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Volume 29, Issue 4
A New Kind of Iteration Method for Finding Approximate Periodic Solutions to Ordinary Differential Equations

Dongxu Wu, Cailing Wang & Xu Xu

Commun. Math. Res., 29 (2013), pp. 297-304.

Published online: 2021-05

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  • Abstract

In this paper, a new kind of iteration technique for solving nonlinear ordinary differential equations is described and used to give approximate periodic solutions for some well-known nonlinear problems. The most interesting features of the proposed methods are its extreme simplicity and concise forms of iteration formula for a wide range of nonlinear problems.

  • Keywords

iteration method, approximate periodic solution, ordinary differential equation.

  • AMS Subject Headings

35A15, 34A34, 34B15, 34C15

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{CMR-29-297, author = {Wu , DongxuWang , Cailing and Xu , Xu}, title = {A New Kind of Iteration Method for Finding Approximate Periodic Solutions to Ordinary Differential Equations}, journal = {Communications in Mathematical Research }, year = {2021}, volume = {29}, number = {4}, pages = {297--304}, abstract = {

In this paper, a new kind of iteration technique for solving nonlinear ordinary differential equations is described and used to give approximate periodic solutions for some well-known nonlinear problems. The most interesting features of the proposed methods are its extreme simplicity and concise forms of iteration formula for a wide range of nonlinear problems.

}, issn = {2707-8523}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cmr/18993.html} }
TY - JOUR T1 - A New Kind of Iteration Method for Finding Approximate Periodic Solutions to Ordinary Differential Equations AU - Wu , Dongxu AU - Wang , Cailing AU - Xu , Xu JO - Communications in Mathematical Research VL - 4 SP - 297 EP - 304 PY - 2021 DA - 2021/05 SN - 29 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/cmr/18993.html KW - iteration method, approximate periodic solution, ordinary differential equation. AB -

In this paper, a new kind of iteration technique for solving nonlinear ordinary differential equations is described and used to give approximate periodic solutions for some well-known nonlinear problems. The most interesting features of the proposed methods are its extreme simplicity and concise forms of iteration formula for a wide range of nonlinear problems.

Wu , DongxuWang , Cailing and Xu , Xu. (2021). A New Kind of Iteration Method for Finding Approximate Periodic Solutions to Ordinary Differential Equations. Communications in Mathematical Research . 29 (4). 297-304. doi:
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