The variational spline method for solving Troesch’s problem

Autor:	A. Hananel, Miguel Pasadas, Z. Belhaj, A. Kouibia
Rok vydání:	2014
Předmět:	Spline (mathematics) Exact solutions in general relativity Variational method Applied Mathematics Mathematical analysis Applied mathematics Partition (number theory) General Chemistry Uniqueness Mathematics
Zdroj:	Journal of Mathematical Chemistry. 53:868-879
ISSN:	1572-8897 0259-9791
DOI:	10.1007/s10910-014-0462-6
Popis:	In this paper we present a variational approximation method for solving Troesch’s problem. The existence and the uniqueness of this problem are shown. Moreover, we construct a sequence of approximate solutions of the problem from the number of knots of a partition of the domain. Such sequence converges to the exact solution of the problem. Finally, we analyze some graphical and numerical examples in order to show the efficiency of our method.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::e560b4bd390b13d7996d1accb221f441 https://doi.org/10.1007/s10910-014-0462-6 Zobrazit plný text záznamu Full text from SpringerLink