حل عددی معادلات دیفرانسیل فازی مرتبه n با استفاده از روش آدامز- بشفورث
محورهای موضوعی : آمار
نورالدین پرندین
1
(
گروه ریاضی, دانشکده علوم, دانشگاه آزاد کرمانشاه, کرمانشاه, ایران.
)
کلید واژه: Fuzzy differential equations, Adams-Bashforth Fuzzy differen, Adams-Bashforth,
چکیده مقاله :
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.
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.
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