A second-order accurate numerical method for the two-dimensional fractional diffusion equation
✍ Scribed by Charles Tadjeran; Mark M. Meerschaert
- Book ID
- 108164065
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 224 KB
- Volume
- 220
- Category
- Article
- ISSN
- 0021-9991
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
Conventional numerical methods for solving differential equations on a two-dimensional mesh are adapted to solving the one-group pile equation. The method yields the neutron density and the radial Laplacian in a standard manner which is not dependent on the number of control rods or other lattice ir
## Abstract We present a new two‐step temporal discretization of the diffusion equation, which is formally second‐order‐accurate and unconditionally stable. A novel aspect of the scheme is that it is monotonically damping: the damping rate is a monotonically‐increasing function of the diffusion coe
## Abstract In this article, a Crank‐Nicolson‐type finite difference scheme for the two‐dimensional Burgers' system is presented. The existence of the difference solution is shown by Brouwer fixed‐point theorem. The uniqueness of the difference solution and the stability and __L__~2~ convergence of
The space-time conservation element and solution element (CE-SE) scheme is a method that improves the well-established methods, like finite differences or finite elements: the integral form of the problem exploits the physical properties of conservation of flow, unlike the differential form. Also, t