Mathematical Modelling and Kinetics of Microchannel Reactor
Kirthiga Murali,
Chitra Devi Mohan,
Meena Athimoolam,
Rajendran Lakshmanan
Issue:
Volume 5, Issue 6, December 2016
Pages:
234-246
Received:
19 December 2016
Accepted:
5 January 2017
Published:
23 January 2017
Abstract: The coupled nonlinear system of differential equations in 1-butanol dehydration under atmospheric and isothermal conditions are solved analytically for the microchannel reactor. Approximate analytical expressions of concentrations of 1-butanol, 1-butene, water and dibutyl ether are presented by using homotopy analysis method. The homotopy analysis method eliminated the classical perturbation method problem, because of the existence a small parameter in the equation. The analytical results are compared with the numerical solution and experimental results, satisfactory agreement is noted.
Abstract: The coupled nonlinear system of differential equations in 1-butanol dehydration under atmospheric and isothermal conditions are solved analytically for the microchannel reactor. Approximate analytical expressions of concentrations of 1-butanol, 1-butene, water and dibutyl ether are presented by using homotopy analysis method. The homotopy analysis ...
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Variants of Chebyshev’s Method with Eighth-Order Convergence for Solving Nonlinear Equations
Muhamad Nizam Muhaijir,
M. Imran,
Moh Danil Hendry Gamal
Issue:
Volume 5, Issue 6, December 2016
Pages:
247-251
Received:
26 October 2016
Accepted:
7 January 2017
Published:
3 February 2017
Abstract: This paper develops the variants of Chebyshev’s method by applying Lagrange interpolation and finite difference to eliminate the second derivative appearing in the Chebyshev’s method. The results of this research show that the modified eight-order method has the efficiency index 1.5157. Numerical simulations show that the effectiveness and performance of the new method in solving nonlinear equations are encouraging.
Abstract: This paper develops the variants of Chebyshev’s method by applying Lagrange interpolation and finite difference to eliminate the second derivative appearing in the Chebyshev’s method. The results of this research show that the modified eight-order method has the efficiency index 1.5157. Numerical simulations show that the effectiveness and performa...
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Is Necessary & Sufficient for Arbitrary Switching Stability of Switched Nonlinear Systems
). In this note, it will be shown that this ADT condition is also necessary.