latus: a new accelerator for generating combined iterative methods in solving nonlinear equation

Latus: A new accelerator for generating combined iterative methods in solving nonlinear equation

A new iterative with memory class for solving nonlinear ‎equations‎

In this work we develop a new optimal without memory class for approximating a simple root of a nonlinear equation. This class includes three parameters. Therefore, we try to derive some with memory methods so that the convergence order increases as high as possible. Some numerical examples are also ‎presented.‎‎

Iterative methods for solving non linear Fokker-Planck equation

The use of iterative methods for solving Black-Scholes equation

Application of Iterative Methods for Solving General Riccati Equation

New iterative methods with seventh-order convergence for solving nonlinear equations

In this paper, seventh-order iterative methods for the solution ofnonlinear equations are presented. The new iterative methods are developed byusing weight function method and using an approximation for the last derivative,which reduces the required number of functional evaluations per step. Severalexamples are given to illustrate the eciency and the performance of the newiterative methods.