Convergence of the method of lines for one quasilinear parabolic equation with delay

Autor:	A. T. Sakhtaganova, N. P. Kopystyra
Rok vydání:	1993
Předmět:	Statistics and Probability Applied Mathematics General Mathematics Mathematical analysis Convergence (routing) Method of lines Function (mathematics) Parametric equation Constant (mathematics) Mathematics
Zdroj:	Journal of Soviet Mathematics. 63:522-527
ISSN:	1573-8795 0090-4104
Popis:	We investigate the applicability of the method of lines to delayed equations. We consider a boundary-value problem for a quasilinear parametric equation with delay in the right-hand side. The scheme of the method of lines is shown to be second-order convergent when the delay is constant and nonnegative and the function f is Lipschitzian in the third argument in the class W22(QT).
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::698000ed29ce131fd7b06e85fb031539 https://doi.org/10.1007/bf01142523 Zobrazit plný text záznamu Full text from SpringerLink