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

Theory of Approximation and Applications

مقاله 1، دوره 12، شماره 2، اسفند 2018، صفحه 1-15   

نوع مقاله: Research Articles

نویسنده

Nouredin Parandin^*

Faculty of Science, Islamic Azad University, Kermanshah, Iran

چکیده

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 solved, we applied numerical methods for the solution. The topics of fuzzy differential equations have been rapidly growing in recent years. So far, many methods have been presented to solve the first-order differential equations. Not many studies have been conducted for numerical solution of high-order fuzzy differential equations. In this research, first, the equation by reducing time, we become the first-order equation. Then we have applied Adam-Moulton multi-step methods for the initial approximation of one order differential equations. Finally, we examine the accuracy of method by presenting examples.

کلیدواژه‌ها

Fuzzy؛ Differential Equations؛ Adam-Moulton