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Article information
2010 , Volume 15, ¹ 1, p.77-84
Ichetovkin D.A., Paasonen V.I.
Numerical study of the independent approximation of the boundary conditions for solutions with discontinuities derivatives
This article is a sequel of other papers devoted to the numerical study of the finite difference schemes for the parabolic and elliptic equations with discontinuous coefficients.Boundary conditions in these systems are directly approximated with arbitrary order, without involving the differential equation and its continuation of the system. Theoretical justification of the method and its possible applications were discussed earlier in this journal and the goal of this article is a confirmation of convergence orders in numerical experiments on solutions with discontinuous first derivatives.
[full text]
Keywords: one-sided stream approximation, multipoint boundary conditions, multipoint stream approximation, compact scheme, inhomogeneous domain, the boundary conditions approximation, hight-order scheme
Author(s):
Ichetovkin Dmitry Aleksandrovi
Position: Student
Office: Novosibirsk State University
Address: Russia, Novosibirsk
Paasonen Viktor Ivanovich
PhD. , Associate Professor
Position: Senior Research Scientist
Office: Federal Research Center for Information and Computational Technologies
Address: 630090, Russia, Novosibirsk, Ac. Lavrentiev ave. 6
Phone Office: (383) 330 86 56
E-mail: paas@ict.nsc.ru
Bibliography link:
Ichetovkin D.A., Paasonen V.I. Numerical study of the independent approximation of the boundary conditions for solutions with discontinuities derivatives // Computational technologies. 2010. V. 15. ¹ 1. P. 77-84
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