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math.NA2012★ 66 cited
Polynomial Spectral collocation Method for Space Fractional Advection-Diffusion Equation
WenYi Tian, Weihua Deng, Yujiang Wu
This paper discusses the spectral collocation method for numerically solving nonlocal problems: one dimensional space fractional advection-diffusion equation; and two dimensional l…
math.NA2012★ 66 cited
Second order finite difference approximations for the two-dimensional time-space Caputo-Riesz fractional diffusion equation
Minghua Chen, Weihua Deng, Yujiang Wu
In this paper, we discuss the time-space Caputo-Riesz fractional diffusion equation with variable coefficients on a finite domain. The finite difference schemes for this equation a…