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ISSN:2164-6457 (print)
ISSN:2164-6473 (online)
Journal of Applied Nonlinear Dynamics
Miguel A. F. Sanjuan (editor), Albert C.J. Luo (editor)
Miguel A. F. Sanjuan (editor)

Department of Physics, Universidad Rey Juan Carlos, 28933 Mostoles, Madrid, Spain

Email: miguel.sanjuan@urjc.es

Albert C.J. Luo (editor)

Department of Mechanical and Industrial Engineering, Southern Illinois University Ed-wardsville, IL 62026-1805, USA

Fax: +1 618 650 2555 Email: aluo@siue.edu

Fourth Order Runge-Kutta Method for Solving First-order Fully Fuzzy Differential Equations Under Strongly Generalized H-differentiability

Journal of Applied Nonlinear Dynamics 6(3) (2017) 387--406 | DOI:10.5890/JAND.2017.09.007

D. Vivek; K. Kanagarajan; S. Indirakumar

Department of Mathematics, Sri Ramakrishna Mission Vidyalaya College of Arts and Science, Coimbatore - 641 020, Tamilnadu, India

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Abstract

In this paper we use fourth order Runge-Kutta method for solving fully fuzzy differential equations of the form y'(t) = a⊗y(t), y(0)= y0, t ∈ [0,T] under strongly generalized H-differentiability. The algorithm used here are based on cross product of two fuzzy numbers. Using cross product we can divide fully fuzzy differential equation (FFDE) into four different cases. We apply the results to a particular case of FFDE. The Convergence of this method is discussed and numerical examples are given to verify the reliability of this method.

Acknowledgments

The authors are greatful to the referees for their careful reading of the manuscript and valuable comments. The authors thank the help from editor too.

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