Applied and Computational Mathematics

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Volume 9, Issue 2, April 2020

  • Numerical Solutions of Linear Fractional Order BVP by Galerkin Residual Method with Differentiable Polynomials

    Umme Ruman, Md. Shafiqul Islam

    Issue: Volume 9, Issue 2, April 2020
    Pages: 20-25
    Received: 9 April 2020
    Accepted: 3 May 2020
    Published: 14 May 2020
    DOI: 10.11648/j.acm.20200902.11
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    Abstract: The main objective of this paper is to solve numerically the differential equations of fractional order with homogeneous boundary conditions by the Galerkin weighted residual method. In this method, linear combinations of some types of functions are used to find the approximate solutions which must satisfy the homogeneous boundary conditions. Such ... Show More
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  • Meandering Fractals in Water Resources Management

    Levent Yilmaz

    Issue: Volume 9, Issue 2, April 2020
    Pages: 26-29
    Received: 29 April 2019
    Accepted: 21 May 2019
    Published: 19 May 2020
    DOI: 10.11648/j.acm.20200902.12
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    Abstract: Fractal dimension is a measure for the degree of complexity or that of fractals. An alternative to fractal dimension is ht-index, which quantifies complexity in a unique way. Back to your question, the physical meaning of fractal dimension is that many natural and social phenomena are nonlinear rather than linear, and are fractal rather than Euclid... Show More
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