Nonlocal boundary value problem with Poissons operator on a rectangle and its difference interpretation | Zendy

Dovlet M. Dovletov | Zendy

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Nonlocal boundary value problem with Poissons operator on a rectangle and its difference interpretation

Author(s) -

Dovlet M. Dovletov

Publication year - 2020

Publication title -

bulletin of the karaganda university-mathematics

Language(s) - English

Resource type - Journals

eISSN - 2663-5011

pISSN - 2518-7929

DOI - 10.31489/2020m3/38-54

Subject(s) - rectangle , mathematics , boundary value problem , uniqueness , mathematical analysis , operator (biology) , domain (mathematical analysis) , differential equation , a priori and a posteriori , value (mathematics) , differential operator , differential (mechanical device) , geometry , physics , statistics , biochemistry , chemistry , philosophy , epistemology , repressor , transcription factor , gene , thermodynamics

In the present paper, differential and difference variants of nonlocal boundary value problem (NLBVP) for Poisson’s equation in open rectangular domain are studied. The existence, uniqueness and a priori estimate of classical solution are established. The second order of accuracy difference scheme is presented. The applications with weighted integral condition are provided in differential and difference variants.

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