A Modified Method of Averaging for Solving a Class of Nonlinear Equations

Zhang Bao-shan

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Article Navigation > Applied Mathematics and Mechanics > 1994 > 15(12): 1119-1126

Zhang Bao-shan. A Modified Method of Averaging for Solving a Class of Nonlinear Equations[J]. Applied Mathematics and Mechanics, 1994, 15(12): 1119-1126.

Citation:

Zhang Bao-shan. A Modified Method of Averaging for Solving a Class of Nonlinear Equations[J]. Applied Mathematics and Mechanics, 1994, 15(12): 1119-1126.

Citation:

Zhang Bao-shan. A Modified Method of Averaging for Solving a Class of Nonlinear Equations[J]. Applied Mathematics and Mechanics, 1994, 15(12): 1119-1126.

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A Modified Method of Averaging for Solving a Class of Nonlinear Equations

Zhang Bao-shan

Departtment of Math, Xuzhou Teackers College, Xuzkou

Received Date: 1994-02-28
Publish Date: 1994-12-15

Abstract

Abstract

In this paper, we studied a method of averaging which decide a uniform valid solution for nonlinear equation and got the, modified forms for KB, method (Krylov-Bogoliubov method)and KBM method (Krytov-Bogoliubov-Mitropolski method). Through the comparison of two examples with the method of multiple scales it can be shown that the modifies averaging methods here are uniformly valid and there by the applied area of the method of averaging are extended.
- KB method,
- KBM method,
- method of multiple scales,
- uniformlyvalid solution

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References(5)

References

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