Higher-Order Solutions of Coupled Systems Using the Parameter Expansion Method
2009 ◽
Vol 2009
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pp. 1-20
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Keyword(s):
We consider periodic solution for coupled systems of mass-spring. Three practical cases of these systems are explained and introduced. An analytical technique called Parameter Expansion Method (PEM) was applied to calculate approximations to the achieved nonlinear differential oscillation equations. Comparing with exact solutions, the first approximation to the frequency of oscillation produces tolerable error 3.14% as the maximum. By the second iteration the respective error became 1/5th, as it is 0.064%. So we conclude that the first approximation of PEM is so benefit when a quick answer is required, but the higher order approximation gives a convergent precise solution when an exact solution is required.
2007 ◽
Vol 62
(7-8)
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pp. 396-398
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2013 ◽
Vol 16
(4)
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pp. 681-687
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2012 ◽
Vol 7
(7)
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pp. 514-522
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1999 ◽
Vol 57
(4)
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pp. 601-620
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2008 ◽
Vol 35
(4)
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pp. 688-691
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Keyword(s):
2006 ◽
Vol 79
(6)
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pp. 1169-1178
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Keyword(s):
2008 ◽
Vol 96
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pp. 012215
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