Algorithm solution for space-fractional diffusion equations

Agus Sunarto, and Jumat Sulaiman, (2020) Algorithm solution for space-fractional diffusion equations. In: 3rd Nommensen International Conference on Technology and Engineering 2019 (3rd NICTE), 25-26 July 2019, Nommensen HKBP University, Indonesia.

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Abstract

In this study, we propose approximate algorithm solution of the space-fractional diffusion equation (SFDE's) based on a quarter-sweep (QS) implicit finite difference approximation equation. To derive this approximation equation, the Caputo's space-fractional derivative has been used to discretize the proposed problems. By using the Caputo's finite difference approximation equation, a linear system will be generated and solved iteratively. In addition to that, formulation and implementation algorithm the Quarter-Sweep AOR (QSAOR) iterative method are also presented. Based on numerical results of the proposed iterative method, it can be concluded that the proposed iterative method is superior to the FSAOR and HSAOR iterative method.

Item Type: Conference or Workshop Item (Paper)
Uncontrolled Keywords: Algorithm , spacefractional diffusion equation (SFDE’s) , equation
Subjects: T Technology > TK Electrical engineering. Electronics Nuclear engineering
Divisions: FACULTY > Faculty of Engineering
Depositing User: Noraini
Date Deposited: 01 Jul 2020 03:43
Last Modified: 01 Jul 2020 03:43
URI: http://eprints.ums.edu.my/id/eprint/25531

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