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 ...

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 ...

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 ...

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 ...

Systems of nonlinear equations are known as the basis for many models of engineering and data science, and their accurate solutions are very critical in achieving progress in these fields. However, ...

This laboratory work focuses on implementing iterative loops to solve nonlinear equations using the simple iteration method. The task involves finding an approximate root of a given equation with a ...

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