Novel approach for solving higher-order differential equations with applications to the Van der Pol and Van der Pol–Duffing equations

Novel approach for solving higher-order differential equations with applications to the Van der Pol and Van der Pol–Duffing equations

Abstract Background Numerical methods are used to solve differential equations, but few are effective for nonlinear ordinary differential equations (ODEs) of order higher than one. This paper proposes a new method for such ODEs, based on Taylor series expansion. The new method is a second-order meth...

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Bibliographic Details
Main Authors: Abdelrady Okasha Elnady, Ahmed Newir, Mohamed A. Ibrahim
Format: Article
Language:English
Published: SpringerOpen 2024-03-01
Series:Beni-Suef University Journal of Basic and Applied Sciences
Subjects:
Van der Pol
Duffing
Van der Pol–Duffing
Nonlinear differential equation
Taylor expansion
Online Access:https://doi.org/10.1186/s43088-024-00484-y

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