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Two Bi-Accelerator Improved with Memory Schemes for Solving Nonlinear Equations

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  • J. P. Jaiswal

Abstract

The present paper is devoted to the improvement of the -order convergence of with memory derivative free methods presented by Lotfi et al. (2014) without doing any new evaluation. To achieve this aim one more self-accelerating parameter is inserted, which is calculated with the help of Newton’s interpolatory polynomial. First theoretically it is proved that the -order of convergence of the proposed schemes is increased from 6 to 7 and 12 to 14, respectively, without adding any extra evaluation. Smooth as well as nonsmooth examples are discussed to confirm theoretical result and superiority of the proposed schemes.

Suggested Citation

  • J. P. Jaiswal, 2015. "Two Bi-Accelerator Improved with Memory Schemes for Solving Nonlinear Equations," Discrete Dynamics in Nature and Society, Hindawi, vol. 2015, pages 1-7, February.
    • Handle: RePEc:hin:jnddns:938606
    DOI: 10.1155/2015/938606
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    Cited by:

    1. Uriel Filobello-Nino & Hector Vazquez-Leal & Jesús Huerta-Chua & Jaime Martínez-Castillo & Agustín L. Herrera-May & Mario Alberto Sandoval-Hernandez & Victor Manuel Jimenez-Fernandez, 2022. "The Enhanced Fixed Point Method: An Extremely Simple Procedure to Accelerate the Convergence of the Fixed Point Method to Solve Nonlinear Algebraic Equations," Mathematics, MDPI, vol. 10(20), pages 1-19, October.

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