The high-order multistep ADI solver for two-dimensional nonlinear delayed reaction-diffusion equations with variable coefficients
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Publication:2001308
DOI10.1016/j.camwa.2018.02.017zbMath1419.65036OpenAlexW2793925886MaRDI QIDQ2001308
Publication date: 3 July 2019
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2018.02.017
Reaction-diffusion equations (35K57) 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) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)
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Cites Work
- Unnamed Item
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- The compact and Crank-Nicolson ADI schemes for two-dimensional semilinear multidelay parabolic equations
- A linearized compact difference scheme for a class of nonlinear delay partial differential equations
- The study of a fourth-order multistep ADI method applied to nonlinear delay reaction-diffusion equations
- LDG method for reaction-diffusion dynamical systems with time delay
- A compact difference scheme combined with extrapolation techniques for solving a class of neutral delay parabolic differential equations
- Convergence and asymptotic stability of Galerkin methods for a partial differential equation with piecewise constant argument
- Oscillations and global attractivity in models of hematopoiesis
- Traveling wavefront in a hematopoiesis model with time delay
- Partial differential equations. III: Nonlinear equations.
- High-order compact ADI methods for parabolic equations
- Semigroups of linear operators and applications to partial differential equations
- Strong contractivity properties of numerical methods for ordinary and delay differential equations
- Some properties of solutions for semilinear heat equations with timelag
- A local meshless method based on the finite collocation and local integral equations method for delay PDEs
- High-order finite difference methods for a second order dual-phase-lagging models of microscale heat transfer
- A new fourth-order numerical algorithm for a class of nonlinear wave equations
- Theory and applications of partial functional differential equations
- A spectral Galerkin method for nonlinear delay convection-diffusion-reaction equations
- Exponential stability of abstract evolution equations with time delay
- Dynamics for a type of general reaction-diffusion model
- The multistep finite difference fractional steps method for a class of viscous wave equations
- Maximum norm error bounds of ADI and compact ADI methods for solving parabolic equations
- A compact finite difference scheme for solving a three-dimensional heat transport equation in a thin film
- Compact ADI method for solving parabolic differential equations
- An economical difference scheme for heat transport equation at the microscale
