DESIGN AND IMPLEMENTATION OF INTERACTIVE SOFTWARE SYSTEM TO DETERMINE APPROXIMATED ROOTS OF POLYNOMIAL EQUATIONS IN NUMERICAL ANALYSIS USING VISUAL BASIC.NET PROGRAMMING

Abstract

Numerical analysis is concerned with all aspects of the numerical solution of a problem, from the theoretical development and understanding of numerical methods to their practical implementation as reliable and efficient computer programs.  In attaining this, even though the most popular programming languages for implementing numerical analysis methods are Fortran, C, C++ and Java. However, Visual BASIC programming was employed because it is users’ friendly application and highly interactive. This paper is thus designed to determine the approximated roots of polynomial equations in numerical analysis with the adoption of Newton Raphson and Regular Falsi methods. The system allowed the user to flexibly supply the data by giving the sample equations, the initial values as well as the number of iterations that are expected to carry out. The result obtained with problem-solving environments (PSE) which is fully interactive showed that the designed system is very accurate with minimum amount of time expended when compared with the existing method of solving such related numerical polynomial equations.