On a difference scheme for nonlocal heat transfer boundary-value problem

Meiram Erkanatuly Akhymbek, Makhmud Abdysametovich Sadybekov

2016

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DOI 10.1063/1.4959646
Data confidence 70 medium
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Abstract

In this paper, we propose a new method of solving nonlocal problems for the heat equation with finite difference method. The main important feature of these problems is their non-self-adjointness. This non-self-adjointness causes major difficulties in their analytical and numerical solving. The problems, which boundary conditions do not possess strong regularity, are less studied. The scope of study of the paper justifies possibility of building a stable difference scheme with weights for abovementioned type of problems.