The error term approximation in interval method of Crank-Nicolson type

DOI10.1007/S12591-012-0144-4zbMath1260.65084OpenAlexW2124432271MaRDI QIDQ1936753

Malgorzata A. Jankowska

Publication date: 6 February 2013

Published in: Differential Equations and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12591-012-0144-4

zbMATH Keywords

interval analysiserror boundsnumerical experimentinterval methodsfinite difference Crank-Nicolson methodheat conduction equation with mixed boundary conditions

Mathematics Subject Classification ID

Heat equation (35K05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) General methods in interval analysis (65G40) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Uses Software

• FloatingPointConversion

Cites Work

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• Nonlinear coupled problems in dynamics of shells
• Numerical verification of stationary solutions for Navier-Stokes problems
• A numerical verification method of solutions for the Navier-Stokes equations
• NUMERICAL VERIFICATION METHODS FOR SOLUTIONS OF ORDINARY AND PARTIAL DIFFERENTIAL EQUATIONS

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