Crank-Nicolson finite difference method for two-dimensional fractional sub-diffusion equation

A Crank-Nicolson finite difference method is presented to solve the time fractional two-dimensional sub-diffusion equation in the case where the Gr¨unwald-Letnikov definition is used for the time-fractional derivative. The stability and convergence of the proposed Crank-Nicolson scheme are also an...

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Bibliographic Details
Main Authors: Ali, Umair, Abdullah, Farah Aini, Ismail, Ahmad Izani
Format: Article
Language:English
Published: International Scientific Publications and Consulting Services (ISPACS) 2017
Subjects:
Online Access:http://eprints.usm.my/38542/1/Crank-Nicolson_finite_difference_method_for_two-dimensional_fractional_sub-diffusion_equation.pdf
http://eprints.usm.my/38542/
https://doi.org/10.5899/2017/jiasc-00117
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Institution: Universiti Sains Malaysia
Language: English