Efficient algorithms for approximating particular solutions of elliptic equations using Chebyshev polynomials

Autor:	Karageorghis, Andreas, Kyza, I.
Přispěvatelé:	Karageorghis, Andreas [0000-0002-8399-6880]
Rok vydání:	2007
Předmět:	Method of particular solutions Chebyshev polynomials Poisson equation Biharmonic equation
Zdroj:	Communications in Computational Physics Commun.Comput.Phys.
Popis:	In this paper, we propose efficient algorithms for approximating particular solutions of second and fourth order elliptic equations. The approximation of the particular solution by a truncated series of Chebyshev polynomials and the satisfaction of the differential equation lead to upper triangular block systems, each block being an upper triangular system. These systems can be solved efficiently by standard techniques. Several numerical examples are presented for each case. © 2007 Global-Science Press. 2 3 501 521 Cited By :12
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=od______4485::2d22cbb94230666c4fac24bc348d4117 http://gnosis.library.ucy.ac.cy/handle/7/57049 Zobrazit plný text záznamu