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- W2002918824 abstract "In this paper, based on C^3 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(k^5+h^4) and of O(k^7+h^4) 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." @default.
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- W2002918824 date "2009-04-01" @default.
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- W2002918824 title "A semi-discretization method based on quartic splines for solving one-space-dimensional hyperbolic equations" @default.
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- W2002918824 doi "https://doi.org/10.1016/j.amc.2009.01.015" @default.
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