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Meshless method to solve nonstationary heat conduction problems using atomic radial basis functions

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Abstract

The authors consider a meshless method to solve 3D nonstationary boundary-value heat conduction problems. It is implemented through an iterative scheme based on a combination of the 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.

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Correspondence to V. M. Kolodyazhny.

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Translated from Kibernetika i Sistemnyi Analiz, No. 3, May–June, 2013, pp. 124–131.

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Kolodyazhny, V.M., Lisin, D.O. Meshless method to solve nonstationary heat conduction problems using atomic radial basis functions. Cybern Syst Anal 49, 434–440 (2013). https://doi.org/10.1007/s10559-013-9526-z

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