Crank–Nicolson method for the fractional diffusion equation with the Riesz fractional derivative
✍ Scribed by Cem Çelik; Melda Duman
- Book ID
- 113695218
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 263 KB
- Volume
- 231
- Category
- Article
- ISSN
- 0021-9991
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📜 SIMILAR VOLUMES
High-order compact finite difference scheme for solving one-dimensional fractional diffusion equation is considered in this paper. After approximating the second-order derivative with respect to space by the compact finite difference, we use the Grünwald-Letnikov discretization of the Riemann-Liouvi
In this paper, a fractional partial differential equation (FPDE) describing sub-diffusion is considered. An implicit difference approximation scheme (IDAS) for solving a FPDE is presented. We propose a Fourier method for analyzing the stability and convergence of the IDAS, derive the global accuracy