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The secant–homotopy continuation method

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  • Wu, Tzong-Mou

Abstract

A new secant–homotopy continuation formula is presented. In this paper, the traditional Newton–Raphson method is modified by the secant theory, and the homotopy continuation technique is applied to a new secant–homotopy continuation formula. By means of adjusting the auxiliary function, we can solve the nonlinear equations and guarantee the solutions exactly without divergence rather than the traditional numerical methods such as the Newton–Raphson method.

Suggested Citation

  • Wu, Tzong-Mou, 2007. "The secant–homotopy continuation method," Chaos, Solitons & Fractals, Elsevier, vol. 32(2), pages 888-892.
    • Handle: RePEc:eee:chsofr:v:32:y:2007:i:2:p:888-892
    DOI: 10.1016/j.chaos.2005.11.041
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    References listed on IDEAS

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    1. He, Ji-Huan, 2005. "Application of homotopy perturbation method to nonlinear wave equations," Chaos, Solitons & Fractals, Elsevier, vol. 26(3), pages 695-700.
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