang, Selangor, Malaysia

  • Venue:
  • ACIIDS'13 Proceedings of the 5th Asian conference on Intelligent Information and Database Systems - Volume Part I
  • Year:
  • 2013

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Abstract

In this paper, we apply a Runge-Kutta method for solving first order fuzzy differential equations using lower number of function evaluations in comparison with classical Runge-Kutta method. It is assumed that the user will evaluate both f and f′ readily instead of the evaluations of f only when solving hybrid fuzzy differential equation which enhance the order of accuracy of the solutions. Numerical example is provided which compares the new results with previous findings.