Finite difference schemes satisfying an optimality condition for the unsteady heat equation

Francisco J. Domínguez-Mota, Sanzon Mendoza Armenta, G. Tinoco-Guerrero and J.G. Tinoco-Ruiz

Mathematics and Computers in Simulation (MATCOM), 2014, vol. 106, issue C, 76-83

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.

Keywords: Numerical grid generation; Crank–Nicolson; Direct generation method; Finite difference method; Unsteady heat equation (search for similar items in EconPapers)
Date: 2014
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:106:y:2014:i:c:p:76-83

DOI: 10.1016/j.matcom.2014.02.007

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