Further Acceleration of the Simpson Method for Solving Nonlinear Equations

There are two aims of this paper, firstly, we present an improvement of the classical Simpson third-order method for finding zeros a nonlinear equation and secondly, we introduce a new formula for approximating second-order derivative. The new Simpson-type method is shown to converge of the order four. 

https://www.rajpub.com/index.php/jam/article/view/7415

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