Applied and Computational Mathematics

Volume 5, Issue 4, August 2016

  • Modeling the Effect of Human Mobility on Dengue Transmission

    Bentara Wadu Mesthrige Nadi Madushani De Silva, Shyam Sanjeewa Nishantha Perera, Naleen Chaminda Ganegoda

    Issue: Volume 5, Issue 4, August 2016
    Pages: 169-176
    Received: 14 June 2016
    Accepted: 18 July 2016
    Published: 3 August 2016
    Abstract: Dengue is one of the most prevalent viruses transmitted by mosquitoes where increasing incidence and severity claim severe social burden. This virus is common throughout the tropics and subtropics. Dengue is a virus which propagated during the day and thus the mobility of humans can cause it to spread quickly. In this paper, we introduce mobility o... Show More
  • Memory Effects Due to Fractional Time Derivative and Integral Space in Diffusion Like Equation Via Haar Wavelets

    I. K. Youssef, A. R. A. Ali

    Issue: Volume 5, Issue 4, August 2016
    Pages: 177-185
    Received: 6 August 2016
    Accepted: 15 August 2016
    Published: 2 September 2016
    Abstract: Memory and hereditary effects due to fractional time derivative are combined with the global behaviours due to space integral term. Haar wavelet operational matrix is adjusted to solve diffusion like equations with time fractional derivative, space derivatives and integral terms. The fractional derivative is understood in the Caputo sense. The memo... Show More