Yayınlanmış 1 Ocak 2010
| Sürüm v1
Dergi makalesi
Açık
A difference scheme for Cauchy problem for the hyperbolic equation with self-adjoint operator
Oluşturanlar
- 1. Halic Univ, Dept Appl Math, Istanbul, Turkey
- 2. Florida Inst Technol, Dept Math Sci, Melbourne, FL 32901 USA
Açıklama
A new second order absolutely stable difference scheme is presented for Cauchy problem for second-order hyperbolic differential equations containing the operator A(t). this scheme makes use of this operator which is unbounded linear self-adjoint positive definite with domain in an arbitrary Hilbert space. The stability estimates for the solution of this difference scheme and for the first and second-order difference derivatives are established. The theoretical statements for the solution of this difference scheme are supported by the results of numerical experiments. (C) 2010 Elsevier Ltd. All rights reserved.
Dosyalar
bib-64c626cd-972a-4677-9a99-16863104d68a.txt
Dosyalar
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