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Volume 7, Issue 1
Enhancing Jerk Nonlinear Equation by Adomain Decomposition Method

Abdulrahmn N. Akour, Emad K. Jaradat, Hadeel Saqa-Allah & Omar K. Jaradat

DOI: 10.12150/jnma.2025.178

J. Nonl. Mod. Anal., 7 (2025), pp. 178-188.

Published online: 2025-02

[An open-access article; the PDF is free to any online user.]

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  • Abstract

In this manuscript, an approximate periodic solution of a nonlinear Jerk equation concerning the third order time derivative (ODE) is demonstrated. This method succeeds highly in constructing a periodic solution for Jerk nonlinear differential equations. The results investigated from this method are compared with those determined from other analytical and numerical methods. Our results demonstrate a significant consistency with the numerical solution in addition to the analytical methods.

  • Keywords

Adomian decomposition method, nonlinear Jerk equation, high order differential equation.

  • AMS Subject Headings

34A34 , 70Kxx

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JNMA-7-178, author = {N. Akour , AbdulrahmnK. Jaradat , EmadSaqa-Allah , Hadeel and K. Jaradat , Omar}, title = {Enhancing Jerk Nonlinear Equation by Adomain Decomposition Method}, journal = {Journal of Nonlinear Modeling and Analysis}, year = {2025}, volume = {7}, number = {1}, pages = {178--188}, abstract = {

In this manuscript, an approximate periodic solution of a nonlinear Jerk equation concerning the third order time derivative (ODE) is demonstrated. This method succeeds highly in constructing a periodic solution for Jerk nonlinear differential equations. The results investigated from this method are compared with those determined from other analytical and numerical methods. Our results demonstrate a significant consistency with the numerical solution in addition to the analytical methods.

}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2025.178}, url = {http://global-sci.org/intro/article_detail/jnma/23838.html} }
TY - JOUR T1 - Enhancing Jerk Nonlinear Equation by Adomain Decomposition Method AU - N. Akour , Abdulrahmn AU - K. Jaradat , Emad AU - Saqa-Allah , Hadeel AU - K. Jaradat , Omar JO - Journal of Nonlinear Modeling and Analysis VL - 1 SP - 178 EP - 188 PY - 2025 DA - 2025/02 SN - 7 DO - http://doi.org/10.12150/jnma.2025.178 UR - https://global-sci.org/intro/article_detail/jnma/23838.html KW - Adomian decomposition method, nonlinear Jerk equation, high order differential equation. AB -

In this manuscript, an approximate periodic solution of a nonlinear Jerk equation concerning the third order time derivative (ODE) is demonstrated. This method succeeds highly in constructing a periodic solution for Jerk nonlinear differential equations. The results investigated from this method are compared with those determined from other analytical and numerical methods. Our results demonstrate a significant consistency with the numerical solution in addition to the analytical methods.

N. Akour , AbdulrahmnK. Jaradat , EmadSaqa-Allah , Hadeel and K. Jaradat , Omar. (2025). Enhancing Jerk Nonlinear Equation by Adomain Decomposition Method. Journal of Nonlinear Modeling and Analysis. 7 (1). 178-188. doi:10.12150/jnma.2025.178
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