Nonlocal boundary value problem with Poisson’s operator on a rectangle and its difference interpretation
DOI:
https://doi.org/10.31489/2020m3/38-54Keywords:
Poisson’s operator, nonlocal boundary value problem, rectangle, difference schemeAbstract
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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Published
2020-09-30
How to Cite
Dovletov, D. (2020). Nonlocal boundary value problem with Poisson’s operator on a rectangle and its difference interpretation. Bulletin of the Karaganda University. Mathematics Series, 99(3), 38–54. https://doi.org/10.31489/2020m3/38-54
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MATHEMATICS