Implicit finite difference solution for time-fractional diffusion equations using AOR method

• Main Authors: A. Sunarto, Sulaiman J., Azali Saudi
• Format: Article
• Language: English; English
• Published: Institute of Physics Publishing 2014
• Subjects: QA Mathematics
• Online Access: https://eprints.ums.edu.my/id/eprint/21449/1/Implicit%20finite%20difference%20solution%20for%20time-fractional%20diffusion%20equations%20using%20AOR%20method.pdf; https://eprints.ums.edu.my/id/eprint/21449/7/Implicit%20finite%20difference%20solution%20for%20time-fractional%20diffusion%20equations%20using%20AOR%20method.pdf; https://eprints.ums.edu.my/id/eprint/21449/; https://doi:10.1088/1742-6596/495/1/012032

In this paper, we derive an implicit finite difference approximation equation of the one-dimensional linear time fractional diffusion equations, based on the Caputo's time fractional derivative. Then this approximation equation leads the corresponding system of linear equation, which is large s...