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Cybernetics And Systems Analysis
International Theoretical Science Journal
UDC 517.95.4+530.1
Kolodyazhny V.M., Lisin D.O.

MESHLESS METHOD TO SOLVE NONSTATIONARY HEAT CONDUCTION PROBLEMS USING ATOMIC RADIAL BASIS FUNCTIONS

Abstract. The authors consider a meshless method to solve 3D boundary-value problems of nonstationary heat conduction. It is implemented through an iterative scheme based on a combination of double substitution method and the method of fundamental solutions with the use of atomic radial basis functions. The approaches to the visualization of the desired solution are considered.

Keywords: meshless method, atomic functions of many variables, boundary-value problems, nonstationary heat conduction problems.



FULL TEXT

Колодяжный Владимир Максимович,
доктор физ.-мат. наук, заведующий кафедрой Харьковского национального автомобильно-дорожного университета,
e-mail: kolodyazhny@mail.ru.

Лисин Денис Александрович,
аспирант Института проблем машиностроения им. А.Н. Подгорного НАН Украины, Харьков,
e-mail: lisin.d.a@mail.ru.

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