期刊
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
卷 321, 期 1, 页码 353-363出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2005.08.043
关键词
adomian decomposition method; heat equations; wave equations
The Adomian decomposition method is considered in application to heat and wave equations. The so-called partial solution technique is used. It is shown that the fundamental equation of the method is well defined only for certain types of boundary conditions. In cases involving inhomogeneous boundary conditions, improper results may be obtained by former method. This paper presents a further insight into partial solutions in the decomposition method, and the resolution of such cases. (c) 2005 Elsevier Inc. All rights reserved.
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