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Revisit on partial solutions in the Adomian decomposition method: Solving heat and wave equations |
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| Authors: | Xing-Guo Luo Qing-Biao Wu |
| Affiliation: | a Department of Mathematics, Zhejiang University, Hangzhou 310027, PR China b Department of Mathematics, Zhejiang University, Xixi Campus, Hangzhou 310028, PR China c Department of Mathematics, Zhijiang College of Zhejiang University of Technology, Hangzhou 310024, PR China |
| Abstract: | 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. |
| Keywords: | Adomian decomposition method Heat equations Wave equations |
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