Numerical solution of hybrid fuzzy differential equations by predictor-corrector method

Abstract

In this paper, we study the numerical solution of hybrid fuzzy differential equations by using Adams–Bashforth, Adams–Moulton and predictor-corrector methods. Predictor-corrector is obtained by combining Adams–Bashforth and Adams–Moulton methods. In addition, we state the convergence and stability of the proposed methods. Examples are presented to illustrate the computational aspects of these methods.

Keywords:

• hybrid systems
• fuzzy differential equations
• Adams–Bashforth method
• Adams–Moulton method
• predictor-corrector method

2000 AMS Subject Classification :

• 34A12 65L05

Acknowledgements

This work was supported by Department of Science and Technology, New Delhi, India. The authors would like to thank the referees for their valuable suggestions which have improved this paper.