| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1139571 | Mathematics and Computers in Simulation | 2014 | 8 Pages |
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.
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Authors
Francisco J. Domínguez-Mota, Sanzon Mendoza Armenta, G. Tinoco-Guerrero, J.G. Tinoco-Ruiz,