Analysis of second order difference schemes on non-uniform grids for quasilinear parabolic equations
DOI10.1016/j.cam.2016.04.006zbMath1348.65118OpenAlexW2332034817MaRDI QIDQ311435
Lubin G. Vulkov, Le Minh Hieu, Piotr P. Matus
Publication date: 13 September 2016
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2016.04.006
maximum principlenumerical experimentsquasilinear parabolic equationerror estimategamma equationmonotone difference schemenon-uniform spatial gridsquasilinear convection-diffusion equation
Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Quasilinear parabolic equations (35K59)
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Cites Work
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- On convergence of difference schemes for IBVP for quasilinear parabolic equations with generalized solutions
- A second-order positivity preserving numerical method for gamma equation
- Difference schemes on irregular grids for equations of mathematical physics with variable coefficients
- Second-order accurate finite-difference schemes on nonuniform grids
- Accuracy enhancement in difference schemes on spatially nonuniform grids
- Stability and Monotonicity of Difference Schemes for Nonlinear Scalar Conservation Laws and Multidimensional Quasi-linear Parabolic Equations
- The Maximum Principle and Some of Its Applications
- The Maximum Principle and Some of Its Applications
- Discrete Maximum Principle and Adequate Discretizations of Linear Parabolic Problems
- Efficient high-order accurate finite-difference schemes for multidimensional parabolic equations on nonuniform grids
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