Pseudo-spectral Matrix and Normalized Grunwald Approximation for Numerical Solution of Time Fractional Fokker-Planck Equation
محورهای موضوعی : مجله بین المللی ریاضیات صنعتی
S. Gholami
1
(Department of Mathematics, East Tehran Branch, Islamic Azad University, Tehran, Iran.)
E. Babolian
2
(Faculty of Mathematical Sciences and Computer, Kharazmy University, Tehran, Iran.)
M. Javidi
3
(Department of Mathematics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran.)
کلید واژه: Fractional Fokker-Planck Equation, Pseudo-Spectral Integration Matrix, Grunwald-Letnikov Derivative, Gauss-Lobatto Points,
چکیده مقاله :
This paper presents a new numerical method to solve time fractional Fokker-Planck equation. The space dimension is discretized to the Gauss-Lobatto points, then we apply pseudo-spectral successive integration matrix for this dimension. This approach shows that with less number of points, we can approximate the solution with more accuracy. The numerical results of the examples are displayed.
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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