Asymptotology by homotopy perturbation method

@article{He2004AsymptotologyBH,
  title={Asymptotology by homotopy perturbation method},
  author={Ji-Huan He},
  journal={Applied Mathematics and Computation},
  year={2004},
  volume={156},
  pages={591-596}
}
In the paper, an heuristical example is given to illustrate the basic idea of the homotopy perturbation method, so that homotopy perturbation method has made all that is necessary simple, and all that is complex unnecessary. 2003 Elsevier Inc. All rights reserved. 
Highly Cited
This paper has 230 citations. REVIEW CITATIONS

From This Paper

Topics from this paper.

Citations

Publications citing this paper.
Showing 1-10 of 70 extracted citations

Analysis of Eyring-Powell Fluid in Helical Screw Rheometer

TheScientificWorldJournal • 2014
View 2 Excerpts
Highly Influenced

230 Citations

02040'09'12'15'18
Citations per Year
Semantic Scholar estimates that this publication has 230 citations based on the available data.

See our FAQ for additional information.

References

Publications referenced by this paper.
Showing 1-10 of 12 references

Asymptotology: Ideas

I. Andrianov, L. Manevitch
Methods, and Applications, Kluwer Academic Publishers • 2003
View 3 Excerpts

Homotopy perturbation method: a new nonlinear analytical technique

Applied Mathematics and Computation • 2003
View 2 Excerpts

A note on delta-perturbation expansion method

J. H. He
Applied Mathematics and Mechanics 23 (6) • 2002

Recent developments in asymptotic methods for nonlinear ordinary equations

J. H. He
in: Invited Lecture Delivered at 10th International Colloquium on Numerical Analysis and Computer Science with Applications, Plovidiv, Bulgaria, 12–17 August 2001International Journal of Computational and Numerical Analysis and Applications 2 (2) • 2002

Bookkeeping parameter in perturbation methods

J. H. He
International Journal of Nonlinear Science and Numerical Simulation 2 (3) • 2001
View 1 Excerpt

Iteration perturbation method for strongly nonlinear oscillations

J. H. He
Journal of Vibration and Control 7 (5) • 2001
View 1 Excerpt

Modified Lindstedt–Poincare methods for some strongly nonlinear oscillations

J. H. He
Part III: Double series expansion, International Journal of Nonlinear Science and Numerical Simulation 2 (4) • 2001
View 1 Excerpt

A review on some new recently developed nonlinear analytical techniques

J. H. He
International Journal of Nonlinear Sciences and Numerical Simulation 1 (1) • 2000

Construction of periodic solution to partial differential equations with nonlinear boundary conditions

I. Andrianov, J. Awrejcewicz
International Journal of Nonlinear Sciences and Numerical Simulation 1 (4) • 2000

Variational iteration method: a kind of nonlinear analytical technique: some examples

J. H. He
International Journal of Nonlinear Mechanics 34 (4) • 1999
View 1 Excerpt