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

An application of nonlinear integro-differential equations by differential transform method with Adomian polynomials (Q2700181)

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An application of nonlinear integro-differential equations by differential transform method with Adomian polynomials
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    An application of nonlinear integro-differential equations by differential transform method with Adomian polynomials (English)
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    20 April 2023
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    Summary: 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.
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    Adomian polynomials
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    nonlinear integro-differential equations
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    differential transform method
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    nonlinear dynamical system
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    spherical robots
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    nonlinear equations
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    robot dynamics model
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