Error estimates of the finite-difference scheme for a one-dimensional parabolic equation with allowance for the effect of initial and boundary conditions (Q2263351)
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| Language | Label | Description | Also known as |
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| English | Error estimates of the finite-difference scheme for a one-dimensional parabolic equation with allowance for the effect of initial and boundary conditions |
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Error estimates of the finite-difference scheme for a one-dimensional parabolic equation with allowance for the effect of initial and boundary conditions (English)
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18 March 2015
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The author is concerned with error estimates with weights for finite difference schemes related to 1D parabolic equations subject to mixed boundary conditions. The conclusion of this work is that the accuracy is higher at the bottom of the space-time rectangle as well as along the sides where the Dirichlet boundary condition is specified.
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heat conduction equation
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mixed boundary condition
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difference scheme
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estimate with weight
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allowance for the influence of initial and boundary conditions
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