Existence of a fully implicit solution with second-order time evolution for strong nonlinear diffusion equation

DOI10.1016/J.AML.2021.107091zbMath1471.65101OpenAlexW3128902589MaRDI QIDQ2022269

Yujie Gong, Xia Cui, Guang-Wei Yuan

Publication date: 28 April 2021

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2021.107091

zbMATH Keywords

existencediffusion equationstrong nonlinearityfully implicit schemesecond-order time evolution

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Cites Work

• Nonlinear scheme with high accuracy for nonlinear coupled parabolic-hyperbolic system
• Studies on the accuracy of time-integration methods for the radiation-diffusion equations
• Second order unconditionally convergent and energy stable linearized scheme for MHD equations
• Efficient solution of multi-dimensional flux-limited nonequilibrium radiation diffusion coupled to material conduction with second-order time discretization
• Numerical analysis of time integration errors for nonequilibrium radiation diffusion
• Numerical analysis and iteration acceleration of a fully implicit scheme for nonlinear diffusion problem with second-order time evolution
• Contrast Enhancement by Nonlinear Diffusion Filtering
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