Homotopy Analysis Method: a New Analytic Method for Nonlinear Problems

Liao Shijun

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Article Navigation > Applied Mathematics and Mechanics > 1998 > 19(10): 885-890

Liao Shijun, . Homotopy Analysis Method: a New Analytic Method for Nonlinear Problems[J]. Applied Mathematics and Mechanics, 1998, 19(10): 885-890.

Citation:

Liao Shijun, . Homotopy Analysis Method: a New Analytic Method for Nonlinear Problems[J]. Applied Mathematics and Mechanics, 1998, 19(10): 885-890.

Citation:

Liao Shijun, . Homotopy Analysis Method: a New Analytic Method for Nonlinear Problems[J]. Applied Mathematics and Mechanics, 1998, 19(10): 885-890.

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Homotopy Analysis Method: a New Analytic Method for Nonlinear Problems

Liao Shijun,

Shanghai Jiaotong University, Shanghai 200030, P.R.China

Received Date: 1997-05-27
Publish Date: 1998-10-15

Abstract

Abstract

In this paper, the basic ideas of a new analytic technique, namely the Homotopy Analysis Method (HAM), are described. Differem from perturbation methods, the validity of the HAM is independent on whether or not there exist small parameters in considered nonlinear equations. Therefore, it provides us with a powerful analytic tool for strongly nonlinear problems. A typical nonlinear problem is used as an example to verify the validity and the great potential of the HAM.
- nonlinear analytic technique,
- strong nonlinearity,
- homotopy,
- topology

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References(15)

References

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