Discrete monotone method for space-fractional nonlinear reaction-diffusion equations
DOI10.1186/s13662-019-2267-1zbMath1485.65093OpenAlexW2964869236MaRDI QIDQ2114329
Salvador Flores, Jorge Eduardo Macías-Díaz, Ahmed S. Hendy
Publication date: 15 March 2022
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13662-019-2267-1
existence and uniqueness of solutionsnumerical efficiency analysisCrank-Nicolson finite-difference schemediscrete monotone iterative methodspace-fractional diffusion-reaction equations
Reaction-diffusion equations (35K57) Fractional derivatives and integrals (26A33) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Novel second-order accurate implicit numerical methods for the Riesz space distributed-order advection-dispersion equations
- Monotone iterative technique for Riemann-Liouville fractional integro-differential equations with advanced arguments
- A deterministic model for the distribution of the stopping time in a stochastic equation and its numerical solution
- Monotone iterative technique for fractional evolution equations in Banach spaces
- A parallel monotone iterative method for the numerical solution of multi-dimensional semiconductor Poisson equation
- On the transmission of binary bits in discrete Josephson-junction arrays
- Fractional calculus in viscoelasticity: an experimental study
- Riesz potential operators and inverses via fractional centred derivatives
- An accelerated monotone iterative method for the quantum-corrected energy transport model
- Monotone iterative method for initial value problem involving Riemann-Liouville fractional derivatives
- Combined iterative methods for numerical solutions of parabolic problems with time delays
- M-matrix characterizations. I: nonsingular M-matrices
- Monotone iterative method for nonlinear fractional \(q\)-difference equations with integral boundary conditions
- Discrete fractional differences with nonsingular discrete Mittag-Leffler kernels
- On a new class of fractional operators
- A structure-preserving method for a class of nonlinear dissipative wave equations with Riesz space-fractional derivatives
- Fractional operators with exponential kernels and a Lyapunov type inequality
- A dynamically consistent method to solve nonlinear multidimensional advection-reaction equations with fractional diffusion
- Periodic boundary value problem for differential equations with delay and monotone iterative method
- A bounded and efficient scheme for multidimensional problems with anomalous convection and diffusion
- Numerical study of the process of nonlinear supratransmission in Riesz space-fractional sine-Gordon equations
- Persistence of nonlinear hysteresis in fractional models of Josephson transmission lines
- Numerical simulation of the nonlinear dynamics of harmonically driven Riesz-fractional extensions of the Fermi-Pasta-Ulam chains
- An explicit dissipation-preserving method for Riesz space-fractional nonlinear wave equations in multiple dimensions
- Numerical simulation of porous silicon morphology using a monotone iterative method
- A numerically efficient and conservative model for a Riesz space-fractional Klein-Gordon-Zakharov system
- Supratransmission in \(\beta\)-Fermi-Pasta-Ulam chains with different ranges of interactions
- Positive solutions of quasilinear parabolic systems with Dirichlet boundary condition
- Quasilinear parabolic and elliptic systems with mixed quasimonotone functions
- Fractional dynamics of systems with long-range interaction
- Monotone iterative method for first-order functional difference equations with nonlinear boundary value conditions
- The world of long-range interactions: A bird’s eye view
- Continuous limit of discrete systems with long-range interaction
- Numerical Analysis of Coupled Systems of Nonlinear Parabolic Equations
- Two characterizations of inverse-positive matrices: the Hawkins-Simon condition and the Le Chatelier-Braun principle
- Efficient time discretization scheme for nonlinear space fractional reaction–diffusion equations
- A Parabolic System Model for the Formation of Porous Silicon: Existence, Uniqueness, and Stability
- Existence and asymptotic behavior of solutions for quasilinear parabolic systems
This page was built for publication: Discrete monotone method for space-fractional nonlinear reaction-diffusion equations