Explicit finite difference schemes with extended stability for advection equations
β Scribed by Andrei Bourchtein; Ludmila Bourchtein
- Book ID
- 113511662
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 404 KB
- Volume
- 236
- Category
- Article
- ISSN
- 0377-0427
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π SIMILAR VOLUMES
We extend previous work on nonstandard finite difference schemes for one-space dimension, nonlinear reaction-diffusion PDEs to the case where linear advection is included. The use of a positivity condition allows the determination of a functional relation between the time and space step-sizes, and p
We present several new finite-difference schemes that can be used to numerically integrate the time-dependent Schrodinger equation. These schemes are explicit and use an Euler-type expression for the discrete time derivative. However, the second-order space derivative is modeled by a novel form not