An application of nonlinear integro-differential equations by differential transform method with Adomian polynomials. (1st January 2023)

• Record Type: Journal Article
• Authors: Bao, Xuchao; Chan, Yue
• Is Part Of: International journal of dynamical systems and differential equations. Volume 12:Number 6(2022)
• Page Start: 467
• Page End: 476
• Publication Date: 2023-01-01
• Subjects: Adomian polynomials -- nonlinear integro-differential equations -- DTM -- differential transform method -- nonlinear dynamic system -- spherical robots -- nonlinear equations -- ADM -- robot dynamics model -- spherical robots; Differential equations -- Periodicals; 515.35
• Languages: English
• ISSNs: 1752-3583

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.