Proper orthogonal decomposition method for some parabolic type equations

Gerda  Jankevičiūtė; Teresė  Leonavičienė; Raimondas  Čiegis

doi:10.15388/LMR.B.2012.02

Articles

Gerda Jankevičiūtė

Teresė Leonavičienė

Raimondas Čiegis

Published 2012-12-20

https://doi.org/10.15388/LMR.B.2012.02

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Keywords

parabolic equations
numerical methods
proper orthogonal decomposition method

How to Cite

Jankevičiūtė, G. , Leonavičienė, T. and Čiegis, R. (2012) “Proper orthogonal decomposition method for some parabolic type equations”, Lietuvos matematikos rinkinys, 53(B), pp. 7–12. doi:10.15388/LMR.B.2012.02.

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Abstract

In this paper proper orthogonal decomposition method for 1D parabolic type equations is described. First basic ideas of method are presented and application scheme for compiutations is derived. Later the sensitivity of proper orthogonal decomposition method is analyzed depending on the diffusion coefficient and source function. The obtained numerical results are presented in figures and tables.

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