1403/01/10
شاهرخ اسمعیلی

شاهرخ اسمعیلی

مرتبه علمی: دانشیار
ارکید:
تحصیلات: دکترای تخصصی
اسکاپوس: 15834719000
دانشکده: دانشکده علوم پایه
نشانی: گروه ریاضی دانشگاه کردستان
تلفن: 08733624133

مشخصات پژوهش

عنوان
Solving 2D time-fractional diffusion equations by a pseudospectral method and Mittag-Leffler function evaluation
نوع پژوهش
JournalPaper
کلیدواژه‌ها
time-fractional diffusion equations, Mittag-Leffler function, pseudospectral method, differentiation matrix, matrix functions
سال
2017
مجله MATHEMATICAL METHODS IN THE APPLIED SCIENCES
شناسه DOI
پژوهشگران Shahrokh Esmaeili

چکیده

Two-dimensional time-fractional diffusion equations with given initial condition and homogeneous Dirichlet boundary conditions in a bounded domain are considered‎. ‎A semidiscrete approximation scheme based on the pseudospectral method to the time fractional diffusion equation leads to a system of ordinary fractional differential equations‎. ‎To preserve the high accuracy of the spectral approximation‎, ‎an approach based on the evaluation of the Mittag-Leffler function on matrix arguments is used for the integration along the time variable‎. ‎Some examples along with numerical experiments illustrate the effectiveness of the proposed approach‎.