Applied and Computational Mathematics

Volume 12, Issue 3, June 2023

  • A Perturbative Approach for the Solution of Sturm-Liouville Problems

    Nadaniela Egidi, Josephin Giacomini, Pierluigi Maponi

    Issue: Volume 12, Issue 3, June 2023
    Pages: 46-54
    Received: Mar. 24, 2023
    Accepted: Apr. 27, 2023
    Published: Jun. 13, 2023
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    Abstract: Spectral analysis extends the theory of eigenvectors and eigenvalues of a square matrix to a broader theory involving operators. In particular, a branch of spectral analysis is devoted to Sturm-Liouville (SL) problems, which are eigenvalue problems for differential operators. In this study, we propose a numerical method to solve SL problems. This m... Show More
  • Some Triple Generations of the Lyons Sporadic Simple Group Ly

    Malebogo Motalane, Zwelethemba Mpono

    Issue: Volume 12, Issue 3, June 2023
    Pages: 55-81
    Received: Jan. 31, 2023
    Accepted: May 16, 2023
    Published: Jul. 20, 2023
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    Abstract: According to the classification theorem, the Lyons group Ly is one of the 26 sporadic simple groups and has order 51765179004000000 = 28•37•56•7•11•31•37•67. Since the completion of the classification of all finite simple groups, attention has now turned to other aspects e.g. generations of finite groups which entails determining elements which gen... Show More