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Adomian decomposition and Padé approximate for solving differential-difference equation |
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| Authors: | Zhen Wang Li Zou Zhi Zong |
| Institution: | a School of Mathematical Science, Dalian University of Technology, Dalian 116085, China b School of Aeronautics and Astronautics, Dalian University of Technology, Dalian 116085, China c School of Naval Architecture, Dalian University of Technology, Dalian 116085, China d The State Key Laboratory of Structure Analysis for Industrial Equipment, Dalian 116085, China |
| Abstract: | In this paper, we apply the Adomian decomposition method and Padé-approximate to solving the differential-difference equations (DDEs) for the first time. A simple but typical example is used to illustrate the validity and the great potential of the Adomian decomposition method (ADM) in solving DDEs. Comparisons are made between the results of the proposed method and exact solutions. The results show that ADM is an attractive method in solving the differential-difference equations. |
| Keywords: | Differential-difference equation Adomian decomposition method Padé -ADM approximation Volterra equation Discrete mKdV equation |
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