期刊
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
卷 83, 期 12, 页码 973-987出版社
TAYLOR & FRANCIS LTD
DOI: 10.1080/00207160601173407
关键词
Adomian's decomposition method; two-dimensional differential transform method; variational iteration method
The implementation of the two-dimensional differential transform method (DTM), Adomian's decomposition method (ADM), and the variational iteration method (VIM) in the mathematical applications of partial differential equations is examined in this paper. The VIM has been found to be particularly valuable as a tool for the solution of differential equations in engineering, science, and applied mathematics. The three methods are compared and it is shown that the VIM is more efficient and effective than the ADM and the DTM, and also converges to its exact solution more rapidly. Numerical solutions of two examples are calculated and the results are presented in tables and figures.
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