Coefficient stability of the solution of a difference scheme approximating a mixed problem for a semilinear parabolic equation

DOI10.1134/S0012266118070108zbMath1403.65042OpenAlexW2886076377WikidataQ115250678 ScholiaQ115250678MaRDI QIDQ1798687

Piotr P. Matus, S. V. Lemeshevskij

Publication date: 23 October 2018

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

Full work available at URL: https://doi.org/10.1134/s0012266118070108

zbMATH Keywords

difference schemesemilinear parabolic equationestimates of perturbations

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) Perturbations in context of PDEs (35B20) Semilinear parabolic equations (35K58)

Related Items (2)

Stability of solutions of second-order differential-operator equations and of their difference approximations ⋮ Компактные и монотонные разностные схемы для параболических уравнений

Cites Work

• On the instantaneous blow-up of solutions of some quasilinear evolution problems
• Semilinear evolution equations in Banach spaces
• A stability technique for evolution partial differential equations. A dynamical systems approach
• Some nonexistence and instability theorems for solutions of formally parabolic equations of the form \(Pu_t=-Au+ {\mathfrak F} (u)\)
• Coefficient stability of second-order operator-differential equations
• A nonlinear heat equation with singular initial data
• On the strong stability of first-order operator-differential equations
• Well-posedness and blow up for IBVP for semilinear parabolic equations and numerical methods
• Stability of finite-difference schemes for semilinear multidimensional parabolic equations
• A general approach to critical Fujita exponents in nonlinear parabolic problems
• Stability of Solutions of Differential-operator and Operator-difference Equations in the Sense of Perturbation of Operators
• On the growth of solutions of quasi‐linear parabolic equations
• The strong stability of differential-operator and operator- difference schemes
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Coefficient stability of the solution of a difference scheme approximating a mixed problem for a semilinear parabolic equation