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

Document Type: research paper

Author

Department of Mathematics, Faculty of Sciences, Kermanshah Azad University, Kermanshah, Iran.

Abstract

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 erential equations. Finally, we examine the accuracy of method by presenting examples.

Keywords

Article Title [Persian]

### حل عددی معادلات دیفرانسیل فازی مرتبه n با استفاده از روش آدامز- بشفورث

Author [Persian]

• نورالدین پرندین
گروه ریاضی, دانشکده علوم, دانشگاه آزاد کرمانشاه, کرمانشاه, ایران.
Abstract [Persian]

در این مقاله، روشی عددی برای حل معادلات دیفرانسیل مرتبه  پیشنهاد شده است. تاکنون روش­های زیادی برای حل معادلات دیفرانسیل فازی مرتبه اول، توسط محققین ارائه شده است. اما روش­های عددی کمتری نسبت به روش­های مرتبه اول، برای حل معادلات دیفرانسیل فازی مرتبه بالا پیشنهاد شده است. در این تحقیق، ابتداء معادله دیفرانسیل مرتبه n به دستگاهی از معادلات دیفرانسیل فازی مرتبه اول تبدیل می­شود، سپس از روش آدامز- بشفورث برای حل این دستگاه معادلات استفاده می­شود. نهایتاً با ارائه مثال­هایی، دقت روش سنجیده می­شود.

Keywords [Persian]

• معادلات دیفرانسیل فازی
• روش آدامز- بشفورث

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