P. V. Vinogradova, A. G. Zarubin, A. M. Samusenko, “Galerkin – Petrov method for one-dimensional parabolic equations of higher order in domain with a moving boundary”, Computer Research and Modeling, 2013, Volume 5, Issue 1,Pages <nobr>3

MATHEMATICAL MODELING AND NUMERICAL SIMULATION

Galerkin – Petrov method for one-dimensional parabolic equations of higher order in domain with a moving boundary

P. V. Vinogradova^a, A. G. Zarubin^b, A. M. Samusenko^a

^a Far Eastern State Transport University, 680021, Khabarovsk, Serisheva 47, Russia
^b Pacific National University, 680035, Khabarovsk, Tihookeanskaja 136, Russia

Abstract: In the current paper, we study a Galerkin – Petrov method for a parabolic equations of higher order in domain with a moving boundary. Asymptotic estimates for the convergence rate of approximate solutions are obtained.

Keywords: initial boundary value problem, parabolic equation, Galerkin – Petrov method, convergence, convergence rate.

UDC: 517.93

Received: 30.01.2013

DOI: 10.20537/2076-7633-2013-5-1-3-10