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Applied and Computational Mathematics

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Volume 10, Issue 1, February 2021

  • Multi-criteria Credibilistic Portfolio Selection Model with Various Risk Comparisons Using Trapezoidal Fuzzy Variable

    Jagdish Kumar Pahade, Manoj Jha

    Issue: Volume 10, Issue 1, February 2021
    Pages: 1-9
    Received: 12 January 2021
    Accepted: 19 January 2021
    Published: 10 February 2021
    DOI: 10.11648/j.acm.20211001.11
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    Abstract: Dealing with problems on portfolio selection models fuzzy set theory is effectively interpolating investor’s attitude. The credibility theory (Branch of fuzzy set theory) is broadly utilized to describe uncertainty of the financial markets. We regard the return rate of each risky stock as a trapezoidal fuzzy number. Variance and semi-variance of fu... Show More
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  • Numerical Solution of the Navier-Stokes Equations for Incompressible Fluid Flow by Crank-Nicolson Implicit Scheme

    Siele Charles, Rotich John, Adicka Daniel

    Issue: Volume 10, Issue 1, February 2021
    Pages: 10-18
    Received: 18 January 2021
    Accepted: 26 January 2021
    Published: 12 March 2021
    DOI: 10.11648/j.acm.20211001.12
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    Abstract: The Navier-Stokes (N-S) equations for incompressible fluid flow comprise of a system of four nonlinear equations with five flow fields such as pressure P, density ρ and three velocity components u, v, and w. The system of equations is generally complex due to the fact that it is nonlinear and a mixture of the three classes of partial differential e... Show More
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  • About Exact Solution of Some Non Linear Partial Integro-differential Equations

    Francis Bassono, Rasmané Yaro, Joseph Bonazebi Yindoula, Gires Dimitri Nkaya, Gabriel Bissanga

    Issue: Volume 10, Issue 1, February 2021
    Pages: 19-29
    Received: 15 January 2021
    Accepted: 24 February 2021
    Published: 30 March 2021
    DOI: 10.11648/j.acm.20211001.13
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    Abstract: Data on solving of nonlinear integro-differential equations using Laplace-SBA method are scarce. The objective of this paper is to determine exact solution of nonlinear 2 dimensionnal Voltera-Fredholm differential equation by this method. First, SBA method and Laplace SBA method are described. Second, three nonlinear Voolterra-Fredholm integro-diff... Show More
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