عنوان
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On numerical solution of the time-fractional diffusion-wave equation with the fictitious time integration method
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نوع پژوهش
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مقاله چاپ شده
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کلیدواژهها
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fictitious time integration method, time-fractional diffusion-wave equation, Group preserving scheme
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چکیده
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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.
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پژوهشگران
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میر سجاد هاشمی (نفر اول)، mustafa Inc (نفر دوم)، محمد پرتو حقیقی (نفر سوم)، مصطفی بایرام (نفر چهارم)
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