Dynamical behavior of reaction-diffusion neural networks and their synchronization arising in modeling epileptic seizure: a numerical simulation study
From MaRDI portal
Publication:2210614
DOI10.1016/j.camwa.2020.08.020zbMath1453.92078OpenAlexW3084011189MaRDI QIDQ2210614
Publication date: 7 November 2020
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2020.08.020
Neural networks for/in biological studies, artificial life and related topics (92B20) Biological rhythms and synchronization (92B25) Pathology, pathophysiology (92C32)
Related Items (4)
Least squares support vector regression for differential equations on unbounded domains ⋮ Fixed-time periodic stabilization of discontinuous reaction-diffusion Cohen-Grossberg neural networks ⋮ An efficient operator-splitting radial basis function-generated finite difference (RBF-FD) scheme for image noise removal based on nonlinear total variation models ⋮ A time-splitting local meshfree approach for time-fractional anisotropic diffusion equation: application in image denoising
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A spectral element method for solving the Pennes bioheat transfer equation by using triangular and quadrilateral elements
- Exponentially accurate spectral and spectral element methods for fractional ODEs
- High-order spectral/\(hp\) element discretisation for reaction-diffusion problems on surfaces: application to cardiac electrophysiology
- A Legendre spectral element method on a large spatial domain to solve the predator-prey system modeling interacting populations
- Local error estimates for adaptive simulation of the reaction-diffusion master equation via operator splitting
- Mixed spectral/\(hp\) element formulation for nonlinear elasticity
- A hybrid spectral/DG method for solving the phase-averaged ocean wave equation: algorithm and validation
- Numerical solution of Burgers' equation with high order splitting methods
- Using spectral element method to solve variational inequalities with applications in finance
- The evaluation of American options in a stochastic volatility model with jumps: an efficient finite element approach
- A compact split-step finite difference method for solving the nonlinear Schrödinger equations with constant and variable coefficients
- Fourth-order Runge-Kutta schemes for fluid mechanics applications
- Time-dependent simulations of quantum waveguides using a time-splitting spectral method
- Improved accuracy for time-splitting methods for the numerical solution of parabolic equations
- Synchronization and control of coupled reaction-diffusion systems of the FitzHugh-Nagumo type
- A spectral element method for fluid dynamics: Laminar flow in a channel expansion
- Soliton solutions for the Fitzhugh-Nagumo equation with the homotopy analysis method
- Operator splitting methods for pricing American options under stochastic volatility
- Splitting methods for partial differential equations with rough solutions. Analysis and Matlab programs
- Pseudospectral method of solution of the Fitzhugh-Nagumo equation
- Stability of operator splitting methods for systems with indefinite operators: Advection-diffusion-reaction systems
- Mathematical biology. Vol. 1: An introduction.
- A second order operator splitting method for Allen-Cahn type equations with nonlinear source terms
- Legendre-Galerkin spectral-element method for the biharmonic equations and its applications
- Legendre spectral element method for solving sine-Gordon equation
- Modal spectral element method in curvilinear domains
- Global attractor of complex networks of reaction-diffusion systems of Fitzhugh-Nagumo type
- Stability of operator splitting methods for systems with indefinite operators: Reaction-diffusion systems
- A new spectral element method for pricing European options under the Black-Scholes and Merton jump diffusion models
- Multi-domain spectral collocation method for variable-order nonlinear fractional differential equations
- An efficient implicit spectral element method for time-dependent nonlinear diffusion equations by evaluating integrals at one quadrature point
- Alternating direction implicit-spectral element method (ADI-SEM) for solving multi-dimensional generalized modified anomalous sub-diffusion equation
- The effect of network structure on desynchronization dynamics
- High-order splitting methods for separable non-autonomous parabolic equations
- Legendre spectral element method for solving time fractional modified anomalous sub-diffusion equation
- A \(hk\) mortar spectral element method for the \(p\)-Laplacian equation
- A Petrov-Galerkin spectral element method for fractional elliptic problems
- Spectral element technique for nonlinear fractional evolution equation, stability and convergence analysis
- The tanh-coth method for solitons and kink solutions for nonlinear parabolic equations
- Avoiding order reduction when integrating reaction-diffusion boundary value problems with exponential splitting methods
- Splitting Methods in Communication, Imaging, Science, and Engineering
- Mixed two-grid finite difference methods for solving one-dimensional and two-dimensional Fitzhugh-Nagumo equations
- Pseudospectral methods for Nagumo equation
- The Numerical Solution of Parabolic and Elliptic Differential Equations
- Spectral Methods for Time-Dependent Problems
- Implementing Spectral Methods for Partial Differential Equations
- Large time behaviour and synchronization of complex networks of reaction–diffusion systems of FitzHugh–Nagumo type
- Spectral and Discontinuous Spectral Element Methods for Fractional Delay Equations
- A spectral element method using the modal basis and its application in solving second‐order nonlinear partial differential equations
- Spectral Methods
- Numerical solution of fractional differential equations with a Tau method based on Legendre and Bernstein polynomials
- Spectral Methods
- Spectral/hp Element Methods for Computational Fluid Dynamics
This page was built for publication: Dynamical behavior of reaction-diffusion neural networks and their synchronization arising in modeling epileptic seizure: a numerical simulation study