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All Journal Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP)
Mashuri Mashuri
Jurusan Matematika, Universitas Jenderal Soedirman
Mathematics

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SOLUSI PERSAMAAN OSILATOR NONLINIER MENGGUNAKAN METODE HOMOTOPI PERTURBASI Fitri Ferianti Marfungah; Mashuri Mashuri; Bambang Hendriya Guswanto
Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP) Vol 14 No 2 (2022): Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP)
Publisher : Universitas Jenderal Soedirman

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20884/1.jmp.2022.14.2.7227

Abstract

The oscillator is an electronic circuit that is widely used in electronic devices. One of the mathematical models that describe the oscillator problem is the conservative nonlinear oscillator equation. In this study, the conservative nonlinear oscillator equation is discussed in the form of where and are odd functions. The purpose of this study is to find a solution to the conservative nonlinear oscillator equation and to know the simulation of the obtained solution. The method used to find the solution to the equation is the homotopy perturbation method which is a combination of the homotopy and perturbation methods. The search for a solution to the conservative nonlinear oscillator equation using the homotopy perturbation method is also modified by the Lindstedt-Poincare method to deal with secular terms. The simulation results show that the greater the value of , the smaller the angular frequency produced and the fewer waves formed.
Co-Authors Fitri Ferianti Marfungah Guswanto, Bambang Hendriya