Mathematics and Computer Science

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Volume 2, Issue 1, January 2017

  • Investigation of the Numerical Solution of Integral Equation with Kernels Involving Logarithmic Functions

    Azhari Ahmad Abdalla

    Issue: Volume 2, Issue 1, January 2017
    Pages: 1-5
    Received: 21 November 2016
    Accepted: 30 November 2016
    Published: 3 January 2017
    DOI: 10.11648/j.mcs.20170201.11
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    Abstract: The main aim of this paper is to investigate the numerical solution of first kind integral equation of logarithmic kernel when using spectral method. Our approach consists of limiting the boundary to the unit interval and specify a logarithmic kernel. The behavior of the solution on the unit interval was analyzed and the advantages and disadvantage... Show More
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  • Applications of B-transform to Some Impulsive Control Problems

    Benjamin Oyediran Oyelami

    Issue: Volume 2, Issue 1, January 2017
    Pages: 6-13
    Received: 4 September 2016
    Accepted: 17 January 2017
    Published: 21 February 2017
    DOI: 10.11648/j.mcs.20170201.12
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    Abstract: In this paper, B-transform is applied to some impulsive control models and closed solution forms for the models obtained. The problems solved via the B-transform are the third order linear impulsive control systems with bang-bang control, Impulsive delay control systems, Impulsive heat control systems, the Impulsive diffusion problem and the impuls... Show More
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