IJPAM: Volume 103, No. 3 (2015)

NUMERICAL INVESTIGATION OF THE HYBRID FUZZY
DIFFERENTIAL EQUATIONS USING LEAPFROG METHOD

S. Sekar$^1$, K. Prabhavathi$^2$
$^1$Department of Mathematics
Government Arts College (Autonomous)
Salem, 636 007, Tamil Nadu, INDIA
$^2$Department of Mathematics
Bannari Amman Institute of Technology
Sathyamangalam, 638 401, Tamil Nadu, INDIA


Abstract. In this paper, We develop the Leapfrog method for solving hybrid fuzzy differential equations (HFDE) based on the generalized concept of higher-order fuzzy differentiability [#!ssekar13!#]. The obtain discrete solutions were compared with another method taken from the literature [#!ssekar13!#]. The new method has a lower computational cost which effects the time consumption. We assume that the fuzzy function and its derivative are Hukuhara differentiable. The numerical example was given to illustrate the efficiency of the method.

Received: February 8, 2015

AMS Subject Classification: 65L80, 65L05

Key Words and Phrases: fuzzy differential equations, fuzzy initial value problems, hybrid fuzzy differential equations, single term Haar wavelet series, Leapfrog method

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DOI: 10.12732/ijpam.v103i3.1 How to cite this paper?

Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2015
Volume: 103
Issue: 3
Pages: 385 - 394


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