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- W2038962495 abstract "In this paper we present a formulation of a finite difference Crank-Nicolson scheme for the numerical solution of the unsteady heat equation in 2+1 dimensions, a problem which has not been extensively studied when the spatial domain has an irregular shape. It is based on a second order difference scheme defined by an optimality condition, which has been developed to solve Poisson-like equations whose domains are approximated by structured convex grids over very irregular regions generated by the direct variational method. Numerical examples are presented and the results are very satisfactory." @default.
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- W2038962495 date "2014-12-01" @default.
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- W2038962495 title "Finite difference schemes satisfying an optimality condition for the unsteady heat equation" @default.
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- W2038962495 doi "https://doi.org/10.1016/j.matcom.2014.02.007" @default.
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