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.