Applied and Computational Mathematics

Volume 11, Issue 4, August 2022

  • Hosaya Polynomial and Weiner Index of Abid-Waheed Graph

    Abid Mahboob, Muhammad Waheed Rasheed

    Issue: Volume 11, Issue 4, August 2022
    Pages: 89-94
    Received: Aug. 17, 2022
    Accepted: Sep. 14, 2022
    Published: Sep. 27, 2022
    DOI: 10.11648/j.ijebo.20221003.13
    Downloads:
    Views:
    Abstract: Graph theory is an area of mathematics and computer science that deals with graphs, or diagrams containing points and lines that represent mathematical truths pictorially. It has a broad scope of applications. The use of graph theory has exponentially increased. It is effective to understand the flow of computation, networks of communication, data ... Show More
  • Combination of Reduced Differential Transformation Method and Picard’s Principle

    Yanick Alain Servais Wellot, Gires Dimitri Nkaya

    Issue: Volume 11, Issue 4, August 2022
    Pages: 87-94
    Received: Jun. 30, 2022
    Accepted: Jul. 15, 2022
    Published: Jul. 22, 2022
    DOI: 10.11648/j.acm.20221104.11
    Downloads:
    Views:
    Abstract: In this paper, the combination of methods is used for the search for exact solutions, when they exist of mixed and non-mixed nonlinear partial differential equations. it is the combinate of reduced differential transform method and Picard principle. This combination gave us an algorithm that promotes the rapid convergence of the problem given the e... Show More
  • The Modified Variational Iteration Method with Hermite Polynomials for the Numerical Solution of Tenth Order Boundary Value Problem

    Otaide Ikechukwu Jackson, Ishaq Ajimoti Adam, John Obatarhe Emunefe, Ayinde Muhammed Abdullahi

    Issue: Volume 11, Issue 4, August 2022
    Pages: 95-101
    Received: Jul. 01, 2022
    Accepted: Jul. 20, 2022
    Published: Aug. 17, 2022
    DOI: 10.11648/j.acm.20221104.12
    Downloads:
    Views:
    Abstract: In this study, the numerical solution of tenth-order boundary value problems was obtained by employing the modified variational iteration method with Hermite polynomials. The correction functional is corrected for the boundary value problem (BVP) in this proposed method, and the Lagrange multiplier is optimally constructed using variational theory ... Show More
  • Adaptive Type-II Hybrid Progressive Schemes Based on Maximum Product of Spacings for Parameter Estimation of Kumaraswamy Distribution

    Amal Helu

    Issue: Volume 11, Issue 4, August 2022
    Pages: 102-115
    Received: Jun. 07, 2022
    Accepted: Jul. 18, 2022
    Published: Aug. 17, 2022
    DOI: 10.11648/j.acm.20221104.13
    Downloads:
    Views:
    Abstract: The present article aims to illustrate how the Adaptive Type-II Progressive Hybrid censoring scheme can be used to make statistical inferences regarding the shape parameters of the Kumaraswamy distribution. By adopting this scheme, one can reduce the total testing time and the cost associated with the failure of the units. Best of all, one can incr... Show More