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
کلیدواژهها
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;
شیوه ارجاع
Soleimanzadeh, Atefeh and Najafi, Esmaeil,1398,Numerical computations for the solution of time-fractional diffusion equation with a distributed-order Riemann-Liouville derivative,3rd International Conference on Soft Computing,Rudsar
ارائهشده در
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