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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 314-316A New Single Step Full Discrete Scheme for a...

A New Single Step Full Discrete Scheme for a Semilinear Second Order Hyperbolic Equation

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Abstract:

In this paper, we study a simplified single step full discrete scheme for a class of semilinear hyperbolic problems of second order. At first we obtain a system of second ordinary differential equations with initial value by use of spatially discrete finite element approximation with interpolated coefficients. Next in terms of a single step scheme to the time variable for this system we gain a fully discrete scheme with high accuracy. Finally we give the stable and convergence of the full discrete schemes.

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Advanced Manufacturing Technology, ADME 2011

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Periodical:

Advanced Materials Research (Volumes 314-316)

Pages:

667-671

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.314-316.667

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Online since:

August 2011

Authors:

Kang Deng

Keywords:

Finite Element with Interpolated Coefficients, Full Discrete Schemes, Semilinear Hyperbolic Equations, Stable and Convergence

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© 2011 Trans Tech Publications Ltd. All Rights Reserved

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