Abstract
AbstractThe advantages in formulation and use of semi‐discretized approaches to the numerical solution of initial/boundary value problems are well known. The aim of this paper is to demonstrate that it is feasible to obtain accurate results even with a coarse spatial mesh. A method is developed which produces in a simple manner matrix representations for high‐order central difference operators. Dirichlet, Neumann and mixed boundary conditions are considered, both homogeneous and non‐homogeneous. It is shown in all cases that, for linear problems at least, there is no need to use a finer mesh than that dictated by the essential frequency content of the initial function data.
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