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

J. C. Heydweiller; R. F. Sincovec

doi:10.1016/0021-9991(76)90055-3

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

J. C. Heydweiller, R. F. Sincovec

Computer Science and Engineering

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

Abstract

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.

Original language	English (US)
Pages (from-to)	377-388
Number of pages	12
Journal	Journal of Computational Physics
Volume	22
Issue number	3
DOIs	https://doi.org/10.1016/0021-9991(76)90055-3
State	Published - Nov 1976

ASJC Scopus subject areas

Numerical Analysis
Modeling and Simulation
Physics and Astronomy (miscellaneous)
Physics and Astronomy(all)
Computer Science Applications
Computational Mathematics
Applied Mathematics

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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",

abstract = "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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year = "1976",

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AU - Sincovec, R. F.

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N2 - 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.

AB - 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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ER -

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

Abstract

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