A stable difference scheme for the solution of hyperbolic equations using the method of lines

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
Hauptverfasser: Heydweiller, J.C, Sincovec, R.F
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container_title Journal of computational physics
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creator Heydweiller, J.C
Sincovec, R.F
description 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.
doi_str_mv 10.1016/0021-9991(76)90055-3
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title A stable difference scheme for the solution of hyperbolic equations using the method of lines
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