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- W174539240 abstract "A one dimensional fractional diffusion model is considered, where the usual second-order derivative gives place to a fractional derivative of order α, with 1 < α ≤ 2. We consider the Caputo derivative as the space derivative, which is a form of representing the fractional derivative by an integral operator. The numerical solution is derived using Crank-Nicolson method in time combined with a spline approximation for the Caputo derivative in space. Consistency and convergence of the method is examined and numerical results are presented." @default.
- W174539240 created "2016-06-24" @default.
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- W174539240 date "2009-01-01" @default.
- W174539240 modified "2023-10-04" @default.
- W174539240 title "Numerical approximation for the fractional diffusion equation via splines" @default.
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