An application of nonlinear integro-differential equations by differential transform method with Adomian polynomials

被引：0

作者：

Bao X. ^{[1
]}

Chan Y. ^{[1
]}

机构：

[1] Institute for Advanced Study, Shenzhen University, Nanshan District, Guangdong, Shenzhen

来源：

International Journal of Dynamical Systems and Differential Equations | 2023年 / 12卷 / 06期

关键词：

ADM; Adomian polynomials; differential transform method; DTM; nonlinear dynamic system; nonlinear equations; nonlinear integro-differential equations; robot dynamics model; spherical robots;

D O I：

10.1504/IJDSDE.2022.10053144

中图分类号：

学科分类号：

摘要：

In this paper, we introduce the modified differential transform method (MDTM), where the nonlinear terms in nonlinear integro-differential equations are replaced by Adomian polynomials so as to make the differential transform method (DTM) more efficient to compute. We provide a simple numerical example to illustrate its application. The modified method is also used to solve a nonlinear dynamic system problem of spherical robots. Copyright © 2022 Inderscience Enterprises Ltd.

引用

页码：467 / 476

页数：9

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