اسـتفاده از تجزیـه و تحلیـل تقـارن لـی بـرای معـادلات دیفرانسـیل جزئـی مرتبـه دوم

Subject Areas : Numerical Analysis

موسی  ایلی ¹ (گروه ریاضی واحد رشت دانشگاه آزاد اسلامی رشت ایران)
جعفر  بی آزار ² (Department of Mathematics, Faculty of Science, University of Guilan)
زینب  آیتی ³ (Department of Engineering sciences, Faculty of Technology and Engineering East of Guilan, University of Guilan, P.C. 44891-63157, Rudsar-Vajargah, Iran)

Received: 2017-03-29 Accepted : 2017-05-29 Published : 2017-12-01

Keywords: معادلات دیفرانسیل کسری روش تقارن لی مشتق کسری قابل انطباق,

Abstract :

بـه دسـت آوردن راه حـل تحلیلـی یا عددی معادلات دیفرانسـیل کسـری بـه ویژه در سـال هـای اخیر ،یکی از مسـائل مشـکل و چالـش برانگیز در میـان ریاضیدانان و مهندسـان اسـت.هدف از ایـن مقالـه توسـعه روش تقـارن لی برای حـل معادلات دیفرانسـیل جزئی مرتبه دوم بر اسـاس مشـتق کسـری قابل انطباق اسـت. برخی از نمونـه هـای عددی برای نشـان دادن رویکرد پیشـنهادی ارائه شـده اسـت. 

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