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Quartic spline methods for solving one-dimensional telegraphic equations
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DOI：10.1016/j.amc.2010.01.110.png)
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Abstract
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In this paper, by using a quartic spline in space and generalized trapezoidal formula in time direction, one-dimensional telegraphic equations are solved. We present new classes of two-level schemes. The accuracy of these methods are O(k(2) + h(4)). It has been shown that by suitably choosing parameter, a high accuracy scheme of O(k(3) + h(4)) can be derived from our methods. Numerical results demonstrate the superiority of the new scheme. (C) 2010 Elsevier Inc. All rights reserved.
Keywords:
Quartic spline
Telegraphic equation
Generalized trapezoidal
Difference scheme
Unconditionally stable
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