Journal of scientific computing, 2021-03, Vol.86 (3), p.29, Article 29
2021
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- Autor(en) / Beteiligte
- Titel
- Optimal Petrov–Galerkin Spectral Approximation Method for the Fractional Diffusion, Advection, Reaction Equation on a Bounded Interval
- Ist Teil von
- Journal of scientific computing, 2021-03, Vol.86 (3), p.29, Article 29
- Ort / Verlag
- New York: Springer US
- Erscheinungsjahr
- 2021
- Quelle
- Alma/SFX Local Collection
- Beschreibungen/Notizen
- In this paper we investigate the numerical approximation of the fractional diffusion, advection, reaction equation on a bounded interval. Recently the explicit form of the solution to this equation was obtained. Using the explicit form of the boundary behavior of the solution and Jacobi polynomials, a Petrov–Galerkin approximation scheme is proposed and analyzed. Numerical experiments are presented which support the theoretical results, and demonstrate the accuracy and optimal convergence of the approximation method.
- Sprache
- Englisch
- Identifikatoren
- ISSN: 0885-7474eISSN: 1573-7691DOI: 10.1007/s10915-020-01366-yTitel-ID: cdi_proquest_journals_2918314578
- Format
- –
- Schlagworte
- Advection, Algorithms, Approximation, Computational Mathematics and Numerical Analysis, Galerkin method, Mathematical analysis, Mathematical and Computational Engineering, Mathematical and Computational Physics, Mathematics, Mathematics and Statistics, Methods, Polynomials, Theoretical