Stability with respect to the initial data and monotonicity of an implicit difference scheme for a homogeneous porous medium equation with a quadratic nonlinearity

DOI10.1134/S0012266110070098zbMath1427.76174OpenAlexW2167638429WikidataQ115252512 ScholiaQ115252512MaRDI QIDQ610386

Piotr P. Matus

Publication date: 8 December 2010

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266110070098

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Finite difference methods applied to problems in fluid mechanics (76M20) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12)

Related Items (3)

Stability with respect to the input data and monotonicity of an implicit finite-difference scheme for a quasilinear parabolic equation ⋮ Criterion for the stability of difference schemes for nonlinear differential equations ⋮ Компактные и монотонные разностные схемы для параболических уравнений

Cites Work

• Unnamed Item
• Investigation of the stability and convergence of difference schemes for a polytropic gas with subsonic flows
• Stability and Monotonicity of Difference Schemes for Nonlinear Scalar Conservation Laws and Multidimensional Quasi-linear Parabolic Equations
• Stability of Difference Schemes for Nonlinear Time-dependent Problems

This page was built for publication: Stability with respect to the initial data and monotonicity of an implicit difference scheme for a homogeneous porous medium equation with a quadratic nonlinearity