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• W1807423533 abstract "The majority of iterative methods to find roots of a function requires the evaluation of derivatives of this function. In this paper, based on the basic principle of the SPH method’s kernel approximation, a kernel approximation was constructed to compute first and second order derivatives through Taylor series expansion. Derivatives in our proposed method were replaced in a Newton-like iterative method to obtain a derivative free SPH iterative method for solving nonlinear systems. To illustrate that the new method has the same order of convergence as the considered iterative method, some numerical examples are presented." @default.
• W1807423533 created "2016-06-24" @default.
• W1807423533 creator A5043663604 @default.
• W1807423533 date "2015-11-01" @default.
• W1807423533 modified "2023-10-05" @default.
• W1807423533 title "Third order derivative free SPH iterative method for solving nonlinear systems" @default.
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• W1807423533 doi "https://doi.org/10.1016/j.amc.2015.08.083" @default.
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