Chiang Mai Journal of Science

Comparing Numerical Methods for Multicomponent Gas Separation by Single Permeation Unit

Paper Type	Contributed Paper
Title	Comparing Numerical Methods for Multicomponent Gas Separation by Single Permeation Unit
Author	Muhammad Ahsan*, Arshad Hussain
Email	ahsan@scme.nust.edu.pk, ahsan.nust@hotmail.com
Abstract:  This paper 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 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 numerical values in the literature.
Start & End Page	184 - 199
Received Date	2012-07-11
Revised Date
Accepted Date	2013-09-16
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Volume	Vol.41 No.1 (JANUARY 2014)
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