Journal
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Volume 321, Issue 1, Pages 353-363Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2005.08.043
Keywords
adomian decomposition method; heat equations; wave equations
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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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