A family of fifth-order iterative methods for finding multiple roots of nonlinear equations
J.R. Sharma1, H. Arora2
1Sant Longowal Institute of Engineering and Technology, Longowal, Punjab, India
2D.A.V. University, Sarmastpur, Jalandhar, India
Keywords: nonlinear equations, iterative methods, fast algorithms, multiple roots, attraction basins
Abstract
We present a family of fifth order iterative methods for finding multiple roots of nonlinear equations. Numerical examples are considered to check the validity of theoretical results. The results show that the new methods are competitive to other methods for multiple roots. Basins of attraction for new methods and some existing methods are drawn to observe the dynamics in the complex plane.
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