Projection difference scheme for a parabolic functional differential equation with two-dimensional transformation of argumentsстатья
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Дата последнего поиска статьи во внешних источниках: 28 мая 2015 г.
Автор:
Razgulin A.V.
Журнал:
Computational Mathematics and Mathematical Physics
Том:
45
Номер:
10
Год издания:
2005
Издательство:
Pleiades Publishing, Ltd
Местоположение издательства:
Road Town, United Kingdom
Первая страница:
1780
Последняя страница:
1791
Аннотация:
A nonlinear parabolic functional differential equation with the functional part containing a generalized superposition of the unknown solution and a transformation of the two-dimensional spatial argument is considered. A projection difference scheme for the approximation of the initial Dirichlet boundary value problem in a rectangle is proposed for a wide class of measurable, including noninvertible, transformations. An estimate of the rate of convergence to the generalized solutions of the initial problem of order O(τ^{1/4-γ} + h^{1/2-2γ}) in the norm L_2(Q) without a priori assumptions on the invertibility of the transformation and without any mesh size matching is obtained. Copyright © 2005 by MAIK "Nauka/Interperiodica".
Добавил в систему:
Разгулин Александр Витальевич