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Second-order numerical methods for multi-term fractional differential equations: Smooth and non-smooth solutions

Fanhai Zeng, Zhongqiang Zhang, George Em Karniadakis

Computer Methods in Applied Mechanics and Engineering · 2017 · 134 citations · 52 references

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52

Numerical approximation of partial differential equations

Alfio Quarteroni, Alberto Valli · Mathematics and Computers in Simulation · 1987 · 1.9K citations · Full text

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Finite difference/spectral approximations for the time-fractional diffusion equation

Yumin Lin, Chuanju Xu · Journal of Computational Physics · 2007 · 1.8K citations

, , +14

Finite difference approximations for fractional advection–dispersion flow equations

Mark M. Meerschaert, Charles Tadjeran · Journal of Computational and Applied Mathematics · 2004 · 1.5K citations

, , +9

Detailed Error Analysis for a Fractional Adams Method

Kai Diethelm, Neville J. Ford, Alan D. Freed · Numerical Algorithms · 2004 · 1K citations

, , +14

Discretized Fractional Calculus

Ch. Lubich · SIAM Journal on Mathematical Analysis · 1986 · 979 citations

, , +15