In this paper,we construct a new sixth order iterative method for solving nonlinear equations.The local convergence and order of convergence of the new iterative method is demonstrated.In order to check the validity of the new iterative method,we employ several chemical engineering applications and academic test problems.Numerical results show the good numerical performance of the new iterative method.Moreover,the dynamical study of the new method also supports the theoretical results.
关键词
非线性方程组/六阶方法/局部收敛性/吸引域
Key words
Nonlinear equation/Sixth order method/Local convergence/Basin of attraction
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基金项目
National Natural Science Foundation of China(12271518)
Key Program of the National Natural Science Foundation of China(62333016)