Adomian decomposition and Padé approximate for solving differential-difference equation

Zhen Wang; Li Zou; Zhi Zong

doi:10.1016/j.amc.2011.06.019

Adomian decomposition and Padé approximate for solving differential-difference equation

Zhen Wang^*
, Li Zou
, Zhi Zong

^*此作品的通讯作者

Dalian University of Technology
State Key Laboratory of Structure Analysis for Industrial Equipment

科研成果: 期刊稿件 › 文章 › 同行评审

19 引用（Scopus）

摘要

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.

源语言	英语
页（从-至）	1371-1378
页数	8
期刊	Applied Mathematics and Computation
卷	218
期	4
DOI	https://doi.org/10.1016/j.amc.2011.06.019
出版状态	已出版 - 15 10月 2011
已对外发布	是

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title = "Adomian decomposition and Pad{\'e} approximate for solving differential-difference equation",

abstract = "In this paper, we apply the Adomian decomposition method and Pad{\'e}-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 = "Adomian decomposition method, Differential-difference equation, Discrete mKdV equation, Pad{\'e}-ADM approximation, Volterra equation",

author = "Zhen Wang and Li Zou and Zhi Zong",

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AU - Wang, Zhen

AU - Zou, Li

AU - Zong, Zhi

PY - 2011/10/15

Y1 - 2011/10/15

N2 - 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.

AB - 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.

KW - Adomian decomposition method

KW - Differential-difference equation

KW - Discrete mKdV equation

KW - Padé-ADM approximation

KW - Volterra equation

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JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

IS - 4

ER -

Adomian decomposition and Padé approximate for solving differential-difference equation

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