ماتریس شبه طیفی و تقریب نرمال شده گرانوالد برای حل عددی معادله فوکر پلانک زمان کسری
Subject Areas : International Journal of Industrial Mathematics
سعید
غلامی
1
(گروه ریاضی، دانشگاه آزاد اسلامی واحد تهران شرق، تهران، ایران.)
اسماعیل
بابلیان
2
(گروه علوم ریاضی و کامپیوتر، دانشگاه خوارزمی، تهران، ایران.)
محمد
جاویدی
3
(گروه ریاضی، دانشگاه تبریز، تبریز، ایران.)
Keywords: مشتق گرانوالد-لتنیکوف, معادله فوکر پلانک, نقاط گاوس لوباتو,
Abstract :
این مقاله روش جدیدی برای حل معادله فوکر پلانک زمان کسری ارائه می کند. بعد مکان به نقاط گاوس لوباتو تجزیه شده و سپس ماتریس شبه طیفی انتگرال گیری های متوالی را برای این بعد به کار می بریم. این روش نشان می دهد که ما با تعداد نقاط کمتری می توانیم جواب را با دقت بیشتری تقریب بزنیم. نتایج عددی مثال ها، نمایش داده شده اند.
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