A Second-Order Accurate Numerical Approximation for a Two-Sided Space-Fractional Diffusion Equation

نویسندگان

چکیده

In this paper, we investigate a practical numerical method for solving one-dimensional two-sided space-fractional diffusion equation with variable coefficients in finite domain, which is based on the classical Crank-Nicolson (CN) combined Richardson extrapolation. Second-order exact estimates time and space are obtained. The unconditional stability convergence of tested. Two examples also presented compared solution.

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ژورنال

عنوان ژورنال: Mathematics

سال: 2023

ISSN: ['2227-7390']

DOI: https://doi.org/10.3390/math11081838