Applied and Computational Mathematics

Volume 7, Issue 4, August 2018

  • A Fast High Order Algorithm for 3D Helmholtz Equation with Dirichlet Boundary

    Sheng An, Gendai Gu, Meiling Zhao

    Issue: Volume 7, Issue 4, August 2018
    Pages: 180-187
    Received: 26 July 2018
    Accepted: 13 August 2018
    Published: 11 September 2018
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    Abstract: Helmholtz equation is widely applied in the scientific and engineering problem. For the solution of the three-dimensional Helmholtz equation, the computational efficiency of the algorithm is especially important. In this paper, in order to solve the contradiction between accuracy and efficiency, a fast high order finite difference method is propose... Show More
  • Peculiarities of the Rice Statistical Distribution: Mathematical Substantiation

    Tatiana Yakovleva

    Issue: Volume 7, Issue 4, August 2018
    Pages: 188-196
    Received: 16 September 2018
    Published: 18 September 2018
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    Abstract: The Rice statistical distribution has recently become a subject of increasing scientific interest due to its wide applicability in various fields of science and technology, such as the magnetic-resonance visualization and ultrasound diagnostics in medicine, the radio and radar signals’ analysis and processing, the optical measurements, etc. The com... Show More
  • Subjective Well-Being Prediction Using Data Mining Techniques: Evidence from Chinese General Social Survey

    Leibao Zhang, Yanli Fan, Wenyu Zhang, Shuai Zhang

    Issue: Volume 7, Issue 4, August 2018
    Pages: 197-202
    Received: 16 September 2018
    Published: 18 September 2018
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    Abstract: Data mining techniques have attracted increasing attentions recently and played more and more important roles in various domains. However, few studies have used these prevalent techniques to explore the rules of subjective well-being for individuals. In this study, a prevalent data mining method, XGBoost, is applied to predict the subjective well-b... Show More
  • The Cordial Labeling for the Four-Leaved Rose Graph

    Ashraf Elrokh

    Issue: Volume 7, Issue 4, August 2018
    Pages: 203-211
    Received: 22 June 2018
    Accepted: 31 August 2018
    Published: 15 October 2018
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    Abstract: A cactus graph with four blocks which are all cycles, not necessarily be of the same size, is called four-leaved rose graph and denoted by Ln, m, k, s, where n, m, k and s represent she sizes of the four cycles. A cordial graph is a graph whose vertices and edges have 0-1 labeling in such a way that the number of vertices (edges) labelled with zero... Show More
  • Performance Evaluation of Machine Learning Methods for Breast Cancer Prediction

    Yixuan Li, Zixuan Chen

    Issue: Volume 7, Issue 4, August 2018
    Pages: 212-216
    Received: 17 October 2018
    Published: 18 October 2018
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    Abstract: Breast cancer is the most common invasive cancer in women and the second main cause of cancer death in females, which can be classified Benign or Malignant. Research and prevention on breast cancer have attracted more concern of researchers in recent years. On the other hand, the development of data mining methods provides an effective way to extra... Show More