ABSTRACT
240Numerical analysis is a rapidly growing field, with new techniques being developed constantly. The branch of mathematics concerned with finding accurate approximations to the solutions of problems whose exact solution is either impossible or infeasible to determine. In addition to the approximate solution, a realistic bound is needed for the error associated with the approximate solution. Typically, a mathematical model for a particular problem, generally consisting of mathematical equations with constraint conditions, is constructed by specialists in the area concerned with the problem. Numerical analysis is concerned with devising methods for approximating the solution to the model and analyzing the results for stability, speed of implementation, and appropriateness to the situation. The aim of this chapter is studying the most important numerical methods for solving equations.
