High accuracy difference schemes for a class of singular three space dimensional hyperbolic equations
In: International journal of computer mathematics, Jg. 56 (1995), Heft 3-4, S. 185-198
Online
academicJournal
- print, 4 ref
Zugriff:
For the numerical integration of the system of 3-D nonlinear hyperbolic equations with variable coefficients, we report two three-level implicit difference methods of O (k4 + k2h2 + h4) where k and h are grid sizes in time and space directions, respectively. When the coefficients of Uxy, Uyz and UZX are equal to zero we require only (7 + 19 + 7) grid points and when the coefficients of uxy, uyz and uzx are not equal to zero and the coefficients of Uxx, uyy and uzz are equal we require (19 + 27 + 19) grid points. The three-level conditionally stable ADI method of O(k4+k2h2+h4) for the numerical solution of wave equation in polar coordinates is discussed. Numerical examples are provided to illustrate the methods and their fourth order convergence.
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High accuracy difference schemes for a class of singular three space dimensional hyperbolic equations
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Autor/in / Beteiligte Person: | MOHANTY, R. K ; KOCHURANI, GEORGE ; JAIN, M. K |
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Zeitschrift: | International journal of computer mathematics, Jg. 56 (1995), Heft 3-4, S. 185-198 |
Veröffentlichung: | Abingdon: Taylor and Francis, 1995 |
Medientyp: | academicJournal |
Umfang: | print, 4 ref |
ISSN: | 0020-7160 (print) |
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