ALGORITHMS FOR NUMERICAL SOLVING OF 2D ANOMALOUS DIFFUSION PROBLEMS
| Autor: | Natalie Romanova, Natalia Abrashina-Zhadaeva |
|---|---|
| Rok vydání: | 2012 |
| Předmět: |
Diffusion equation
Partial differential equation Anomalous diffusion Differential equation Mathematical analysis Finite volume method for one-dimensional steady state diffusion Parabolic partial differential equation Stochastic differential equation subdiffusion process Modeling and Simulation fractional order differential equation QA1-939 Convection–diffusion equation Mathematics Analysis |
| Zdroj: | Mathematical Modelling and Analysis; Vol 17 No 3 (2012); 447-455 Mathematical Modelling and Analysis, Vol 17, Iss 3 (2012) |
| ISSN: | 1648-3510 1392-6292 |
| DOI: | 10.3846/13926292.2012.686123 |
| Popis: | Fractional analog of the reaction diffusion equation is used to model the subdiffusion process. Diffusion equation with fractional Riemann–Liouville operator is analyzed in this paper. We offer finite-difference methods that can be used to solve the initial-boundary value problems for some time-fractional order differential equations. Stability and convergence theorems are proved. |
| Databáze: | OpenAIRE |
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