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Homotopy perturbation method with two expanding parameters

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Abstract

A homotopy perturbation method with two expanding parameters is suggested. The method is especially effective for a nonlinear equation with two nonlinear terms, which might have different effects on the solution. A nonlinear oscillator is used as an example to elucidate the solution procedure.

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Acknowledgments

The work is supported by Priority Academic Program Development of Jiangsu Higher Education Institutions (PAPD).

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Authors and Affiliations

  1. National Engineering Laboratory for Modern Silk, College of Textile and Clothing Engineering, Soochow University, 199 Ren-Ai Road, Suzhou, 215123, China

    J. H. He

  2. School of Information Engineering, Zhejiang A&F University, Linan, 311300, China

    J. H. He

  3. Modern Textile Institute, Donghua University, Shanghai, 200051, China

    J. H. He

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  1. J. H. He
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Correspondence to J. H. He.

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He, J.H. Homotopy perturbation method with two expanding parameters. Indian J Phys 88, 193–196 (2014). https://doi.org/10.1007/s12648-013-0378-1

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  • DOI: https://doi.org/10.1007/s12648-013-0378-1

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