Numerical Solution of Interval Nonlinear System of Equations

Abstract

Nonlinear system of equations has a wide range of applications in both science and engineering. But usually the variables and parameters may not be found as crisp numbers. So, the nonlinear system of equations have been considered in interval form. The basic concepts about interval arithmetic has been discussed. Three methods has been presented to solve interval nonlinear system of equations followed by some examples. The interval form is converted to crisp system of equations by the help of vertex method and then the same may be solved by Newton’s method. The Krawczyk method has been presented to solve these type of problems too. Finally, a new method has been proposed which is computationally efficient than vertex method. Accordingly some examples have been solved using all the methods to show the comparison and reliability of the methods.