Numerical Solution of First-Order Fuzzy Initial Value Problem by Non-Linear Trapezoidal Formulae Based on Variety of Means

Abstract

In this paper the study of numerical algorithms for solving first-order fuzzy initial value problems based on Seikkala derivative of fuzzy process are considered. The numerical methods discussed are the non-linear Trapezoidal formulae based on variety of means. Sufficient conditions for stability and convergence of the proposed algorithms are given. The accuracy and efficiency of the proposed methods are illustrated by solving a fuzzy initial value problem using triangular fuzzy number.