1 Introduction In recent years, large-scale systems of nonlinear equations have become increasingly important in many scientific and engineering fields. Solving these equations is essential for ...

The HPM has become a widely-used technique to solve a large variety of problems in different fields and many research papers have been published each year using this method as evidenced by a simple ...

This paper discusses the accelerating iterative methods for solving the implicit scheme of nonlinear parabolic equations. Two new nonlinear iterative methods named by the implicit-explicit ...

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 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 ...

where x is a vector and F is a vector-valued, possibly nonlinear, function. In order to find x such that F goes to 0, an initial estimate x0 is chosen, and Newton's iterative method for converging to ...

Learn and revise how to solve quadratic equations by factorising, completing the square and using the quadratic formula with GCSE Bitesize AQA Maths.