Journal
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
Volume 13, Issue 3, Pages 539-546Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.cnsns.2006.06.006
Keywords
Riccati equation; homotopy analysis method; homotopy perturbation method; adomian decomposition method
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In this paper, the quadratic Riccati differential equation is solved by means of an analytic technique, namely the homotopy analysis method (HAM). Comparisons are made between Adomian's decomposition method (ADM), homotopy perturbation method (HPM) and the exact solution and the homotopy analysis method. The results reveal that the proposed method is very effective and simple. (c) 2006 Elsevier B.V. All rights reserved.
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