Numerical solution of the first order linear fuzzy differential equations using He$’$s variational iteration method

M. Ramachandran1* and M. Shobanapriya2

doi:10.26637/MJM0601/0012

Numerical solution of the first order linear fuzzy differential equations using He$’$s variational iteration method

Authors :

M. Ramachandran^1* and M. Shobanapriya²

Author Address :

¹Department of Mathematics, Government Arts and Science College, Sathyamangalam-638 401, Tamil Nadu, India.
²BT Assistant (Mathematics), Municipal Girls Higher Secondary School, Gobichettipalayam-638 476, Tamil Nadu, India.

*Corresponding author.

Abstract :

In this research, first order linear fuzzy differential equations is considered. This paper compares the He’s variational iteration method (HVIM) and Leapfrog method cite{sskp1} for solving these equations. He’s variational iteration method is an analytical procedure for finding the solutions of problems which is based on the constructing a variational iterations. The Leapfrog method, based upon Taylor series, transforms the fuzzy differential equation into a matrix equation. The results of applying these methods to the first order linear fuzzy differential equations show the simplicity and efficiency of these methods.

Keywords :

Fuzzy differential equations, Fuzzy initial value problems, Leapfrog method, He’s variational iteration method.

DOI :

10.26637/MJM0601/0012

Article Info :

Received : September 24, 2017; Accepted : December 09, 2017.