Article ID Journal Published Year Pages File Type
4627155 Applied Mathematics and Computation 2015 9 Pages PDF
Abstract

In this paper, a new semi-implicit two-step hybrid method with fifth algebraic order is derived for the integration of second-order oscillatory initial value problems. The new method possesses dispersion of order eight and dissipation of order infinity. Numerical experiment reveals the superiority of the new method for solving oscillatory or periodic problems over several methods of the same algebraic order in the literature.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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