Numerical investigation of the hybrid fuzzy differential equations using He$’$s homotopy perturbation method

S. Sekar a,∗ and A. Sakthivel b

Numerical investigation of the hybrid fuzzy differential equations using He$’$s homotopy perturbation method

Authors :

S. Sekar ^a,∗and A. Sakthivel ^b

Author Address :

^aDepartment of Mathematics, Government Arts College (Autonomous), Salem – 636 007, Tamil Nadu, India.
^bDepartment of Mathematics, Bharathiyar College of Engineering and Technology, Karaikal – 609 609, India.

*Corresponding author.

Abstract :

This paper presents an efficient method namely He’s Homotopy Perturbation Method (HHPM) is introduced for solving hybrid fuzzy differential equations based on Seikkala derivative with initial value problem cite{tjkk12}. The proposed method is tested on hybrid fuzzy differential equations. The discrete solutions obtained through He’s Homotopy Perturbation Method are compared with Leapfrog method cite{sskp}. The applicability of the He’s Homotopy Perturbation Method is more suitable to solve the hybrid fuzzy differential equations. Error graphs are presented to highlight the efficiency of the He’s Homotopy Perturbation Method.

Keywords :

Fuzzy differential equations, Fuzzy initial value problems, Hybrid Fuzzy Differential Equations, Leapfrog method, He’s Homotopy Perturbation Method.

DOI :

Article Info :

Received : March 07, 2017; Accepted : May 02, 2017.