Exact and numerical stability analysis of reaction-diffusion equations with distributed delays
From MaRDI portal
Publication:256526
DOI10.1007/s11464-015-0506-7zbMath1332.65130OpenAlexW2188411566MaRDI QIDQ256526
Publication date: 9 March 2016
Published in: Frontiers of Mathematics in China (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11464-015-0506-7
Asymptotic behavior of solutions to PDEs (35B40) Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) Partial functional-differential equations (35R10) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)
Related Items (8)
Stability analysis of discontinuous Galerkin method for stiff Volterra functional differential equations ⋮ A linearized compact ADI scheme for semilinear parabolic problems with distributed delay ⋮ Linearized compact difference schemes applied to nonlinear variable coefficient parabolic equations with distributed delay ⋮ A class of one‐parameter alternating direction implicit methods for two‐dimensional wave equations with discrete and distributed time‐variable delays ⋮ Approximate analytical solution of the generalized Kolmogorov-Petrovsky-Piskunov equation with cubic nonlinearity ⋮ Unconditionally convergent and superconvergent finite element method for nonlinear time-fractional parabolic equations with distributed delay ⋮ The Implicit Multistep Block Method with An Off-step Point for Initial Value Problems of Neutral Delay Volterra Integro-differential Equations ⋮ A fully discrete \(\theta \)-method for solving semi-linear reaction-diffusion equations with time-variable delay
Cites Work
- Unnamed Item
- Unnamed Item
- Boundary value methods for Volterra integral and integro-differential equations
- Long time behavior of non-Fickian delay reaction-diffusion equations
- The spectral methods for parabolic Volterra integro-differential equations
- Dissipativity of Runge-Kutta methods for Volterra functional differential equations
- Convergence and stability of extended block boundary value methods for Volterra delay integro-differential equations
- Finite element methods for partial Volterra integro-differential equations on two-dimensional unbounded spatial domains
- Stability criteria for exact and discrete solutions of neutral multidelay-integro-differential equations
- Generalized Halanay inequalities for dissipativity of Volterra functional differential equations
- Analytical and numerical stability of neutral delay integro-differential equations and neutral delay partial differential equations
- Boundedness of weak solutions to evolutionary partial integro-differential equations with discontinuous coefficients
- Efficient solution of a partial integro-differential equation in finance
- Preserving stability implicit Euler method for nonlinear Volterra and neutral functional differential equations in Banach space
- Non-Fickian delay reaction-diffusion equations: theoretical and numerical study
- Nicholson's blowflies differential equations revisited: main results and open problems
- Dissipativity of Runge-Kutta methods for neutral delay differential equations with piecewise constant delay
- Delay-dependent stability of high order Runge-Kutta methods
- A review of theoretical and numerical analysis for nonlinear stiff Volterra functional differential equations
- Dissipativity of delay functional differential equations with bounded lag
- The method of lines for parabolic partial integro-differential equations
- Stability analysis of numerical methods for systems of functional-differential and functional equations.
- Theory and applications of partial functional differential equations
- A perspective on the numerical treatment of Volterra equations
- Existence and stability of fixed points for a discretised nonlinear reaction-diffusion equation with delay
- Dissipativity of \(\theta\)-methods for nonlinear Volterra delay-integro-differential equations
- Spectral collocation and waveform relaxation methods for nonlinear delay partial differential equations
- Asymptotic stability of numerical methods for linear delay parabolic differential equations
- Stability analysis of numerical methods for linear neutral Volterra delay-integro-differential system
- Dynamics for a type of general reaction-diffusion model
- Analyses of Spline Collocation Methods for Parabolic and Hyperbolic Problems in Two Space Variables
- On the Stability of Predictor-Corrector Methods for Parabolic Equations with Delay
- Finite element methods for parabolic and hyperbolic partial integro-differential equations
- Orthogonal Spline Collocation Methods for Some Partial Integrodifferential Equations
- Numerical solution of parabolic integro-differential equations by the discontinuous Galerkin method
- Waveform Relaxation for Functional-Differential Equations
- Stability analysis of Runge-Kutta methods for nonlinear Volterra delay-integro-differential equations
- Collocation Methods for Volterra Integral and Related Functional Differential Equations
- Linear stability of general linear methods for systems of neutral delay differential equations
This page was built for publication: Exact and numerical stability analysis of reaction-diffusion equations with distributed delays
