A class of compact boundary value methods applied to semi-linear reaction-diffusion equations
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Publication:2279233
DOI10.1016/j.amc.2017.12.033zbMath1429.65218OpenAlexW2781825633MaRDI QIDQ2279233
Cheng-Jian Zhang, Huiru Wang, Yongtao Zhou
Publication date: 12 December 2019
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2017.12.033
error analysisnumerical experimentunique solvabilityboundary value methodssemi-linear reaction-diffusion equationscompact difference method
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)
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Cites Work
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- The compact and Crank-Nicolson ADI schemes for two-dimensional semilinear multidelay parabolic equations
- A new linearized compact multisplitting scheme for the nonlinear convection-reaction-diffusion equations with delay
- Block boundary value methods for solving Volterra integral and integro-differential equations
- Boundary value methods for Volterra integral and integro-differential equations
- Long time behavior of non-Fickian delay reaction-diffusion equations
- Block boundary value methods applied to functional differential equations with piecewise continuous arguments
- Legendre spectral collocation in space and time for PDEs
- LDG method for reaction-diffusion dynamical systems with time delay
- Implicit-explicit predictor-corrector schemes for nonlinear parabolic differential equations
- Convergence and stability of extended block boundary value methods for Volterra delay integro-differential equations
- High-order compact boundary value method for the solution of unsteady convection-diffusion problems
- Block boundary value methods for delay differential equations
- Block boundary value methods for linear Hamiltonian systems
- Blended implementation of block implicit methods for ODEs
- Unconditionally optimal error analysis of Crank-Nicolson Galerkin FEMs for a strongly nonlinear parabolic system
- Convergence and stability of boundary value methods for ordinary differential equations
- A spectral Galerkin method for nonlinear delay convection-diffusion-reaction equations
- A note on compact finite difference method for reaction-diffusion equations with delay
- Some notes on split Newton iterative algorithm
- Strang-type preconditioners applied to ordinary and neutral differential-algebraic equations
- Convergence and Stability of Multistep Methods Solving Nonlinear Initial Value Problems
- Compact difference schemes for heat equation with Neumann boundary conditions
- A high-order compact boundary value method for solving one-dimensional heat equations
- Block-Boundary Value Methods for the Solution of Ordinary Differential Equations
- Galerkin-Chebyshev spectral method and block boundary value methods for two-dimensional semilinear parabolic equations
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