Construction and numerical resolution of high-order accuracy decomposition scheme for a quasi-linear evolution equation

Autor:	M. Tsiklauri, Nana Dikhaminjia, J. Rogava
Rok vydání:	2018
Předmět:	General Mathematics Numerical resolution 010103 numerical & computational mathematics 01 natural sciences 010101 applied mathematics Operator splitting Scheme (mathematics) Evolution equation Decomposition (computer science) Applied mathematics Quasi linear 0101 mathematics High order Mathematics
Zdroj:	Georgian Mathematical Journal. 25:337-348
ISSN:	1572-9176 1072-947X
DOI:	10.1515/gmj-2018-0004
Popis:	In the present work the Cauchy problem for an abstract evolution equation with a Lipschitz-continuous operator is considered, where the main operator represents the sum of positive definite self-adjoint operators. The fourth-order accuracy decomposition scheme is constructed for an approximate solution of the problem. The theorem on the error estimate of an approximate solution is proved. Numerical calculations for different model problems are carried out using the constructed scheme. The obtained numerical results confirm the theoretical conclusions.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::5ea101b1db33235cf624102c6c2bc093 https://doi.org/10.1515/gmj-2018-0004 Zobrazit plný text záznamu