ABSTRACT

Numerical analysis is a subject that involves computational methods for studying and solving mathematical problems. It is a branch of mathematics and computer science that creates, analyzes, and implements algorithms for solving mathematical problems numerically. Numerical methods usually emphasize on the implementation of the numerical algorithms. The aim of these methods is, therefore, to provide systematic techniques for solving mathematical problems numerically. Numerical methods are well suited for solving mathematical problems by using modern digital computers, which are very fast and efficient in performing arithmetic operations. The process of solving problems using high precision digital computers generally involves starting from an initial data; the concerned appropriate algorithms are then executed to yield the required results. Inevitably, the numerical data and the methods used are approximate ones. Hence, the error in the computed result may certainly be caused by the errors in the data, or the errors in the method, or both.