Title: Euler-based new solution method for fuzzy initial value problems

Authors: Smita Tapaswini; S. Chakraverty

Addresses: Department of Mathematics, National Institute of Technology, Rourkela, Odisha – 769 008, India ' Department of Mathematics, National Institute of Technology, Rourkela, Odisha – 769 008, India

Abstract: This paper targets to investigate the numerical solution of linear, non-linear and system of ordinary differential equations with fuzzy initial condition. Here, two Euler type methods have been proposed in order to obtain numerical solution of the fuzzy differential equations. Along with this, an exact solution methodology is also discussed. Obtained results are depicted in term of plots to show the efficiency of the proposed methods. The solutions are compared with the known results and are found to be in good agreement.

Keywords: fuzzy differential equations; FDE; fuzzy numbers; Euler method; fuzzy initial value problem; FIVP; ordinary differential equations; ODE.

DOI: 10.1504/IJAISC.2014.059288

International Journal of Artificial Intelligence and Soft Computing, 2014 Vol.4 No.1, pp.58 - 79

Received: 17 Aug 2012
Accepted: 26 May 2013

Published online: 28 Jun 2014 *

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