2001•Mathematical Modelling and AnalysisOpen access

STATIONARY PROBLEMS WITH NONLOCAL BOUNDARY CONDITIONS

Raimondas Čiegis, Artūras Štikonas, Olga Štikonienė, Olga Suboč

Abstract

In this article a stationary problems with general nonlocal boundary conditions is considered. The differential problems and finite difference schemes for solving this problem are investigated. Stability estimates are proved in the maximum norm and the non‐negativity of the solution is investigated. All theoretical results are illustrated by representative examples.

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Key concepts: Mathematics, Boundary value problem, Norm (philosophy), Applied mathematics, Negativity effect, Boundary (topology), Finite difference, Differential (mechanical device)