Error estimates of the finite-difference scheme for a one-dimensional parabolic equation with allowance for the effect of initial and boundary conditions

DOI10.1007/S10559-014-9669-6zbMath1312.65149OpenAlexW1990501257MaRDI QIDQ2263351

N. V. Maiko

Publication date: 18 March 2015

Published in: Cybernetics and Systems Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10559-014-9669-6

zbMATH Keywords

difference schemeheat conduction equationmixed boundary conditionallowance for the influence of initial and boundary conditionsestimate with weight

Mathematics Subject Classification ID

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

Related Items (5)

Improved accuracy estimates of the difference scheme for the two-dimensional parabolic equation with regard for the effect of initial and boundary conditions ⋮ Boundary effect in the error estimate of the finite-difference scheme for two-dimensional Poisson's equation ⋮ Weighted estimates for boundary value problems with fractional derivatives ⋮ A weighted error estimate for a finite-difference scheme of increased approximation order for a two-dimensional Poisson equation with allowance for the Dirichlet boundary condition ⋮ Weighted estimates of the Cayley transform method for abstract differential equations

Cites Work

• New properties of the FD-method in its applications to the Sturm-Liouville problems
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