International Journal of Advanced
Science and Engineering Research
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NUMERICAL SOLUTION OF N th ORDER FUZZY DIFFERENTIAL EQUATIONS USING HE’S VARIATIONAL ITERATION METHOD
Abstract
This paper presents an efficient method namely He ’s Va riat ional Iterat ion Method (HVIM) is introduced for solving Nth - order fuzzy differential equations based on Seikkala derivative with init ial value problem . The proposed method is tested on higher order fuzzy differential equations. The discrete solutions obtained through He’s Var iational Iteration Method are compared with He’s Ho motopy Perturbation Method (HHPM) [9]. The applicability of the He’s Var iational Ite ration Method is more suitable to solve the higher order fuzzy differential equations . Error graphs are presented to highlight the efficiency of the He ’s Var iational Iteration Method .