Numerical analysis and pattern formation process for space-fractional superdiffusive systems (Q2319606)

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English	Numerical analysis and pattern formation process for space-fractional superdiffusive systems	scientific article

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instance of

scholarly article

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title

Numerical analysis and pattern formation process for space-fractional superdiffusive systems (English)

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author

Kolade M. Owolabi

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published in

Discrete and Continuous Dynamical Systems. Series S

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publication date

20 August 2019

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zbMATH Keywords

Crank-Nicholson Scheme

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fractional reaction-diffusion

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nonlinear PDEs

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numerical simulations

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spatiotemporal patterns

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describes a project that uses

ma2dfc

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.3934/dcdss.2019036

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cites work

Chua's circuit model with Atangana-Baleanu derivative with fractional order

0 references

Implicit-Explicit Methods for Time-Dependent Partial Differential Equations

0 references

A note on fractional derivatives and fractional powers of operators

0 references

On the stability and convergence of the time-fractional variable order telegraph equation

0 references

On the new fractional derivative and application to nonlinear Fisher's reaction-diffusion equation

0 references

Numerical approximation of the space-time Caputo-Fabrizio fractional derivative and application to groundwater pollution equation

0 references

Chaos in a simple nonlinear system with Atangana-Baleanu derivatives with fractional order

0 references

Invariant analysis of nonlinear fractional ordinary differential equations with Riemann-Liouville fractional derivative

0 references

A space-time Legendre spectral tau method for the two-sided space-time Caputo fractional diffusion-wave equation

0 references

A fully spectral collocation approximation for multi-dimensional fractional Schrödinger equations

0 references

A Jacobi spectral collocation method for solving multi-dimensional nonlinear fractional sub-diffusion equations

0 references

Fourier spectral methods for fractional-in-space reaction-diffusion equations

0 references

A multi-domain spectral method for time-fractional differential equations

0 references

Fractional diffusion equations by the Kansa method

0 references

Triple pendulum model involving fractional derivatives with different kernels

0 references

Exponential time differencing for stiff systems

0 references

Analytical solutions for the multi-term time-space fractional advection-diffusion equations with mixed boundary conditions

0 references

Modeling diffusive transport with a fractional derivative without singular kernel

0 references

Fractional Liénard type model of a pipeline within the fractional derivative without singular kernel

0 references

Legendre wavelets method for solving fractional partial differential equations with Dirichlet boundary conditions

0 references

Accurate Padé global approximations for the Mittag-Leffler function, its inverse, and its partial derivatives to efficiently compute convergent power series

0 references

Well-conditioned fractional collocation methods using fractional Birkhoff interpolation basis

0 references

Q5699297

0 references

A meshless method based on point interpolation method (PIM) for the space fractional diffusion equation

0 references

Convergence analysis of moving finite element methods for space fractional differential equations

0 references

Finite difference approximations for fractional advection-dispersion flow equations

0 references

Finite difference approximations for two-sided space-fractional partial differential equations

0 references

Mathematical biology. Vol. 1: An introduction.

0 references

Q4221182

0 references

A multi-step differential transform method and application to non-chaotic or chaotic systems

0 references

Q3856484

0 references

Higher-order time-stepping methods for time-dependent reaction-diffusion equations arising in biology

0 references

Numerical solution of singular patterns in one-dimensional Gray-Scott-like models

0 references

Robust IMEX schemes for solving two-dimensional reaction-diffusion models

0 references

Mathematical analysis and numerical simulation of patterns in fractional and classical reaction-diffusion systems

0 references

Mathematical study of two-variable systems with adaptive numerical methods

0 references

Mathematical study of multispecies dynamics modeling predator-prey spatial interactions

0 references

Solution of pattern waves for diffusive Fisher-like non-linear equations with adaptive methods

0 references

Robust and adaptive techniques for numerical simulation of nonlinear partial differential equations of fractional order

0 references

An analytic algorithm for the space-time fractional advection-dispersion equation

0 references

Strategy and stationary pattern in a three-species predator--prey model

0 references

Non-constant positive steady states of a predator-prey system with non-monotonic functional response and diffusion

0 references

Fourier spectral method for higher order space fractional reaction-diffusion equations

0 references

Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications

0 references

Matrix approach to discrete fractional calculus. II: Partial fractional differential equations

0 references

Analytical solution for the space fractional diffusion equation by two-step Adomian decomposition method

0 references

Some Problems in Fourier Analysis and Approximation Theory

0 references

Turing instabilities in general systems

0 references

Modelling heat transfer in heterogeneous media using fractional calculus

0 references

A weighted finite difference method for the fractional diffusion equation based on the Riemann-Liouville derivative

0 references

A class of second order difference approximations for solving space fractional diffusion equations

0 references

Stationary patterns for a prey-predator model with prey-dependent and ratio-dependent functional responses and diffusion

0 references

Fast alternating-direction finite difference methods for three-dimensional space-fractional diffusion equations

0 references

Numerical Algorithms for Time-Fractional Subdiffusion Equation with Second-Order Accuracy

0 references

A Crank--Nicolson ADI Spectral Method for a Two-Dimensional Riesz Space Fractional Nonlinear Reaction-Diffusion Equation

0 references

A Novel High Order Space-Time Spectral Method for the Time Fractional Fokker--Planck Equation

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Basic Theory of Fractional Differential Equations

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Identifiers

zbMATH Open document ID

1418.65075

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DOI

10.3934/dcdss.2019036

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:2319606