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

Authors: Xuchao Bao; Yue Chan

Addresses: Institute for Advanced Study, Shenzhen University, Nanshan District Shenzhen, Guangdong, 518060, China ' Institute for Advanced Study, Shenzhen University, Nanshan District Shenzhen, Guangdong, 518060, China

Abstract: 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.

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

DOI: 10.1504/IJDSDE.2022.128120

International Journal of Dynamical Systems and Differential Equations, 2022 Vol.12 No.6, pp.467 - 476

Accepted: 26 Oct 2021
Published online: 06 Jan 2023 *

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