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

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DOI:

https://doi.org/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
  • 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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Published

01-01-2018

How to Cite

M. Ramachandran, and M. Shobanapriya. “Numerical Solution of the First Order Linear Fuzzy Differential Equations Using He’s Variational Iteration Method”. Malaya Journal of Matematik, vol. 6, no. 01, Jan. 2018, pp. 80-84, doi:10.26637/MJM0601/0012.