Malaysian Journal of Mathematical Sciences, April 2019, Vol. 13(S)
Special Issue: 3rd International Conference on Mathematical Sciences and Statistics (ICMSS2018)
Third Order Convergence Iterative Method for Multiple Roots of Nonlinear Equation
Jamaludin, N. A. A., Nik Long, N. M. A., Salimi, M., and Ismail, F.
Corresponding Email: nmasri@upm.edu.my
Received date: -
Accepted date: -
Abstract:
We present a new third-order convergence iterative method for solving multiple roots of nonlinear equation, which requires one function evaluation and two evaluation of the first derivative of function per step. Our present method free from the second derivative function. The error term is proved to possess a third-order method. Numerical experiments exhibit that our method gives the smallest error of bound per iteration and it is highly accurate as compared to other existing iterative methods.
Keywords: Multi-point iterative methods, Multiple roots, Nonlinear equations, Order of convergence, Root-finding
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