期刊
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
卷 207, 期 1, 页码 59-63出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.cam.2006.07.012
关键词
riccati equation; variational iteration method; Adomian decomposition method; homotopy perturbation method
In this paper, the quadratic Riccati differential equation is solved by He's variational iteration method with considering Adomian's polynomials. Comparisons were made between Adomian's decomposition method (ADM), homotopy perturbation method (HPM) and the exact solution. In this application, we do not have secular terms, and if /., Lagrange multiplier, is equal - 1 then the Adomian's decomposition method is obtained. The results reveal that the proposed method is very effective and simple and can be applied for other nonlinear problems. (C) 2006 Published by Elsevier B.V.
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