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Some second-derivative-free sixth-order convergent iterative methods for non-linear equations |
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| รหัสดีโอไอ | |
| Creator | 1. Farooq Ahmed Shah 2. Muhammad Aslam Noor 3. Muhammad Waseem |
| Title | Some second-derivative-free sixth-order convergent iterative methods for non-linear equations |
| Publisher | Maejo University |
| Publication Year | 2559 |
| Journal Title | Maejo International Journal of Science and Technology |
| Journal Vol. | 10 |
| Journal No. | 1 |
| Page no. | 79 |
| Keyword | non-linear equations,variational iteration technique,Newton's method,Taylor series |
| ISSN | 1905-7873 |
| Abstract | We use the variational iteration technique to suggest some new iterative methods for solving non-linear equations f(x) = 0. We discuss the convergence criteria of these new iterative methods. A comparison with other similar methods is also given. These new methods can be considered as an alternative to the existing methods. Several examples to illustrate the efficiency and performance of these methods are given. This technique can be used to suggest a wide class of new iterative methods for solving a system of non-linear equations. |
