Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
854759 | Procedia Engineering | 2015 | 8 Pages |
Abstract
In this paper an improved bi-parametric self-accelerating family of three-point derivative free methods for solving nonlinear equa- tions with memory is presented. Self-accelerating parameters are calculated by Newton's interpolatory polynomial of degree four and five. The importance of imposing two parameters is that they accelerated the R-order convergence of the existing method from 12 to 14 without any additional evaluations. Finally, numerical examples and comparisons are included to confirm the theoretical result and high computational efficiency.
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