Fractional Sturm-Liouville eigen-problems: Theory and numerical approximation
By Mohsen Zayernouri, G. Em Karniadakis. Journal of Computational Physics, 2013
316 citations recorded by the source corpus.
Subfields: Applied Mathematics, Mathematical Physics, Modeling and Simulation
View Paper: https://www.semanticscholar.org/paper/0b228c85b8218cd0c06a2fe41fe36cda93bef977
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In Applied Mathematics
- Francesco Mainardi
- Virginia S. Kiryakova
- Zhiping Mao
- Sheng Chen
- Mark Ainsworth
- Jie Shen
- Tenreiro Machado
- G. Em Karniadakis
In Mathematical Physics
- Zhiping Mao
- Virginia S. Kiryakova
- Francesco Mainardi
- Sheng Chen
- Tenreiro Machado
- Jie Shen
- Mark Ainsworth
- G. Em Karniadakis
In Modeling and Simulation
- Virginia S. Kiryakova
- Francesco Mainardi
- G. Em Karniadakis
- Mohsen Zayernouri
- Zhiping Mao
- Mark Ainsworth
- Tenreiro Machado
- Jie Shen
Citations in the corpus
- A unified Petrov-Galerkin spectral method for fractional PDEs (2015, methodology): “We develop the PG method based on a new spectral theory for fractional Sturm–Liouville problems (FSLPs), recently introduced in Zayernouri and Karniadakis (2013).”
- Fractional Calculus: Quo Vadimus? (Where are we Going?) (2015, methodology): “At Brown University, we have been active in developing a new class of spectral methods for FPDEs based on hierarchical and orthogonal poly-fractonomial bases [120].”
- Efficient and accurate spectral method using generalized Jacobi functions for solving Riesz fractional differential equations (2016, methodology): “Recently, some efficient spectral/spectral-element DG methods for a class of one-dimensional FDEs with one-sided fractional derivatives have been proposed in [24,25] by using eigenfunctions of fractional Sturm–Liouville problems as basis functions.”