Abstract:
This chapter is an effort of comparing numerical methods for the multicomponent membrane
gas separation. As an example for membrane gas separation, a detailed model of co-current
flow process is considered. After the derivation of the model, different numerical techniques
for the solution of mathematical model are presented. Seven different numerical methods such
as Bogacki–Shampine method, Dormand–Prince method, Adams-Bashforth-Moulton method,
numerical differentiation formulas, modified Rosenbrock formula of order 2, Trapezoidal rule
with free interpolant and Trapezoidal rule with backward difference formula of order 2 are used
to solve ordinary differential equations. The methods, problems, and comparison criteria are
stated very carefully. Then the numerical methods are categorized on their stability basis. The
recommended numerical method shows good agreement with the experimental and numerica l
values in the literature.
