Li-Bin Liu; Yong Zhang; Huai-Huo Cao

International Journal of Information Technology and Computer Science (IJITCS)

IJITCS Vol. 3, No. 4, 8 Aug. 2011

Cover page and Table of Contents: PDF (size: 102KB)

Non-polynomial Spline Difference Schemes for Solving Second-order Hyperbolic Equations

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Author(s)

Li-Bin Liu ^1,* Yong Zhang ¹ Huai-Huo Cao ¹

1. Department of Mathematics and Computer Science, Chizhou College, Chizhou, Anhui 247000,P.R. China

* Corresponding author.

DOI: https://doi.org/10.5815/ijitcs.2011.04.07

Received: 27 Oct. 2010 / Revised: 10 Mar. 2011 / Accepted: 12 May 2011 / Published: 8 Aug. 2011

Index Terms

Second-order hyperbolic equation, non-polynomial cubic spline, conditionally stable, finite difference scheme

Abstract

In this paper, a class of improved methods based on non-polynomial cubic splines in space and finite difference in time direction are constructed for the second-order hyperbolic equations with initial boundary value problems. Truncation error and stability analysis of the methods have been carried out. It is shown that by suitably choosing the parameters, many known methods can be derived from ours. We also obtain a new high accuracy scheme of , which is conditionally stable for .Finally, a numerical experiment is tested and results are compared with other published numerical solutions.

Cite This Paper

Li-Bin Liu, Yong Zhang, Huai-Huo Cao, "Non-polynomial Spline Difference Schemes for Solving Second-order Hyperbolic Equations", International Journal of Information Technology and Computer Science(IJITCS), vol.3, no.4, pp.43-49, 2011. DOI:10.5815/ijitcs.2011.04.07

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