Numerical Solutions and Pattern Formation Process in Fractional Diffusion-Like Equations
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Publication:5114514
DOI10.1007/978-3-030-11662-0_12zbMath1436.65109OpenAlexW2913366778MaRDI QIDQ5114514
Publication date: 24 June 2020
Published in: Studies in Systems, Decision and Control (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-030-11662-0_12
Reaction-diffusion equations (35K57) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Fractional partial differential equations (35R11)
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Cites Work
- Unnamed Item
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- Higher-order time-stepping methods for time-dependent reaction-diffusion equations arising in biology
- Analytical solutions for the multi-term time-fractional diffusion-wave/diffusion equations in a finite domain
- Fourier spectral methods for fractional-in-space reaction-diffusion equations
- Chaos in a simple nonlinear system with Atangana-Baleanu derivatives with fractional order
- Fractional calculus for scientists and engineers.
- The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Mathematical biology. Vol. 2: Spatial models and biomedical applications.
- Robust IMEX schemes for solving two-dimensional reaction-diffusion models
- Solution of pattern waves for diffusive Fisher-like non-linear equations with adaptive methods
- Hyperchaotic behaviour obtained via a nonlocal operator with exponential decay and Mittag-Leffler laws
- Mathematical modelling and analysis of two-component system with Caputo fractional derivative order
- Analysis and application of new fractional Adams-Bashforth scheme with Caputo-Fabrizio derivative
- Numerical solution of singular patterns in one-dimensional Gray-Scott-like models
- Extinction for a discrete competition system with the effect of toxic substances
- Fractional derivatives with no-index law property: application to chaos and statistics
- Robust and adaptive techniques for numerical simulation of nonlinear partial differential equations of fractional order
- Synchronization of chaotic systems involving fractional operators of Liouville-Caputo type with variable-order
- A numerical solution for a variable-order reaction-diffusion model by using fractional derivatives with non-local and non-singular kernel
- Modeling the dynamics of nutrient-phytoplankton-zooplankton system with variable-order fractional derivatives
- On the solutions of fractional-time wave equation with memory effect involving operators with regular kernel
- Numerical solution of time fractional diffusion systems
- Mathematical analysis and numerical simulation of patterns in fractional and classical reaction-diffusion systems
- The solution of the time-fractional diffusion equation by the generalized differential transform method
- Classroom Note:Calculation of Weights in Finite Difference Formulas
- New numerical approach for fractional differential equations
- Retracted: New two step Laplace Adam‐Bashforth method for integer a noninteger order partial differential equations
- Fourth-Order Time-Stepping for Stiff PDEs