Applied and Computational Mathematics

Volume 11, Issue 3, June 2022

  • Determination of Secondary Wavefront Aberrations in Axis-Symmetrical Optical Systems

    Psang Dain Lin

    Issue: Volume 11, Issue 3, June 2022
    Pages: 60-68
    Received: Apr. 17, 2022
    Accepted: May 05, 2022
    Published: May 12, 2022
    DOI: 10.11648/j.acm.20221103.11
    Abstract: The design and development of optical systems relies on a thorough theoretical understanding of optical aberrations. However, determining the values of the various-order wavefront aberrations in an optical system is extremely challenging. Accordingly, the present study proposes a methodology for determining the numerical values of the secondary wav... Show More
  • A Correlation Study of Mathematics and Science Subjects Achievements in Secondary Schools

    Vicent Paul Nyakyi, Amon Mwenda

    Issue: Volume 11, Issue 3, June 2022
    Pages: 69-73
    Received: Mar. 29, 2022
    Accepted: May 03, 2022
    Published: May 19, 2022
    DOI: 10.11648/j.acm.20221103.12
    Abstract: Mathematics is a subject that is widely applied in solving science problems. There has been an argument that to perform well in sciences, one must also perform well in mathematics. In the light of this assertion, this paper studied the correlation between mathematics and science subjects’ achievements in secondary schools. Two science subjects, phy... Show More
  • Analytical and Numerical Solutions for the (3+1)-dimensional Extended Quantum Zakharov-Kuznetsov Equation

    Cheng Zhang

    Issue: Volume 11, Issue 3, June 2022
    Pages: 74-80
    Received: Apr. 26, 2022
    Accepted: May 18, 2022
    Published: May 31, 2022
    DOI: 10.11648/j.acm.20221103.13
    Abstract: The Zakharov-Kuznetsov equation is an important model to describes the nonlinear pulse propagation in plasma physics, which guides the characteristic of weakly nonlinear ion-acoustic waves in plasma composed of cold ions and hot isothermal electrons in a uniform magnetic field. In the current study, we investigate the generalized trigonometric solu... Show More
  • Q-borderenergeticity Under the Graph Operation of Complements

    Jing Li, Bo Deng, Xumei Jin, Xiaoyun Lv

    Issue: Volume 11, Issue 3, June 2022
    Pages: 81-86
    Received: May 20, 2022
    Accepted: Jun. 02, 2022
    Published: Jun. 14, 2022
    DOI: 10.11648/j.acm.20221103.14
    Abstract: Let A(G) be the adjacency matrix of graph G. Suppose λn ≤ λn-1 ≤ ··· ≤λ1 are the eigenvalues of A(G). The energy of a graph G is denoted by ε(G), which is defined as the sum of absolute values of its eigenvalues. It is well known that graph energy is found that there are many applications in chemistry. Nikiforov showed that almost all graphs have a... Show More