Numerical Solution of Space-Time-Fractional Reaction-Diffusion Equations via the Caputo and Riesz Derivatives
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Publication:5215342
DOI10.1007/978-3-030-12232-4_5zbMath1431.65100OpenAlexW2921022304MaRDI QIDQ5215342
Kolade M. Owolabi, Hemen Dutta
Publication date: 10 February 2020
Published in: Studies in Systems, Decision and Control (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-030-12232-4_5
numerical simulationRiesz fractional derivativeCaputo fractional derivativefractional reaction-diffusion equationsleft- and right-Riemann-Liouville fractional derivatives
Nonlinear systems in control theory (93C10) Fractional derivatives and integrals (26A33) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Numerical methods for initial value problems involving ordinary differential equations (65L05) Fractional ordinary differential equations (34A08) Fractional partial differential equations (35R11)
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Cites Work
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- Existence and permanence in a diffusive KiSS model with robust numerical simulations
- A Jacobi spectral collocation method for solving multi-dimensional nonlinear fractional sub-diffusion equations
- A note on fractional order derivatives and table of fractional derivatives of some special functions
- New numerical methods for the Riesz space fractional partial differential equations
- Matrix method for numerical solution of space-time fractional diffusion-wave equations with three space variables
- Fourier spectral methods for fractional-in-space reaction-diffusion equations
- Fractional calculus for scientists and engineers.
- Numerical simulations of chaotic and complex spatiotemporal patterns in fractional reaction-diffusion systems
- Fractional control of heat diffusion systems
- A second-order accurate numerical method for the two-dimensional fractional diffusion equation
- Riesz potential operators and inverses via fractional centred derivatives
- Fractional vector calculus and fractional Maxwell's equations
- Numerical methods for fractional partial differential equations with Riesz space fractional derivatives
- Matrix approach to discrete fractional calculus. II: Partial fractional differential equations
- 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
- Modeling diffusive transport with a fractional derivative without singular kernel
- Fractional Liénard type model of a pipeline within the fractional derivative without singular kernel
- An efficient parallel algorithm for Caputo fractional reaction-diffusion equation with implicit finite-difference method
- On some applications of the space-time fractional derivative
- Mathematical analysis and numerical simulation of two-component system with non-integer-order derivative in high dimensions
- Numerical approximation of nonlinear fractional parabolic differential equations with Caputo-Fabrizio derivative in Riemann-Liouville sense
- Mathematical modelling and analysis of two-component system with Caputo fractional derivative order
- The locally extrapolated exponential splitting scheme for multi-dimensional nonlinear space-fractional Schrödinger equations
- Analysis and application of new fractional Adams-Bashforth scheme with Caputo-Fabrizio derivative
- High-order algorithms for Riesz derivative and their applications. I.
- Generalized Lucas polynomial sequence approach for fractional differential equations
- Finite difference approximations for fractional advection-dispersion flow equations
- Jacobi collocation scheme for variable-order fractional reaction-subdiffusion equation
- Fifth-kind orthonormal Chebyshev polynomial solutions for fractional differential equations
- Robust and adaptive techniques for numerical simulation of nonlinear partial differential equations of fractional order
- Fourier spectral method for higher order space fractional reaction-diffusion equations
- Spectral solutions for differential and integral equations with varying coefficients using classical orthogonal polynomials
- Chaotic dynamics and synchronization of fractional-order Arneodo's systems
- A second-order accurate numerical approximation for the fractional diffusion equation
- On the finite difference approximation to the convection-diffusion equation
- A weighted finite difference method for the fractional diffusion equation based on the Riemann-Liouville derivative
- Finite difference methods for two-dimensional fractional dispersion equation
- Finite difference approximations for two-sided space-fractional partial differential equations
- Spectral Methods in MATLAB
- On exact traveling-wave solutions for local fractional Korteweg-de Vries equation
- Mathematical analysis and numerical simulation of chaotic noninteger order differential systems with Riemann‐Liouville derivative
- Stability of Ships with Water on Deck in Random Beam Waves
- Variational formulation for the stationary fractional advection dispersion equation
- Extrapolation to the Limit for Numerical Fractional Differentiation
- The random walk's guide to anomalous diffusion: A fractional dynamics approach
