Applied and Computational Mathematics

Archive

Volume 5, Issue 6, December 2016

  • The Average Dwell Time Condition Is Necessary & Sufficient for Arbitrary Switching Stability of Switched Nonlinear Systems

    Jiqiang Wang

    Issue: Volume 5, Issue 6, December 2016
    Pages: 230-233
    Received: 12 October 2016
    Accepted: 14 November 2016
    Published: 8 December 2016
    DOI: 10.11648/j.acm.20160506.11
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    Abstract: Constrained switching of switched nonlinear systems consists of many classes of switching signals with markedly different features. One of the most important ones is the average dwell time (ADT) switching. For switched systems, it is a well-known result that a switched nonlinear system is globally uniformly asymptotically stable under arbitrary swi... Show More
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  • 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
    DOI: 10.11648/j.acm.20160506.12
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    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 ... Show More
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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
    DOI: 10.11648/j.acm.20160506.13
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    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... Show More
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