روش تقریبی برای حل معادله دیفرانسیل کسری انتقال پراکندگی
Subject Areas : International Journal of Industrial Mathematicsاسماعیل بابلیان 1 , محمد ادبی تبارفیروزجا 2 , ذهرام عاقلی 3
1 - دانشکده علوم ریاضی و کامپیوتر، دانشگاه خوارزمی، کرج، ایران.
2 - گروه ریاضی، دانشگاه آزاد اسلامی، واحد قائمشهر، قائمشهر، ایران.
3 - گروه ریاضی، دانشگاه آزاد اسلامی، واحد قائمشهر، قائمشهر، ایران.
Keywords: مشتقات کسری کاپوتو, تبدیل فازی, انتقال پراکندگی, روشهای عددی,
Abstract :
در این کار تحقیقاتی، نشان داده شده است که می توان از روش تبدیل فازی (FTM) برای حل تقریبی معادله دیفرانسیل کسری انتقال پراکندگی (STFADE) استفاده کرد. مشتقات کسری از نوع کاپوتو در نظر گرفته شده اند. در روشهای عددی، برای تقریب یک تابع در یک بازه خاص ، فقط از تعداد محدودی از نقاط استفاده می شود. با این حال ، چیزی که تبدیل فازی را بر سایر روشها ترجیح می دهد این است که از تمام نقاط در بازه استفاده می کند. نتایج عددی بدست آمده نشان می دهد که الگوریتم پیشنهادی راه حل تقریبی بسیار خوبی ارائه می دهد.
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