UDC 519.6

The boundary effect in the error estimate of the finite-difference scheme for Poisson’s equation

/ N.V. Mayko, V.L. Ryabichev // Kibernetika i sistemnyi analiz. — 2016. — Vol. 52, N 5. — P. 113–124.

We obtain the weighted error estimate of the finite-difference scheme for Poisson’s equation in a unit square, which takes into account the effect of the first boundary condition. We prove that the accuracy order is higher near the sides of the domain where the Dirichlet boundary condition is specified. Figs: 0. Tabl.: 0. Refs: 8 titles.

Keywords:

Poisson’s equation, mixed boundary condition, finite-difference scheme, weighted error estimate, boundary effect.


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Author(s):

Майко Наталия Валентиновна, кандидат физ.-мат. наук, доцент Киевского национального университета имени Тараса Шевченко,
e-mail: mayko@knu.ua, natmaiko@gmail.com

Рябичев Вячеслав Львович, кандидат физ.-мат. наук, доцент Киевского национального университета имени Тараса Шевченко,
e-mail: ryabichev@knu.ua