An unconditionally stable alternating direction implicit scheme for the two space dimensional linear hyperbolic equation
In: Numerical Methods for Partial Differential Equations, Jg. 17 (2001), S. 684-688
Online
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Zugriff:
We report a new unconditionally stable implicit alternating direction implicit (ADI) scheme of O(k2 + h2) for the difference solution of linear hyperbolic equation utt + 2αut + β2u = uxx + uyy + f(x, y, t), αβ ≥ 0, 0 0 subject to appropriate initial and Dirichlet boundary conditions, where α > 0 and β ≥ 0 are real numbers. The resulting system of algebraic equations is solved by split method. Numerical results are provided to demonstrate the efficiency and accuracy of the method. © 2001 John Wiley & Sons, Inc. Numer Methods Partial Differential Eq 17: 684–688, 2001
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An unconditionally stable alternating direction implicit scheme for the two space dimensional linear hyperbolic equation
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| Autor/in / Beteiligte Person: | Mohanty, R. K. ; Jain, M. K. |
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| Zeitschrift: | Numerical Methods for Partial Differential Equations, Jg. 17 (2001), S. 684-688 |
| Veröffentlichung: | Wiley, 2001 |
| Medientyp: | unknown |
| ISSN: | 1098-2426 (print) ; 0749-159X (print) |
| DOI: | 10.1002/num.1034 |
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