Abstract:In this paper, we elaborate the analysis of some of the schemes which was presented in [2] for the heat equation with periodic boundary conditions. We adopt this methodology to derive finite-difference schemes for heat equation with Dirichlet and Neumann boundary conditions, whose convergence rates are higher than their truncation errors. We call these schemes error inhibiting schemes.When constructing a semi-discrete approximation to a partial differential equation (PDE), a discretization of the spatial opera… Show more
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