On Popovski’s method for nonlinear equations
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Two different modifications of Popovski’s method are developed, both are free of second derivatives. In the first mod- ified 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.
Applied Mathematics and Computation, 201, (2008), 710–715.The article of record as published may be located at http://dx.doi.org/10.1016/j.amc.2008.01.012
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