Fourier spectral methods for fractional-in-space reaction-diffusion equations
By Alfonso Bueno-Orovio, David A. Kay, Kevin Burrage. 2014
358 citations recorded by the source corpus.
Subfields: Applied Mathematics, Modeling and Simulation, Numerical Analysis
View Paper: https://www.semanticscholar.org/paper/ba5d22f94bcf267a88d3f097d7b95f499c025c15
How researchers see this paper
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In Applied Mathematics
- Changpin Li
- Ian L Turner
- Fawang Liu
- Fanhai Zeng
- Vo Anh
- Yadollah Ordokhani
- Parisa Rahimkhani
- Kevin Burrage
In Modeling and Simulation
- Changpin Li
- Fawang Liu
- Ian L Turner
- Vo Anh
- Fanhai Zeng
- Parisa Rahimkhani
- Kevin Burrage
- Yadollah Ordokhani
In Numerical Analysis
- Changpin Li
- Fawang Liu
- Ian L Turner
- Vo Anh
- Fanhai Zeng
- Parisa Rahimkhani
- Kevin Burrage
- Yadollah Ordokhani
Citations in the corpus
- A Crank-Nicolson ADI Spectral Method for a Two-Dimensional Riesz Space Fractional Nonlinear Reaction-Diffusion Equation (2014, methodology): “Bueno-Orovio, Kay, and Burrage [3] proposed a fundamental rethinking of the homogenization approach via the use of a fractional Fick’s law (see [24, 27]) and, in particular, we introduce a fractional FitzHugh– Nagumo monodomain model in which we capture the spatial heterogeneities and spatial connec”
- A numerical scheme based on Bernoulli wavelets and collocation method for solving fractional partial differential equations with Dirichlet boundary conditions (2018, methodology): “[24] have considered the use of Fourier spectral methods for fractional-in-space reaction-diffusion equations.”