𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A new fractional finite volume method for solving the fractional diffusion equation

✍ Scribed by Liu, F.; Zhuang, P.; Turner, I.; Burrage, K.; Anh, V.

Book ID
121457057
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
830 KB
Volume
38
Category
Article
ISSN
0307-904X

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Compact finite difference method for the
Compact finite difference method for the fractional diffusion equation
✍ Mingrong Cui πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 606 KB

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 GrΓΌnwald-Letnikov discretization of the Riemann-Liouvi

Homotopy analysis method for solving lin
Homotopy analysis method for solving linear and nonlinear fractional diffusion-wave equation
✍ H. Jafari; S. Seifi πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 196 KB

In this paper, we adopt the homotopy analysis method (HAM) to obtain solutions of linear and nonlinear fractional diffusion and wave equation. The fractional derivative is described in the Caputo sense. Some illustrative examples are presented.

A Fourier method for the fractional diff
A Fourier method for the fractional diffusion equation describing sub-diffusion
✍ Chang-Ming Chen; F. Liu; I. Turner; V. Anh πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 224 KB

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