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Differential quadrature domain decomposition method for a class of parabolic equations

✍ Scribed by Wu Xionghua; Ye Shen

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
673 KB
Volume
48
Category
Article
ISSN
0898-1221

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✦ Synopsis

In this paper the differential quadrature method (DQM) and the domain decomposition method (DDM) are combined to form the differential quadrature domain decomposition method (DQDDM), in which the boundary reduction technique (BRM) is adopted. The DQDDM is applied to a class of parabolic equations, which have discontinuity in the coefficients of the equation, or weak discontinuity in the initial value condition. Two numerical examples belonging to this class are computed. It is found that the application of this method to the above mentioned problems is seen to lead to accurate results with relatively small computational effort.

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