Applied and Computational Mathematics

Volume 5, Issue 1, February 2016

  • New Algorithm for N-jobs on M-machine Flow Shop Scheduling Problems

    Geleta Tadele Mohammed

    Issue: Volume 5, Issue 1, February 2016
    Pages: 1-9
    Received: 13 November 2015
    Accepted: 24 November 2015
    Published: 15 January 2016
    Downloads:
    Views:
    Abstract: Because of flow shop scheduling is one of the most important problems in the area of production management, In this paper, what I have did is that, I have developed a new algorithm for n-jobs m-machine flow shop scheduling problem for special case of n-jobs m-machine flow shop scheduling problem. And also, there is a good self explanatory example t... Show More
  • Investigation of Effect of Rock Storage System Parameters on Thermal Cooling Performance

    Alex Xavery Matofali, Estomih S. Massawe

    Issue: Volume 5, Issue 1, February 2016
    Pages: 10-17
    Received: 24 December 2015
    Accepted: 4 January 2016
    Published: 15 January 2016
    Downloads:
    Views:
    Abstract: We investigate the effects of key parameters of the rock bed system on thermal cooling performance of the system after a fixed time of operation. The method of solving the mathematical model uses a semi-discretization finite difference approximation for discretizing space in solid problem domain. A finite element approximation is used in the fluid ... Show More
  • Quenching for a Diffusion System with Coupled Boundary Fluxes

    Haijie Pei, Wenbo Zhao

    Issue: Volume 5, Issue 1, February 2016
    Pages: 18-22
    Received: 6 January 2016
    Accepted: 20 January 2016
    Published: 18 February 2016
    Downloads:
    Views:
    Abstract: In this paper, we investigate a diffusion system of two parabolic equations with more general singular coupled boundary fluxes. Within proper conditions, we prove that the finite quenching phenomenon happens to the system. And we also obtain that the quenching is non-simultaneous and the corresponding quenching rate of solutions. This extends the o... Show More
  • Shear Stress for Homann and Convergent Flows Arising in the Boundary Layer Theory with Odd Decimal Numbers of Tangential Velocity

    Mamun Miah, Abul Kalam Azad, Masidur Rahman

    Issue: Volume 5, Issue 1, February 2016
    Pages: 23-29
    Received: 11 January 2016
    Accepted: 18 January 2016
    Published: 17 February 2016
    Downloads:
    Views:
    Abstract: In this paper, we discussed the effect of shear stress for Homann and Convergent flows arising in the boundary layer theory with odd decimal numbers of tangential velocity. By this study we have to discuss positive solution, Homann flow, convergent flow, shear stress, tangential velocity etc. From beginning to end of the study, we have compared of ... Show More
  • The Effect of Chemoprophylaxis for Exposed Individuals on Lymphatic Filariasis Model

    Aziza Juma Iddi, Estomih Massawe, Gamba Nkwengulila, Moatlhodi Kgosimore

    Issue: Volume 5, Issue 1, February 2016
    Pages: 30-39
    Received: 29 December 2015
    Accepted: 14 January 2016
    Published: 19 February 2016
    Downloads:
    Views:
    Abstract: In this paper, a deterministic Lymphatic Filariasis (LF) model is formulated and analyzed with the aim of assessing the effect of chemoprophylaxis for the exposed individuals and treatment of symptomatic LF infections. Qualitative and quantitative analysis are implemented to determine the basic reproduction number Re necessary for the control of th... Show More