A Numerical Method For Solving Nth-Order Fuzzy Differential Equation by using Characterization Theorem

A Numerical Method For Solving Nth-Order Fuzzy Differential Equation by using Characterization Theorem

In this paper, we study a numerical method for solving Nth-Order fuzzy differential equation (NOFDE). A Characterization Theorem that is presented shows that the NOFDE is equivalent to system of ODEs. So the numerical method for ODE can be used for NOFDE. Two examples are provided.

A method for solving first order fuzzy differential equation

Numerical Solution of fuzzy differential equations of nth-order by Adams-Moulton method

In recent years, Fuzzy differential equations are very useful indifferent sciences such as physics, chemistry, biology and economy. It should be noted, that if the equations that appear to be uncertain, then take help of fuzzy logic at these equations. Considering that most of the time analytic solution of such equations and finding an exact solution has either high complexity or cannot be solv...

a method for solving first order fuzzy differential equation

Numerical Solution of fuzzy differential equations of nth-order by Adams-Bashforth method

So far, many methods have been presented to solve the rst-order di erential equations. But, not many studies have been conducted for numerical solution of high-order fuzzy di erential equations. In this research, First, the equation by reducing time, we transform the rst-order equation. Then we have applied Adams-Bashforth multi-step methods for the initial approximation of one order di erentia...