Numerical computations for the solution of time-fractional diffusion equation with a distributed-order Riemann-Liouville derivative

سال انتشار: 1398
نوع سند: مقاله کنفرانسی
زبان: انگلیسی
مشاهده: 464

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شناسه ملی سند علمی:

CSCG03_073

تاریخ نمایه سازی: 14 فروردین 1399

چکیده مقاله:

In this paper, a nonlinear distributed order Riemann Liouville time fractional diffusion equation is analyzed. We use finite difference schemes to approximate the integer order derivatives and a series approximation for the time fractional derivative to achieve an implicit numerical method. The stability and convergence of the proposed implicit method are considered where show a linear order convergence in time and a second order convergence in space. These theoretical results are in agreement with the computations of the numerical approximations. In the computation experiments, different linear and nonlinear examples are examined where the computed errors show the efficiency of the scheme.

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نویسندگان

Atefeh Soleimanzadeh

Department of Mathematics, Faculty of Science, Urmia University, Urmia, Iran;

Esmaeil Najafi

Department of Mathematics, Faculty of Science, Urmia University, Urmia, Iran;