Mathematical Problems in Engineering / 2009 / Article / Tab 1

Research Article

Higher-Order Solutions of Coupled Systems Using the Parameter Expansion Method

Table 1

Comparison of approximate and exact periods for Case  1.

Constant parametersApproximate solutionsExact solution

11110511.962541.964511.964510.101%0.000%
51.555633.237433.325183.323682.664%0.045%
1010101050100.324180.331450.331432.210%0.031%
50254030100200.256400.262160.262082.216%0.031%
7020−3050100100.604860.618270.618092.187%0.030%
1005015070201000.162210.165860.165802.218%0.031%
5001502201205000.59.676379.716829.716720.417%0.001%
1000500100050050016.732416.758776.758710.391%0.001%

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