eng Ansari Education and Research Society Journal of Ultra Scientist of Physical Sciences December 2009 21 3 909 914 jusps-A 1274 article S. Seddighi Chaharborj, 1 M. R. Abu Bakar, 1 A. Ebadian 2 H. Sedghi 3 S.M. Sadat Kiaiu00a0 3 Department of Mathematics, Faculty of Science, UPM, University Putra Malaysia - 43400 UPM Department of Mathematics, Faculty of Science, Urmia University, Urmia (IRAN) Physics Department, Nuclear Science Research School, Nuclear Science and Technology Research Institute (NSTRI), P.O. No. 14395-836 Tehran (IRAN) <p style="text-align:justify">In this article the Homotopy Analysis Method (HAM) is employed to compute an analytical approximation to the solution of the Harmonic oscillator, Duffing oscillator and Beam-beam interaction in storage rings under the influence of noise. Some plots are presented to show the reliability and simplicity of the method.</p> https://www.ultrascientist.org/paper/1274/ Analytical Solution Equation