Damghan University Press Analytical and Numerical Solutions for Nonlinear Equations 3060-785X 8 2 2024 11 01 Numerical Solutions of the Mechanical Vibrations via the Haar Wavelet Segmentation Method 191 201 439 10.22128/gadm.2024.875.1120 EN Abdolreza Momeni Department of Mathematics, Faculty of Mathematics, Statistics and Computer Sciences, Semnan University, P.O. Box 35195-363, Semnan, Iran Kazem Nouri Department of Mathematics, Faculty of Mathematics, Statistics and Computer Sciences, Semnan University, P.O. Box 35195-363, Semnan, Iran 0000-0002-7922-5848 Journal Article 2024 09 17 Due to the importance of fluctuating nonlinear differential equations in various branches of engineering‎, ‎basic and applied sciences‎, ‎various analytical and numerical methods have been used by researchers to solve such equations‎. ‎Therefore‎, ‎in this research‎, ‎we have analyzed and investigated such equations and presented a useful method to find the approximate solutions of these equations‎, ‎and we have compared the numerical results obtained from this method with their analytical or Runge-Kutta solutions. https://ansne.du.ac.ir/article_439_ae3027670c3465c54e1f3a81c17cdc57.pdf