Stability with respect to the input data and monotonicity of an implicit finite-difference scheme for a quasilinear parabolic equation

DOI10.1134/S0012266112020127zbMath1251.65127WikidataQ115252196 ScholiaQ115252196MaRDI QIDQ425243

R. M. Yakubuk

Publication date: 7 June 2012

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

zbMATH Keywords

monotonicitystabilityerror estimatesinitial-boundary value problemfinite difference methodquasilinear equationsparabolic problemconservative discretisations

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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Quasilinear parabolic equations (35K59)

Related Items (1)

Criterion for the stability of difference schemes for nonlinear differential equations

Cites Work

• Unnamed Item
• Stability with respect to the initial data and monotonicity of an implicit difference scheme for a homogeneous porous medium equation with a quadratic nonlinearity
• Well-posedness of difference schemes for semilinear parabolic equations with weak solutions
• 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

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