Presenting numerical solutions of first order linear fuzzy differential equations using leapfrog method

This paper presents numerical solutions of first order linear fuzzy differential equations using Leapfrog method. The obtained discrete solutions are compared with single-term Haar wavelet series (STHWS) method [1]. Error graphs and error calculation tables are presented to highlight the efficiency of the Leapfrog method. This method can be implemented in the digital computers and take any time of solutions. 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.