مشخصات پژوهش

عنوان	NUMERICAL INVESTIGATION OF SPACE FRACTIONAL ORDER DIFFUSION EQUATION BY THE CHEBYSHEV COLLOCATION METHOD OF THE FOURTH KIND AND COMPACT FINITE DIFFERENCE SCHEME
نوع پژوهش	مقاله چاپ شده
کلیدواژه‌ها	Space fractional order diffusion equation, compact finite difference, Chebyshev collocation method of the fourth kind, convergence, stability.
چکیده	This paper develops a numerical scheme for finding the approximate solution of space fractional order of the diffusion equation (SFODE). Firstly, the compact finite didierence (CFD) with convergence order O(t^2) is used for discretizing time derivative. Afterwards, the spatial fractional derivative is approximated by the Chebyshev collocation method of the fourth kind. Furthermore, time-discrete stability and convergence analysis are presented. Finally, two examples are numerically investigated by the proposed method. The examples illustrate the performance and accuracy of our method compared to existing methods presented in the literature.
پژوهشگران	دومیترو بالینو (نفر پنجم)، حسین جعفری (نفر چهارم)، یعقوب آذری (نفر سوم)، حمید صفدری (نفر دوم)، یونس اسماعیل زاده اقدم (نفر اول)