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On stable implicit difference scheme for hyperbolic–parabolic equations in a Hilbert space

✍ Scribed by Allaberen Ashyralyev; Yildirim Ozdemir

Publisher
John Wiley and Sons
Year
2009
Tongue
English
Weight
157 KB
Volume
25
Category
Article
ISSN
0749-159X

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✦ Synopsis

Abstract

The first‐order of accuracy difference scheme for approximately solving the multipoint nonlocal boundary value problem

for the differential equation in a Hilbert space H, with self‐adjoint positive definite operator A is presented. The stability estimates for the solution of this difference scheme are established. In applications, the stability estimates for the solution of difference schemes of the mixed type boundary value problems for hyperbolic–parabolic equations are obtained. © 2008 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2009

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A Finite Difference Scheme for a Class o
A Finite Difference Scheme for a Class of Nonlinear Parabolic Systems in 3D Space Variables
✍ Jennifer J. Zhao 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 304 KB

In this paper, we establish error bound analysis for a finite-difference approximation to the solutions for a class of Nonlinear Parabolic Systems in the form Ž . Ž . Ž . Ž . Ž . Ž . Ž . ѨrѨt ¨q ѨrѨx f ¨q ѨrѨ y g ¨q ѨrѨz h ¨s D ⌬¨. We assume that the initial data is sufficiently smooth and of class