A semi-discretization method based on quartic splines for solving one-space-dimensional hyperbolic equations
Applied Mathematics and ComputationPublished 19 January 2009
Huan‐Wen Liu, Li‐Bin Liu, Yanping Chen
Citations17
SJR quartileQ1
SJR score0.89
SNIP1.40
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TL;DR
Based on C^3 quartic splines, a semi-discretization method containing two schemes is constructed to solve one-space-dimensional linear hyperbolic equations and it is shown that both schemes are unconditionally stable.
Abstract
In this paper, based on C3 quartic splines, a semi-discretization method containing two schemes is constructed to solve one-space-dimensional linear hyperbolic equations. It is shown that both schemes are unconditionally stable and their approximation orders are of O(k5+h4) and of O(k7+h4) with k and h being step sizes in time and space, respectively, which are much higher than those of other published schemes. A numerical example is presented and the results are compared with other published numerical results.
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