Efficient preconditioner of one-sided space fractional diffusion equation
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DOI: 10.1007/s10543-018-0699-8
Abstract: In this paper, we propose an efficient preconditioner for the linear systems arising from the one-sided space fractional diffusion equation with variable coefficients. The shifted Gr$$\ddot{\mathrm{u}}$$u¨nwald formula is employed to discretize the one-sided Riemann–Liouville fractional… read more here.
Keywords: efficient preconditioner; fractional diffusion; one sided; sided space ... See more keywords
A Second-Order Accurate Numerical Approximation for a Two-Sided Space-Fractional Diffusion Equation
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DOI: 10.3390/math11081838
Abstract: In this paper, we investigate a practical numerical method for solving a one-dimensional two-sided space-fractional diffusion equation with variable coefficients in a finite domain, which is based on the classical Crank-Nicolson (CN) method combined with… read more here.
Keywords: fractional diffusion; space; space fractional; diffusion equation ... See more keywords