On numerical solutions for hyperbolic-parabolic equations with the multipoint nonlocal boundary condition

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Tarih

2014

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Yayıncı

Pergamon-Elsevier Science Ltd

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

A numerical method is proposed for solving multi-dimensional hyperbolic parabolic differential equations with the nonlocal boundary condition in t and Dirichlet and Neumann conditions in space variables. The first and second order of accuracy difference schemes are presented. The stability estimates for the solution and its first and second orders difference derivatives are established. A procedure of modified Gauss elimination method is used for solving these difference schemes in the case of a one-dimensional hyperbolic parabolic differential equations with variable coefficients in x and two-dimensional hyperbolic parabolic equation. (C) 2012 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

Açıklama

International Conference on Applied Analysis and Algebra (ICAAA) -- JUN 27-JUL 02, 2011 -- Istanbul, TURKEY
Ashyralyev, Allaberen/0000-0003-1552-0618
WOS: 000329972500002

Anahtar Kelimeler

Kaynak

Journal Of The Franklin Institute-Engineering And Applied Mathematics

WoS Q Değeri

Q1

Scopus Q Değeri

Q1

Cilt

351

Sayı

2

Künye