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- Title
Third Order Convergence Iterative Method for Multiple Roots of Nonlinear Equation.
- Authors
Jamaludin, N. A. A.; Nik Long, N. M. A.; Salimi, M.; Ismail, F.
- 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 first derivative of function per step. Our present method free from second derivative function. 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.
- Subjects
ITERATIVE methods (Mathematics); NONLINEAR equations; ORDER
- Publication
Malaysian Journal of Mathematical Sciences, 2019, Vol 13, p51
- ISSN
1823-8343
- Publication type
Article