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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Kaerntner Botanikzentrum, Klagenfurt, Austria
2015
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/44788/ http://irep.iium.edu.my/44788/1/Solution_for_a_Conservative_Nonlinear_Singular_Oscillator_in_Plasma_Physics_Using_Harmonic_Balance_Method-Published.pdf |
| Summary: | 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. |
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