A LOCAL ONE-DIMENSIONAL SCHEME FOR PARABOLIC EQUATION OF GENERAL FORM, DESCRIBING MICROPHYSICAL PROCESSES IN CONVECTIVE CLOUDS
Journal Title: Вестник КРАУНЦ. Физико-математические науки - Year 2018, Vol 3, Issue
Abstract
This paper considers a locally one-dimensional scheme for a parabolic equation of general form in a p-dimensional parallelepiped.To describe coagulation processes in the cloud, the equation under study involves a non-local source of a specific type [1]. An a priori estimate for the solution to the locally one-dimensional scheme is obtained and its convergence is proved. Sign definiteness for the operator in the principal part of the equation is not assumed.
Authors and Affiliations
Boris Ashabokov, Idar Taysaev, Muhamed Shkhanukov-Lafishev
Keywords
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- EP ID EP505512
- DOI 10.18454/2079-6641-2018-23-3-158-167
- Views 110
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