Compact \(\theta \)-method for the generalized delay diffusion equation
From MaRDI portal
Publication:1740261
DOI10.1016/j.amc.2017.08.033zbMath1427.65202OpenAlexW2753071462MaRDI QIDQ1740261
Dinghua Xu, Yinghong Xu, Qifeng Zhang, Mengzhe Chen
Publication date: 29 April 2019
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2017.08.033
convergenceconsistencyasymptotic stabilitysolvabilitygeneralized diffusion equation with delaycompact \(\theta \)-method
Initial-boundary value problems for second-order parabolic equations (35K20) Partial functional-differential equations (35R10) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)
Related Items
Nonlinear differential equations of fourth-order: qualitative properties of the solutions ⋮ Fundamental solutions for the conformable time fractional Phi-4 and space-time fractional simplified MCH equations ⋮ Linear \(\theta\)-method and compact \(\theta\)-method for generalised reaction-diffusion equation with delay ⋮ Numerical solutions for nonlinear multi-term fractional differential equations via Dickson operational matrix ⋮ Stability and convergence of compact finite difference method for parabolic problems with delay ⋮ Stability of numerical solution for partial differential equations with piecewise constant arguments ⋮ Fast numerical schemes for nonlinear space-fractional multidelay reaction-diffusion equations by implicit integration factor methods ⋮ A linearized compact ADI numerical method for the two-dimensional nonlinear delayed Schrödinger equation ⋮ Unconditionally stable compact theta schemes for solving the linear and semi-linear fourth-order diffusion equations ⋮ The continuous Galerkin finite element methods for linear neutral delay differential equations ⋮ Unnamed Item ⋮ Uniform convergence of compact and BDF methods for the space fractional semilinear delay reaction-diffusion equations ⋮ A Newton linearized Crank-Nicolson method for the nonlinear space fractional Sobolev equation ⋮ Asymptotic stability of compact and linear \(\theta \)-methods for space fractional delay generalized diffusion equation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- An accurate Chebyshev pseudospectral scheme for multi-dimensional parabolic problems with time delays
- The compact and Crank-Nicolson ADI schemes for two-dimensional semilinear multidelay parabolic equations
- A compact difference scheme for numerical solutions of second order dual-phase-lagging models of microscale heat transfer
- Convergence of two implicit numerical schemes for diffusion mathematical models with delay
- Delay differential equations: with applications in population dynamics
- Differential-difference equations
- A non-local PDE model for population dynamics with state-selective delay: local theory and global attractors
- Solutions for the cell cycle in cell lines derived from human tumors
- Numerical solutions of diffusion mathematical models with delay
- Preserving stability implicit Euler method for nonlinear Volterra and neutral functional differential equations in Banach space
- The variational iteration method for solving a neutral functional-differential equation with proportional delays
- Analytic-numerical solutions of diffusion mathematical models with delays
- A three-point combined compact difference scheme
- Introduction to functional differential equations
- Numerical stability, resolvent conditions and delay differential equations
- Existence and uniqueness of solutions for delay evolution equations of second order in time.
- A mathematical model of cell-to-cell spread of HIV-1 that includes a time delay
- Convergence and stability analysis of the \({\theta}\)-method for delayed diffusion mathematical models
- Convergence and asymptotic stability of Galerkin methods for linear parabolic equations with delays
- Analytic solution of mixed problems for the generalized diffusion equation with delay
- Theory and applications of partial functional differential equations
- Modifications of the optimal velocity traffic model to include delay due to driver reaction time
- Numerical solution of a class of delay differential and delay partial differential equations via Haar wavelet
- A linear finite difference scheme for generalized time fractional Burgers equation
- Functional constraints method for constructing exact solutions to delay reaction-diffusion equations and more complex nonlinear equations
- \(L^\infty\) error estimates of discontinuous Galerkin methods for delay 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
- The method of lines for parabolic differential-functional equations
- Asymptotic stability analysis of the linear θ-method for linear parabolic differential equations with delay
- On the Stability of Predictor-Corrector Methods for Parabolic Equations with Delay
- Methods for linear systems of circuit delay differential equations of neutral type
- Asymptotic stability of travelling waves for Nicholson's blowflies equation with diffusion
- Difference schemes for time-dependent heat conduction models with delay
- Global Stability of Monostable Traveling Waves For Nonlocal Time-Delayed Reaction-Diffusion Equations
- Applied Delay Differential Equations
- Stability in the numerical solution of linear parabolic equations with a delay term
