Error Estimates of the Finite-Difference Scheme for a One-Dimensional Parabolic Equation with Allowance for the Effect of Initial and Boundary Conditions

N V Mayko

doi:10.1007/s10559-014-9669-6

Error Estimates of the Finite-Difference Scheme for a One-Dimensional Parabolic Equation with Allowance for the Effect of Initial and Boundary Conditions

N V Mayko

https://doi.org/10.1007/s10559-014-9669-6

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Journal: Cybernetics and Systems Analysis	Publication Date: Sep 1, 2014
Citations: 6

Affiliation: Taras Shevchenko National University of Kyiv

#Rectangle Side #Dirichlet Boundary Condition + Show 8 more

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Abstract

Error estimates are obtained for the finite-difference scheme in solving a one-dimensional heat equation. These estimates take into account the effect of initial and boundary conditions. The order of accuracy in a spatiotemporal rectangle is proved to be higher near the rectangle bottom and along the rectangle side on which the Dirichlet boundary condition is specified.

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