Article ID Journal Published Year Pages File Type
4632338 Applied Mathematics and Computation 2010 8 Pages PDF
Abstract

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(k2+h4)O(k2+h4). It has been shown that by suitably choosing parameter, a high accuracy scheme of O(k3+h4)O(k3+h4) can be derived from our methods. Numerical results demonstrate the superiority of the new scheme.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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