A Steffensen-type Method With Memory Using A Novel Self-accelerating Parameter

The problem of solving nonlinear equations not only plays an important role in the field of applied mathematics,but also has a wide range of applications in the fields of computer science,chemistry and physics.The research of this problem has greatly promoted the integration and development of mathematics and computational science.A fourth-order Steffensen-type method without memory for solving nonlinear equations is put forward based on Steffensen-type methods.According to this method without memory and Wang's method,a new technique is applied to construct the self-accelerating parameter of the new method,which does not increase the extra computational costs,saving computation time.Numerical experiments are made to show the performance of the new method,which show the method has smaller absolute error and the convergence order of the new iterative method is increased from 4 to 4.2592.