Quartic spline methods for solving one-dimensional telegraphic equations

摘要

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.