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| 題 名 | The Decomposition Method for Approximate Solution of the Cauchy Problem |
|---|---|
| 作 者 | Kaya,D.; Inc,M.; | 書刊名 | Bulletin of the Institute of Mathematics Academia Sinica |
| 卷 期 | 27:4 1999.12[民88.12] |
| 頁 次 | 頁317-321 |
| 分類號 | 314.22 |
| 關鍵詞 | The decomposition method; Cauchy problem; The selfcanceling noise terms; |
| 語 文 | 英文(English) |
| 英文摘要 | This work is concerned with analytic solution fo the Cauchy problem using the Adomian decomposition method. A variety of examples are discussed, the solution by this method is derived in the form of power series will easily computable components. These examples are nonhomogeneous problems and their exact solutions are readily found using the decomposition method by determining the first three components of the series and by keeping only the non-canceled terms of the first component. The phenomena of the self-canceling "noise" terms is made clear that sum of components of the series will be vanish in the limit. Comparing the methodology with some other existing techniques shows that this scheme is powerful and reliable. |
本系統中英文摘要資訊取自各篇刊載內容。