An Approximate Method for Solving Space-Time Fractional Advection-Dispersion Equation
محورهای موضوعی : مجله بین المللی ریاضیات صنعتیE. Babolian 1 , M. Adabitabar Firozja 2 , B. Agheli 3
1 - Department of Computer Science, Kharazmi University, Tehran, Iran.
2 - Department of Mathematics, Qaemshahr Branch, Islamic Azad
University, Qaemshahr, Iran.
3 - Department of Mathematics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran.
کلید واژه: Basic functions, Approximate method, Caputo derivative, Fuzzy-transform, Space-time fractional advection-dispersion,
چکیده مقاله :
In this research work, we have shown that it is possible to use fuzzy transform method (FTM) for approximate solution of space-time fractional advection-dispersion equation. In numerical methods, in order to approximate a function on a particular interval, only a restricted number of points are employed. However, what makes the F-transform preferable to other methods is that it makes use of all points in the interval.
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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