Adomian polynomials method for dynamic equations on time scales

A recent study on solving nonlinear differential equations by a Laplace transform method combined with the Adomian polynomial representation, is extended to the more general class of dynamic equations on arbitrary time scales. The derivation of the method on time scales is presented and applied to...

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Bibliographic Details
Main Authors: Svetlin G. Georgiev, İnci M. Erhan
Format: Article
Language:English
Published: ATNAA 2021-04-01
Series:Advances in the Theory of Nonlinear Analysis and its Applications
Subjects:
Online Access:https://dergipark.org.tr/tr/download/article-file/1574029
Description
Summary:A recent study on solving nonlinear differential equations by a Laplace transform method combined with the Adomian polynomial representation, is extended to the more general class of dynamic equations on arbitrary time scales. The derivation of the method on time scales is presented and applied to particular examples of initial value problems associated with nonlinear dynamic equations of first order.
ISSN:2587-2648