Browsing Institute of Engineering Mathematics (Articles) by Author "khatim@ftsm.ukm.my"

Now showing items 1-4 of 4

    • Analytical and numerical solutions of fuzzy differential equations 

      Muhammad Zaini, Ahmad, Dr.; Mohammad Khatim, Hasan, Assoc. Prof. Dr.; De Baets, Bernard (Elsevier Inc., 2013-07)
      In this paper, we study analytical and numerical solutions of fuzzy differential equations based on the extension principle. For linear fuzzy differential equations, we state some results on the behaviour of the solutions ...

    • A hybrid method for solving fuzzy differential equations 

      Wan Suhana, Wan Daud; Muhammad Zaini, Ahmad, Dr.; Elyana, Sakib; Mohammad Khatim, Hasan, Assoc. Prof. Dr. (Medwell Journals, 2013)
      This study proposes a hybrid method called Particle Swarm Optimization-Fuzzy Euler Method (PSOFEM) for solving fuzzy differential equations. The PSOFEM is obtained by embedding a particle swarm optimization technique in a ...

    • A new approach to incorporate uncertainty into Euler's method 

      Muhammad Zaini, Ahmad; M. K., Hassan (Hikari Ltd, 2010)
      Fuzzy set provides a powerful technique to introduce uncertainty into numerical methods. However, the computations of fuzzy sets often face difficult problems. This is due to non-applicability of common existing methods, ...

    • Solving fuzzy fractional differential equations using Zadeh's extension principle 

      Muhammad Zaini, Ahmad, Dr.; Mohammad Khatim, Hasan, Assoc. Prof. Dr.; Saeid, Abbasbandy, Dr. (Hindawi Publishing Corporation, 2013)
      We study a fuzzy fractional differential equation (FFDE) and present its solution using Zadeh's extension principle. The proposed study extends the case of fuzzy differential equations of integer order. We also propose a ...