An unconditionally stable difference scheme for the one-space-dimensional linear hyperbolic equation
In: Applied Mathematics Letters, Jg. 17 (2004), Heft 1, S. 101-105
Online
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Zugriff:
An implicit three-level difference scheme of O(k2 + h2) is discussed for the numerical solution of the linear hyperbolic equation utt + 2αut + β2u = uxx + f(x, t), α > β ≥ 0, in the region Ω = {(x,t) ∥ 0 < x < 1, t > 0} subject to appropriate initial and Dirichlet boundary conditions, where α and β are real numbers. We have used nine grid points with a single computational cell. The proposed scheme is unconditionally stable. The resulting system of algebraic equations is solved by using a tridiagonal solver. Numerical results demonstrate the required accuracy of the proposed scheme.
Titel: |
An unconditionally stable difference scheme for the one-space-dimensional linear hyperbolic equation
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Autor/in / Beteiligte Person: | Mohanty, R. K. |
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Zeitschrift: | Applied Mathematics Letters, Jg. 17 (2004), Heft 1, S. 101-105 |
Veröffentlichung: | Elsevier BV, 2004 |
Medientyp: | unknown |
ISSN: | 0893-9659 (print) |
DOI: | 10.1016/s0893-9659(04)90019-5 |
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