An application of nonlinear integro-differential equations by differential transform method with Adomian polynomials
by Xuchao Bao; Yue Chan
International Journal of Dynamical Systems and Differential Equations (IJDSDE), Vol. 12, No. 6, 2022

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.

Online publication date: Fri, 06-Jan-2023

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