Dynamics of pattern formation process in fractional-order super-diffusive processes: a computational approach
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Publication:2100275
DOI10.1007/s00500-021-05885-0zbMath1498.92005OpenAlexW3165737602MaRDI QIDQ2100275
Berat Karaagac, Kolade M. Owolabi, Dumitru Baleanu
Publication date: 21 November 2022
Published in: Soft Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00500-021-05885-0
Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Developmental biology, pattern formation (92C15) Computational methods for problems pertaining to biology (92-08)
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Cites Work
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- Higher-order time-stepping methods for time-dependent reaction-diffusion equations arising in biology
- Generalized exponential time differencing methods for fractional order problems
- Exponential time differencing for stiff systems
- Generalized integrating factor methods for stiff PDEs
- A second-order accurate numerical method for the two-dimensional fractional diffusion equation
- Reaction and diffusion on growing domains: scenarios for robust pattern formation
- Turing patterns in a modified Lotka-Volterra model
- Numerical solutions for fractional reaction-diffusion equations
- Numerical algorithm based on Adomian decomposition for fractional differential equations
- The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
- Excitable population dynamics, biological control failure, and spatiotemporal pattern formation in a model ecosystem
- Application of he's homotopy perturbation method for solving the Cauchy reaction-diffusion problem
- Spatiotemporal pattern formation in a diffusive predator-prey system: An analytical approach
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- An algorithm for the numerical solution of differential equations of fractional order
- Wave of chaos: New mechanism of pattern formation in spatio-temporal population dynamics.
- A minimal model of pattern formation in a prey-predator system
- Mathematical biology. Vol. 1: An introduction.
- Mathematical biology. Vol. 2: Spatial models and biomedical applications.
- Mode-doubling and tripling in reaction-diffusion patterns on growing domains: a piecewise linear model
- Robust IMEX schemes for solving two-dimensional reaction-diffusion models
- Numerical solution of singular patterns in one-dimensional Gray-Scott-like models
- A predictor-corrector approach for the numerical solution of fractional differential equations
- Order and chaos in a food web consisting of a predator and two independent preys
- Robust and adaptive techniques for numerical simulation of nonlinear partial differential equations of fractional order
- High-dimensional spatial patterns in fractional reaction-diffusion system arising in biology
- Dynamics of multi-pulse splitting process in one-dimensional Gray-Scott system with fractional order operator
- Computational study of multi-species fractional reaction-diffusion system with ABC operator
- Chaotic and spatiotemporal oscillations in fractional reaction-diffusion system
- A modified analytical approach with existence and uniqueness for fractional Cauchy reaction-diffusion equations
- Fourier spectral method for higher order space fractional reaction-diffusion equations
- Mathematical modelling of pattern formation in activator-inhibitor reaction-diffusion systems with anomalous diffusion
- Mathematical analysis and numerical simulation of patterns in fractional and classical reaction-diffusion systems
- Finite-difference schemes for reaction-diffusion equations modeling predator-prey interactions in MATLAB
- Fractional reproduction-dispersal equations and heavy tail dispersal kernels
- Finite difference methods for two-dimensional fractional dispersion equation
- Finite difference approximations for two-sided space-fractional partial differential equations
- Existence of Turing Instabilities in a Two-Species Fractional Reaction-Diffusion System
- Mathematical study of two-variable systems with adaptive numerical methods
- Pattern Formation
- Spatial Ecology via Reaction‐Diffusion Equations
- Spatiotemporal dynamics of two generic predator–prey models
- The chemical basis of morphogenesis
- A space-fractional-reaction-diffusion model for pattern formation in coral reefs
- Numerical Methods for Fractional Differentiation
- Fourth-Order Time-Stepping for Stiff PDEs
- Turing instabilities in general systems
- Diffusive waves, dynamical stabilization and spatio-temporal chaos in a community of three competitive species
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