Solution for a conservative nonlinear singular oscillator in plasma physics using harmonic balance method

In this article, an analytical technique has been developed to determine approximate solutions of nonlinear singular oscillator. Usually, a set of nonlinear algebraic equations is solved in analytical approximate method. However, analytical solutions of these algebraic equations are not always po...

وصف كامل

محفوظ في:
التفاصيل البيبلوغرافية
المؤلفون الرئيسيون: Hosen, Md. Alal, Chowdhury, Md. Sazzad Hossien, Akbar, M. Ali
التنسيق: مقال
اللغة:English
منشور في: Kaerntner Botanikzentrum, Klagenfurt, Austria 2015
الموضوعات:
الوصول للمادة أونلاين:http://irep.iium.edu.my/44788/1/Solution_for_a_Conservative_Nonlinear_Singular_Oscillator_in_Plasma_Physics_Using_Harmonic_Balance_Method-Published.pdf
http://irep.iium.edu.my/44788/
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المؤسسة: Universiti Islam Antarabangsa Malaysia
اللغة: English
الوصف
الملخص:In this article, an analytical technique has been developed to determine approximate solutions of nonlinear singular oscillator. Usually, a set of nonlinear algebraic equations is solved in analytical approximate method. However, analytical solutions of these algebraic equations are not always possible, especially in the case of a large oscillation. In this article, different small parameters of the same nonlinear problems are found, for which the parameter based power series solution to these nonlinear algebraic equations give the desired results even for the large oscillation. The method is illustrated by singular oscillator, but it is also useful for many other nonlinear problems.