On Popovski’s method for nonlinear equations

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摘要

Two different modifications of Popovski’s method are developed, both are free of second derivatives. In the first modified scheme we traded the second derivative by an additional function evaluation. In the second method we replaced the second derivative by a finite difference and thus reducing the order slightly and reducing the number of evaluations per step by one. Therefore the second modification is more efficient.

论文关键词:Nonlinear equations,Simple roots,Popovski’s method,Chebyshev’s method

论文评审过程:Available online 15 January 2008.

论文官网地址:https://doi.org/10.1016/j.amc.2008.01.012