On one problem with non-local boundary conditions

Raimondas Čiegis; Olga Štikonienė; Olga Suboč

doi:10.15388/LMR.2001.34636

Articles

Raimondas Čiegis

Vilnius Gediminas Technical University

Olga Štikonienė

Institute of Mathematics and Informatics

Olga Suboč

Vilnius Gediminas Technical University

Published 2001-12-17

https://doi.org/10.15388/LMR.2001.34636

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How to Cite

Čiegis, R., Štikonienė, O. and Suboč, O. (2001) “On one problem with non-local boundary conditions”, Lietuvos matematikos rinkinys, 41(spec.), pp. 497–503. doi:10.15388/LMR.2001.34636.

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Abstract

In this article two problems with non-local boundary conditions are analysed: stationary diffusion problem with constant coeficients and non-local boundary condition, and stationary diffusion problem with additional convection term and non-local boundary condition. Finite difference schemes are constructed and investigated. The sufficient conditions for the existence of an unique solution are obtained.

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