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Adomian Decomposition Method Using Integrating Factor |
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| Authors: | Yinwei Lin Tzon-Tzer Lu Cha'o-Kuang Chen |
| Institution: | 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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