Journal of Uncertain Systems, Vol1 No3, 2007, August, World Academic Union (World Academic Press)

نویسندگان

  • A. F. Jameel
  • Ahmad Izani Md Ismail
چکیده

In this work, the homotopy perturbation method is developed and formulated to find an approximate-analytical solution of fuzzy initial value problems involving a nonlinear first order ordinary differential equation. HPM allows for the solution of FIVPs to be calculated in the form of an infinite series in which the components can be easily computed. An efficient algorithm is proposed of HPM on the basis of the principles and definitions of fuzzy sets theory and the capability of the method is illustrated by solving a nonlinear first order fuzzy Riccati equation with two different fuzzifications. The results indicate that the method is very effective and simple to apply and presented solution in the form of tables and figures. © 2015 World Academic Press, UK. All rights reserved.

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تاریخ انتشار 2015