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

Abstract:

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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.

Info:

Periodical:

Advanced Materials Research (Volumes 314-316)

Edited by:

Jian Gao

Pages:

667-671

DOI:

10.4028/www.scientific.net/AMR.314-316.667

Citation:

K. Deng "A New Single Step Full Discrete Scheme for a Semilinear Second Order Hyperbolic Equation", Advanced Materials Research, Vols. 314-316, pp. 667-671, 2011

Online since:

August 2011

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Price:

$35.00

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