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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Main Authors: Ali, Umair, Abdullah, Farah Aini, Ismail, Ahmad Izani
Format: Article
Language:English
Published: International Scientific Publications and Consulting Services (ISPACS) 2017
Subjects:
QA1-939 Mathematics
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
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spelling my.usm.eprints.38542 http://eprints.usm.my/38542/ Crank-Nicolson finite difference method for two-dimensional fractional sub-diffusion equation Ali, Umair Abdullah, Farah Aini Ismail, Ahmad Izani QA1-939 Mathematics 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 analyzed. Finally, numerical examples are presented to test that the numerical scheme is accurate and feasible. International Scientific Publications and Consulting Services (ISPACS) 2017 Article PeerReviewed application/pdf en http://eprints.usm.my/38542/1/Crank-Nicolson_finite_difference_method_for_two-dimensional_fractional_sub-diffusion_equation.pdf Ali, Umair and Abdullah, Farah Aini and Ismail, Ahmad Izani (2017) Crank-Nicolson finite difference method for two-dimensional fractional sub-diffusion equation. Journal of Interpolation and Approximation in Scientific Computing, 2017 (2). pp. 18-29. ISSN 2194-3907 https://doi.org/10.5899/2017/jiasc-00117
institution Universiti Sains Malaysia
building Hamzah Sendut Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Sains Malaysia
content_source USM Institutional Repository
url_provider http://eprints.usm.my/
language English
topic QA1-939 Mathematics
spellingShingle QA1-939 Mathematics
Ali, Umair
Abdullah, Farah Aini
Ismail, Ahmad Izani
Crank-Nicolson finite difference method for two-dimensional fractional sub-diffusion equation
description 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 analyzed. Finally, numerical examples are presented to test that the numerical scheme is accurate and feasible.
format Article
author Ali, Umair
Abdullah, Farah Aini
Ismail, Ahmad Izani
author_facet Ali, Umair
Abdullah, Farah Aini
Ismail, Ahmad Izani
author_sort Ali, Umair
title Crank-Nicolson finite difference method for two-dimensional fractional sub-diffusion equation
title_short Crank-Nicolson finite difference method for two-dimensional fractional sub-diffusion equation
title_full Crank-Nicolson finite difference method for two-dimensional fractional sub-diffusion equation
title_fullStr Crank-Nicolson finite difference method for two-dimensional fractional sub-diffusion equation
title_full_unstemmed Crank-Nicolson finite difference method for two-dimensional fractional sub-diffusion equation
title_sort crank-nicolson finite difference method for two-dimensional fractional sub-diffusion equation
publisher International Scientific Publications and Consulting Services (ISPACS)
publishDate 2017
url 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
_version_ 1643709388340330496

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