A space-fractional-reaction-diffusion model for pattern formation in coral reefs
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Publication:5193224
DOI10.1080/23311835.2018.1426524zbMath1426.92007OpenAlexW2786705289MaRDI QIDQ5193224
Kevin Burrage, L. W. Somathilake
Publication date: 10 September 2019
Published in: Cogent Mathematics & Statistics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/23311835.2018.1426524
Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Developmental biology, pattern formation (92C15) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Fractional partial differential equations (35R11)
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Cites Work
- Fourier spectral methods for fractional-in-space reaction-diffusion equations
- On the solutions of time-fractional reaction-diffusion equations
- Numerical methods for fractional partial differential equations with Riesz space fractional derivatives
- Mathematical biology. Vol. 2: Spatial models and biomedical applications.
- Models of coral growth: spontaneous branching, compactification and the Laplacian growth assumption
- Fourier spectral method for higher order space fractional reaction-diffusion equations
- Non-existence of global solutions to a system of fractional diffusion equations
- On reflecting boundary conditions for space-fractional equations on a finite interval: proof of the matrix transfer technique
- Existence results for fractional order functional differential equations with infinite delay
- An Efficient Implicit FEM Scheme for Fractional-in-Space Reaction-Diffusion Equations
- Numerical Methods for the Variable-Order Fractional Advection-Diffusion Equation with a Nonlinear Source Term
- Solving linear and non-linear space-time fractional reaction-diffusion equations by the Adomian decomposition method
- Generalized viscoelastic models: their fractional equations with solutions
- The chemical basis of morphogenesis
- A class of second order difference approximations for solving space fractional diffusion equations
- Advances in Fractional Calculus
- Spectral smoothed boundary methods: The role of external boundary conditions
- The random walk's guide to anomalous diffusion: A fractional dynamics approach
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