THERMAL SCIENCE

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Yu-Yang Qiu

SOLVING A CLASS OF BOUNDARY VALUE PROBLEMS BY LSQR

ABSTRACT
Boundary value problems arising in fluid mechanics and thermal science can be transformed uniformly to a set of linear equations, whose coefficient matrix is circulant. This paper adopts a matrix iteration LSQR to solve the inverse of coefficient matrix. The solution process is elucidated step by step, and the numerical results reveal the effectiveness and feasibility of the presented method.
KEYWORDS
boundary value problems, circulant, iteration LSQR, inverse
PAPER SUBMITTED: 2016-07-15
PAPER REVISED: 2016-08-27
PAPER ACCEPTED: 2016-09-04
PUBLISHED ONLINE: 2017-09-09
DOI REFERENCE: https://doi.org/10.2298/TSCI160715059Q
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2017, VOLUME 21, ISSUE Issue 4, PAGES [1719 - 1724]
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Solving a class of boundary value problems by LSQR

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence