Convergence of the Finite Difference Scheme for a Fast Diffusion Equation in Porous Media

DOI10.1080/01630560802418078zbMath1173.35073OpenAlexW2109865262WikidataQ60582020 ScholiaQ60582020MaRDI QIDQ5302567

Cornelia-Andreea Ciutureanu, Gabriela Marinoschi

Publication date: 7 January 2009

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630560802418078

zbMATH Keywords

Neumann boundary conditionRobin boundary condition

Mathematics Subject Classification ID

PDEs with multivalued right-hand sides (35R70) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Flows in porous media; filtration; seepage (76S05) 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) Free boundary problems for PDEs (35R35)

Related Items (4)

Well-posedness for chemotaxis dynamics with nonlinear cell diffusion ⋮ A duality approach to nonlinear diffusion equations ⋮ Nonlinear parabolic flows with dynamic flux on the boundary ⋮ Well-posedness of singular diffusion equations in porous media with homogeneous Neumann boundary conditions

Cites Work

• Difference approximation of Cauchy problems for quasi-dissipative operators and generation of nonlinear semigroups
• On the relation of the operator \(\partial/\partial s+partial/\tau\) to evolution governed by accretive operators
• Analysis and control of nonlinear infinite dimensional systems
• Generation of Semi-Groups of Nonlinear Transformations on General Banach Spaces
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Convergence of the Finite Difference Scheme for a Fast Diffusion Equation in Porous Media