Mathematics and Computer Science

Archive

Volume 2, Issue 4, July 2017

  • On Van Degrees of Vertices and Van Indices of Graphs

    Süleyman Ediz, Mesut Semiz

    Issue: Volume 2, Issue 4, July 2017
    Pages: 35-38
    Received: 11 May 2017
    Accepted: 27 May 2017
    Published: 7 July 2017
    DOI: 10.11648/j.mcs.20170204.11
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    Abstract: Topological indices have been used to modeling biological and chemical properties of molecules in quantitive structure property relationship studies and quantitive structure activity studies. All the degree based topological indices have been defined via classical degree concept. In this paper we define two novel degree concepts for a vertex of a s... Show More
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  • On the Performance of Haar Wavelet Approach for Boundary Value Problems and Systems of Fredholm Integral Equations

    I. K. Youssef, R. A. Ibrahim

    Issue: Volume 2, Issue 4, July 2017
    Pages: 39-46
    Received: 31 May 2017
    Accepted: 13 June 2017
    Published: 17 July 2017
    DOI: 10.11648/j.mcs.20170204.12
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    Abstract: The Haar wavelet method applied to different kinds of integral equations (Fredholm integral equation, integro-differential equations and system of linear Fredholm integral equations) and boundary value problems (BVP) representation of integral equations. Three test problems whose exact solutions are known were considered to measure the performance ... Show More
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  • On the Existence of Positive Solution for nth Order Differential Equation for Boundary Value Problems

    Mohamed Seddeek, Sayeda Nabhan Odda

    Issue: Volume 2, Issue 4, July 2017
    Pages: 47-50
    Received: 11 May 2017
    Accepted: 6 June 2017
    Published: 31 July 2017
    DOI: 10.11648/j.mcs.20170204.13
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    Abstract: We considering the problem of solving a nonlinear differential equation in the Banach space of real functions and continuous on a bounded and closed interval. By means of the fixed point theory for a strict set contraction operator, this paper investigates the existence, nonexistence, and multiplicity of positive solutions for a nonlinear higher or... Show More
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