Adomian polynomials method for dynamic equations on time scales

Open Access

Original research article

Author(s):

Svetlin G. Georgiev^a, İnci M. Erhan^b

^aSorbonne University, Paris, France.
^bAtılım University, Department of Mathematics, Ankara, Turkey.

Advances in the Theory of Nonlinear Analysis and its Applications 5(3), 300-315.

Received: February 12, 2021

Accepted: April 28, 2021

Published: April 30, 2021

Abstract

A recent study on solving nonlinear differential equations using the Laplace transform method combined with 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 specific examples of initial value problems associated with nonlinear first-order dynamic equations.

Keywords: Time scale; Adomian polynomials; Laplace transform; Dynamic equation.

Share & Cite

APA Style

Georgiev, S., & Erhan, İ. M. (2020). Adomian polynomials method for dynamic equations on time scales. Advances in the Theory of Nonlinear Analysis and its Application, 5(3), 300-315.