Discover new iterative methods for solving nonlinear equations in this paper. We analyze their convergence and compare them to existing methods.

Discover new iterative methods of order four and five using modified homotopy perturbation technique. Explore their convergence analysis and application in solving nonlinear problems.

This paper proposes a class of asynchronous block iterative methods for solving large scale nonlinear equations F(x) = 0 and proves local convergence. This method splits F into p blocks, then does the ...

In recent years, much attention has been given to develop several iterative methods for solving nonlinear equations. For instance, Two-point methods have been suggested by combining the well-known ...

Picard iteration: A basic iterative method for solving differential and integral equations, wherein successive approximations are generated by a fixed-point formulation.

In recent years, much attention has been given to develop several iterative methods for solving nonlinear equations. For instance, Two-point methods have been suggested by combining the well-known ...

In this paper, a new two-parameter family of combined iterative methods for solving nonlinear equations is presented. The new methods require two evaluations of the function and two evaluations of its ...

The paper deals with a numerical method for solving nonlinear integro-parabolic problems of Fredholm type. A monotone iterative method, based on the method of upper and lower solutions, is constructed ...

In this paper, two new families of eighth-order iterative methods for solving nonlinear equations are presented. These methods are developed by combining a class of optimal two-point methods and a ...