مشخصات پژوهش

صفحه نخست /On numerical solution of the ...
عنوان On numerical solution of the time-fractional diffusion-wave equation with the fictitious time integration method
نوع پژوهش مقاله چاپ شده
کلیدواژه‌ها fictitious time integration method, time-fractional diffusion-wave equation, Group preserving scheme
چکیده In this work we offer a robust numerical algorithm based on the Lie group to solve the timefractional diffusion-wave (TFDW) equation. Firstly, we use a fictitious time variable $\xi$ to convert the related variable u(x, t) into a new space with one extra dimension. Then by using a composition of the group preserving scheme (GPS) and a semi-discretization of new variable, we approximate the solutions of the problem. Finally, various numerical experiments are performed to illustrate the power and accuracy of the given method.
پژوهشگران میر سجاد هاشمی (نفر اول)، mustafa Inc (نفر دوم)، محمد پرتو حقیقی (نفر سوم)، مصطفی بایرام (نفر چهارم)