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Fourth-order compact schemes for solving multidimensional heat problems with Neumann boundary conditions

✍ Scribed by Jennifer Zhao; Weizhong Dai; Suyang Zhang

Publisher
John Wiley and Sons
Year
2007
Tongue
English
Weight
154 KB
Volume
24
Category
Article
ISSN
0749-159X

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✦ Synopsis

Abstract

In this article, two sets of fourth‐order compact finite difference schemes are constructed for solving heat‐conducting problems of two or three dimensions, respectively. Both problems are with Neumann boundary conditions. These works are extensions of our earlier work (Zhao et al., Fourth order compact schemes of a heat conduction problem with Neumann boundary conditions, Numerical Methods Partial Differential Equations, to appear) for the one‐dimensional case. The local one‐dimensional method is employed to construct these two sets of schemes, which are proved to be globally solvable, unconditionally stable, and convergent. Numerical examples are also provided. © 2007 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2007

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