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He, Ji-Huan

An elementary introduction to the homotopy perturbation method. (English) Zbl 1165.65374

Comput. Math. Appl. 57, No. 3, 410-412 (2009).
Summary: This paper is an elementary introduction to the concepts of the homotopy perturbation method. Particular attention is paid to giving an intuitive grasp for the solution procedure throughout the paper.

Cited in 40 Documents

MSC:

65L99 Numerical methods for ordinary differential equations
65-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to numerical analysis

Keywords:

homotopy perturbation method; parameter-expansion method; axisymmetric flow; asymptotic solution; Lindstedt-Poincaré method
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\textit{J.-H. He}, Comput. Math. Appl. 57, No. 3, 410--412 (2009; Zbl 1165.65374)
Full Text: DOI

References:

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