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

M. Ramachandran; M. Shobanapriya

doi:10.26637/MJM0601/0012

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 [17] 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

Mathematics Subject Classification:

Mathematics

Authors Imprint References Funding Related Articles Downloads

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

Pages: 80-84
Date Published: 01-01-2018
Vol. 6 No. 01 (2018): Malaya Journal of Matematik (MJM)

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