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

J. P. Jaiswal

Discrete Dynamics in Nature and Society, 2015, vol. 2015, 1-7

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.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:938606

DOI: 10.1155/2015/938606

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