Interval Arithmetic for Nonlinear Problem Solving

Table 4

Results for Case 3.

Domain	Equations	Roots	Subset	Method
[29.31, 426.43]	alpha=(𝑣∗(𝑣+𝑏)+𝑏∗(𝑣−𝑏))	𝑣=100.0632	4031	N
	beta=(𝑣−𝑏)	𝑣=100.0632	4031	B
	𝑃∗alpha∗beta−RT∗alpha+𝑎∗beta=0	𝑣=160.6770	4181	N
	𝑇=301𝐾	𝑣=160.6770	4181	B
	𝑃=68.18 bar	𝑣=79.6437	4238	N
	𝑏=26.6520264 cm^3/gmol	𝑣=79.6437	4238	B
			Total
			4332	N
			4332	B