Abstract

The interval Newton's method in conjunction with generalized bisection, as implemented in the public domain software program INTBIS by Kearfott and Novoa, is a method of solving single and simultaneous nonlinear equations. In this paper, this method is used to solve 15 test problems from different chemical engineering application areas, and an ill-scaled transcendental equation. The interval method as implemented in INTBIS is capable of finding all the real roots of an equation within a specified domain. The complex roots were found by representing every complex variablez=x+iy by two real-valued variablesx andy. For polynomial equations, the computer time for INTBIS is compared to that of the parallel-path continuation method of Morgan as implemented in the public domain software program CONSOL8.

Full Text
Published version (Free)

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call