Convergence of discrete approximation of BV solution of a class of singular diffusion equations

DOI10.1016/j.cnsns.2004.06.007zbMath1094.65087OpenAlexW2067577614MaRDI QIDQ2566966

Zhaoxia Liu, Bo-ling Guo

Publication date: 29 September 2005

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2004.06.007

zbMATH Keywords

convergenceinitial value problemsingular diffusion equation\(BV\) solution

Mathematics Subject Classification ID

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) Initial value problems for second-order parabolic equations (35K15)

Cites Work

• Discrete approximations of \(BV\) solutions to doubly nonlinear degenerate parabolic equations
• Convergence of a finite volume scheme for nonlinear degenerate parabolic equations
• Monotone Difference Approximations Of BV Solutions To Degenerate Convection-Diffusion Equations
• BV solutions of a singular diffusion equation
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