Paper Title:
A New Single Step Full Discrete Scheme for a Semilinear Second Order Hyperbolic Equation
  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.

  Info
Periodical
Advanced Materials Research (Volumes 314-316)
Chapter
Modeling, Analysis and Simulation of Manufacturing Processes
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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