Fuzzy version of a developed fourth order runge kutta method for solving differential equations with fuzzy initial values

Amirah Ramli, Rokiah @ Rozita Ahmad, Ummul Khair Salma Din, Abdul Razak Salleh

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

Abstract

In this paper, numerical algorithm is applied for solving fuzzy differential equations based on generalized Hukuhara differentiability. In order to enhance the order of accuracy of the solutions, a developed fourth order Runge-Kutta method is apply for solving fuzzy differential equations. The purpose of this study is to explore the explicit methods which we believe that most of the explicit methods can be improved and modified to cater and solve fuzzy differential equations. This paper is divided into six sections. In the first section, some basic definitions and theorem are reviewed. The numerical examples are given to illustrate the efficiency of the method and the comparison with the existing method is discussed.

Original languageEnglish
Title of host publicationAdvances in Industrial and Applied Mathematics: Proceedings of 23rd Malaysian National Symposium of Mathematical Sciences, SKSM 2015
PublisherAmerican Institute of Physics Inc.
Volume1750
ISBN (Electronic)9780735414075
DOIs
Publication statusPublished - 21 Jun 2016
Event23rd Malaysian National Symposium of Mathematical Sciences: Advances in Industrial and Applied Mathematics, SKSM 2015 - Johor Bahru, Malaysia
Duration: 24 Nov 201526 Nov 2015

Other

Other23rd Malaysian National Symposium of Mathematical Sciences: Advances in Industrial and Applied Mathematics, SKSM 2015
CountryMalaysia
CityJohor Bahru
Period24/11/1526/11/15

Fingerprint

Runge-Kutta method
differential equations
theorems

Keywords

  • Developed Fourth Order Runge-Kutta
  • Fuzzy differential equations
  • Hukuhara differentiability

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Ramli, A., Ahmad, R. . R., Din, U. K. S., & Salleh, A. R. (2016). Fuzzy version of a developed fourth order runge kutta method for solving differential equations with fuzzy initial values. In Advances in Industrial and Applied Mathematics: Proceedings of 23rd Malaysian National Symposium of Mathematical Sciences, SKSM 2015 (Vol. 1750). [030028] American Institute of Physics Inc.. https://doi.org/10.1063/1.4954564

Fuzzy version of a developed fourth order runge kutta method for solving differential equations with fuzzy initial values. / Ramli, Amirah; Ahmad, Rokiah @ Rozita; Din, Ummul Khair Salma; Salleh, Abdul Razak.

Advances in Industrial and Applied Mathematics: Proceedings of 23rd Malaysian National Symposium of Mathematical Sciences, SKSM 2015. Vol. 1750 American Institute of Physics Inc., 2016. 030028.

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

Ramli, A, Ahmad, RR, Din, UKS & Salleh, AR 2016, Fuzzy version of a developed fourth order runge kutta method for solving differential equations with fuzzy initial values. in Advances in Industrial and Applied Mathematics: Proceedings of 23rd Malaysian National Symposium of Mathematical Sciences, SKSM 2015. vol. 1750, 030028, American Institute of Physics Inc., 23rd Malaysian National Symposium of Mathematical Sciences: Advances in Industrial and Applied Mathematics, SKSM 2015, Johor Bahru, Malaysia, 24/11/15. https://doi.org/10.1063/1.4954564
Ramli A, Ahmad RR, Din UKS, Salleh AR. Fuzzy version of a developed fourth order runge kutta method for solving differential equations with fuzzy initial values. In Advances in Industrial and Applied Mathematics: Proceedings of 23rd Malaysian National Symposium of Mathematical Sciences, SKSM 2015. Vol. 1750. American Institute of Physics Inc. 2016. 030028 https://doi.org/10.1063/1.4954564
Ramli, Amirah ; Ahmad, Rokiah @ Rozita ; Din, Ummul Khair Salma ; Salleh, Abdul Razak. / Fuzzy version of a developed fourth order runge kutta method for solving differential equations with fuzzy initial values. Advances in Industrial and Applied Mathematics: Proceedings of 23rd Malaysian National Symposium of Mathematical Sciences, SKSM 2015. Vol. 1750 American Institute of Physics Inc., 2016.
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