Nataliya Mayko - Academia.edu (original) (raw)

Nataliya Mayko

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Papers by Nataliya Mayko

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

Cybernetics and Systems Analysis, 2014

Error estimates are obtained for the finite-difference scheme in solving a one-dimensional heat e... more 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.

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

Cybernetics and Systems Analysis, 2014

Error estimates are obtained for the finite-difference scheme in solving a one-dimensional heat e... more 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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