Article ID Journal Published Year Pages File Type
4645155 Applied Numerical Mathematics 2014 10 Pages PDF
Abstract

In this paper, we investigate the convergence behavior of discontinuous Galerkin methods for solving a class of delay differential equations. Although discontinuities may occur in various orders of the derivative of the solutions, we show that the m  -degree DG solutions have (m+1)(m+1)th order accuracy in L∞L∞ norm. Numerical experiments confirm the theoretical results of the methods.

Related Topics
Physical Sciences and Engineering Mathematics Computational Mathematics
Authors
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