Chiang Mai Journal of Science

Solving large systems arising from fractional model by preconditioned methods

Paper Type	Contributed Paper
Title	Solving large systems arising from fractional model by preconditioned methods
Author	Reza Khoshsiar Ghaziani, Mojtaba Fardi and Mehdi Ghasemi
Email	Rkhoshsiar@gmail.com
Abstract: This study develops and analyzes preconditioned Krylov subspace methods for solving discretization of the time-independent space-fractional models. First we apply a shifted Grunwald  formulas to obtain a stable finite difference approximation to fractional advection-diffusion equations. Then, we apply two preconditioned iterative methods, namely, the preconditioned generalized minimal residual (preconditioned GMRES) method and the preconditioned conjugate gradient for normal residual (preconditioned CGN) method, to solve the corresponding discritized systems. We make comparisons between the preconditioners commonly used in the parallelization of the preconditioned Krylov subspace methods. The results suggest that preconditioning technique is a promising candidate for solving large-scale linear systems arising from fractional models.
Start & End Page	1769 - 1780
Received Date	2015-03-20
Revised Date
Accepted Date	2016-09-26
Full Text	Download
Keyword	Krylov subspace methods, Preconditioning techniques, Fractional model, Linear systems
Volume	Vol.44 No.4 (October 2017)
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