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Adomian Decomposition Method Using Integrating Factor
Authors:Yinwei Lin  Tzon-Tzer Lu  Cha'o-Kuang Chen
Affiliation:1. Department of Mechanical Engineering, National Cheng Kung University, Tainan 70101, Taiwan, China;2. Department of Applied Mathematics, National Sun Yat-sen University, Kaohsiung 80424, Taiwan, China
Abstract:This paper proposes a new Adomian decomposition method by using integrating factor. Nonlinear models are solved by this method to get more reliable and efficient numerical results. It can also solve ordinary differential equations where the traditional one fails. Besides, the complete error analysis for this method is presented.
Keywords:Adomian decomposition  integrating factor  nonlinearity  analytic solution  Taylor series  error analysis  
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