Applied and Computational Mathematics

Volume 13, Issue 4, August 2024

  • Research Article

    Exploring Hidden Markov Models in the Context of Genetic Disorders, and Related Conditions: A Systematic Review

    Mouhamadou Djima Baranon*, Patrick Guge Oloo Weke, Judicael Alladatin, Boni Maxime Ale, Amos Kipkorir Langat

    Issue: Volume 13, Issue 4, August 2024
    Pages: 69-82
    Received: 20 April 2024
    Accepted: 6 May 2024
    Published: 5 July 2024
    DOI: 10.11648/j.acm.20241304.11
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    Abstract: The application of Hidden Markov Models (HMMs) in the study of genetic and neurological disorders has shown significant potential in advancing our understanding and treatment of these conditions. This review assesses 77 papers selected from a pool of 1,105 records to evaluate the use of HMMs in disease research. After the exclusion of duplicate and... Show More
  • Research Article

    Novel Integer Division for Embedded Systems: Generic Algorithm Optimal for Large Divisors

    Mervat Mohamed Adel Mahmoud*, Nahla Elazab Elashker

    Issue: Volume 13, Issue 4, August 2024
    Pages: 83-93
    Received: 9 June 2024
    Accepted: 1 July 2024
    Published: 24 July 2024
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    Abstract: The integer Constant Division (ICD) is the type of integer division in which the divisor is known in advance, enabling pre-computing operations to be included. Therefore, it can be more efficient regarding computing resources and time. However, most ICD techniques are restricted by a few values or narrow boundaries for the divisor. On the other han... Show More
  • Research Article

    The Existence and Uniqueness Results of Solutions for a Fractional Hybrid Integro-differential System

    Ala Eddine Taier*, Ranchao Wu, Naveed Iqbal, Sijjad Ali

    Issue: Volume 13, Issue 4, August 2024
    Pages: 94-104
    Received: 3 March 2024
    Accepted: 22 April 2024
    Published: 7 August 2024
    DOI: 10.11648/j.acm.20241304.13
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    Abstract: This paper discuss two important results for a fractional hybrid boundary value problem of Riemann-Liouville integro-differential systems, the researches and the advance in this field and also the importance of this subject in the modeling of nonlinear real phenomena corresponding to a great variety of events gives the motivation to study this boun... Show More
  • Research Article

    Some New Results on S-prime Ideals of a Finite Commutative Ring as S-meet Semilattice

    Kalamani Duraisamy*, Mythily Varadharajan

    Issue: Volume 13, Issue 4, August 2024
    Pages: 105-110
    Received: 25 June 2024
    Accepted: 18 July 2024
    Published: 8 August 2024
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    Abstract: Let ℜ be the finite commutative ring with unity and Is be the S-prime ideal of a ring ℜ. The set Ls forms a partially ordered set (poset) by the subset relation. Initially, the interplay of the semilattice theoretic properties of a poset with the ring theoretic properties are studied with suitable examples. The number of maximal chain of a poset is... Show More
  • Research Article

    An Effective Matrix Technique for the Numerical Solution of Second Order Differential Equations

    Nathaniel Mahwash Kamoh*, Bwebum Cleofas Dang, Comfort Soomiyol Mrumun

    Issue: Volume 13, Issue 4, August 2024
    Pages: 111-117
    Received: 9 July 2024
    Accepted: 29 July 2024
    Published: 15 August 2024
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    Abstract: In this paper, an effective technique for solving differential equations with initial conditions is presented. The method is based on the use of the Legendre matrix of derivatives defined on the close interval [-1,1]. Properties of the polynomial are outlined and further used to obtain the matrix of derivative which was used in transforming the dif... Show More