A stable difference scheme for the solution of hyperbolic equations using the method of lines
A new differencing scheme is proposed for the solution of hyperbolic partial differential equations by the method of lines. The accuracy of the scheme is shown to be between first and second order while the instability associated with the use of centered second-order differences is avoided. The meth...
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| Veröffentlicht in: | Journal of computational physics 1976-01, Vol.22 (3), p.377-388 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | A new differencing scheme is proposed for the solution of hyperbolic partial differential equations by the method of lines. The accuracy of the scheme is shown to be between first and second order while the instability associated with the use of centered second-order differences is avoided. The method is successfully demonstrated on problems which have smooth solutions. |
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| ISSN: | 0021-9991 1090-2716 |
| DOI: | 10.1016/0021-9991(76)90055-3 |