American Journal of Applied Mathematics

Archive

Volume 11, Issue 3, June 2023

  • On a Mixed Problem for a Parabolic Type Equation with General form Constant Coefficients Under Inhomogeneous Boundary Conditions

    Hikmat I. Ahmadov

    Issue: Volume 11, Issue 3, June 2023
    Pages: 32-39
    Received: 11 December 2022
    Accepted: 11 January 2023
    Published: 9 June 2023
    DOI: 10.11648/j.ajam.20231103.11
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    Abstract: In this work, we study a one-dimensional mixed problem for an inhomogeneous parabolic equation with constant coefficients of general form, under non-local and non-self-conjugate boundary conditions. The considered mixed problem consist of two parts. The first problem is a mixed problem with a regular boundary condition, and the uniqueness of the so... Show More
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  • Mathematical Modelling for Improved Blood Flow in a Sickle Cell Anaemia Patient with Morphological Effect

    Omamoke Ekakitie, Funakpo Isaac, Olugbenro Osinowo, Sylvester Chibueze Izah, Keneke Edwin Dauseye, Bunonyo Wilcox Kubugha

    Issue: Volume 11, Issue 3, June 2023
    Pages: 40-51
    Received: 14 March 2023
    Accepted: 6 April 2023
    Published: 20 June 2023
    DOI: 10.11648/j.ajam.20231103.12
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    Abstract: Sickle cell is a disease that affects the growth and life expectancy of a given population infected with this disease. Hence, we carried out a theoretical study on the improvement of blood flow and the morphology effect on red blood cells in sickle cell patient using a mathematical model. This morphological effect on the red blood cell comes as a r... Show More
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  • Numerical Simulation of the Heat Equation Using RBF Collocation Method

    Antoine Filankembo Ouassissou, Den Matouadi, Cordy Jourvel Itoua-Tsele

    Issue: Volume 11, Issue 3, June 2023
    Pages: 52-57
    Received: 5 May 2023
    Accepted: 5 June 2023
    Published: 20 June 2023
    DOI: 10.11648/j.ajam.20231103.13
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    Abstract: For a very long time, finite volume, finite element, or finite difference methods have been used to solve partial differential equations (PDEs) numerically. These techniques have been used by researchers for centuries to solve a wide range of mathematical, physical, or chemical problems. The complexity of these numerical approaches, for the resolut... Show More
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