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

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
Published: International Scientific Publications and Consulting Services (ISPACS) 2017
Subjects:
QA1-939 Mathematics
Online Access:https://doi.org/10.5899/2017/jiasc-00117
https://doi.org/10.5899/2017/jiasc-00117
http://eprints.usm.my/38542/1/Crank%2DNicolson_finite_difference_method_for_two%2Ddimensional_fractional_sub%2Ddiffusion_equation.pdf

Internet

https://doi.org/10.5899/2017/jiasc-00117
https://doi.org/10.5899/2017/jiasc-00117
http://eprints.usm.my/38542/1/Crank%2DNicolson_finite_difference_method_for_two%2Ddimensional_fractional_sub%2Ddiffusion_equation.pdf

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