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Mathematical and Computational Applications, Volume 26, Issue 4

December 2021 - 17 articles

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Cover Story: In long-time simulations of hyperbolic conservation laws, it seems to be very different and extremely challenging to achieve considerably high resolutions and meanwhile avoid spurious oscillations by most existing WENO schemes. During the last decade, this issue has attracted considerable scholarly interest but the way of completely addressing it has remained unclear up to now. We develop the novel concept of order-preserving (OP) mapping, and the resultant WENO schemes can successfully fix the aforementioned problem. These schemes also have many other merits even in short-time simulations, such as improving the resolutions in the high-frequency smooth wave regions, significantly reducing the post-shock numerical oscillations of two-dimensional problems with shock waves, as well as greatly limiting the numerical oscillations in the framework of component-wise reconstruction. View this paper.

Articles (17)

  • Article
  • Open Access
5 Citations
4,267 Views
17 Pages

New Modified Burr III Distribution, Properties and Applications

  • Farrukh Jamal,
  • Ali H. Abuzaid,
  • Muhammad H. Tahir,
  • Muhammad Arslan Nasir,
  • Sadaf Khan and
  • Wali Khan Mashwani

In this article, Burr III distribution is proposed with a significantly improved functional form. This new modification has enhanced the flexibility of the classical distribution with the ability to model all shapes of hazard rate function including...

  • Article
  • Open Access
8 Citations
2,990 Views
15 Pages

The Sine Modified Lindley Distribution

  • Lishamol Tomy,
  • Veena G and
  • Christophe Chesneau

The paper contributes majorly in the development of a flexible trigonometric extension of the well-known modified Lindley distribution. More precisely, we use features from the sine generalized family of distributions to create an original one-parame...

  • Article
  • Open Access
7 Citations
2,905 Views
13 Pages

The Local Antimagic Chromatic Numbers of Some Join Graphs

  • Xue Yang,
  • Hong Bian,
  • Haizheng Yu and
  • Dandan Liu

Let G=(V(G),E(G)) be a connected graph with n vertices and m edges. A bijection f:E(G)→{1,2,⋯,m} is an edge labeling of G. For any vertex x of G, we define ω(x)=∑e∈E(x)f(e) as the vertex label or weight of x, where E(x) is t...

  • Article
  • Open Access
6 Citations
3,603 Views
16 Pages

Modeling the Spread of COVID-19 in Enclosed Spaces

  • Matthew David Gaddis and
  • Valipuram S. Manoranjan

SEIR models are typically conjured for populations in open environments; however, there seems to be a lack of these types of models that deal with infection rates amongst enclosed spaces. We have also seen certain age groups struggle to deal with COV...

  • Article
  • Open Access
3 Citations
2,761 Views
15 Pages

In this work, fractional-order strain theory was applied to construct a novel model that introduces a thermal analysis of a thermoelastic, isotropic, and homogeneous nanobeam. Under supported conditions of fixed aspect ratios, a two-temperature gener...

  • Article
  • Open Access
11 Citations
3,301 Views
22 Pages

Discrete Pseudo Lindley Distribution: Properties, Estimation and Application on INAR(1) Process

  • Muhammed Rasheed Irshad,
  • Christophe Chesneau,
  • Veena D’cruz and
  • Radhakumari Maya

In this paper, we introduce a discrete version of the Pseudo Lindley (PsL) distribution, namely, the discrete Pseudo Lindley (DPsL) distribution, and systematically study its mathematical properties. Explicit forms gathered for the properties such as...

  • Feature Paper
  • Article
  • Open Access
2,612 Views
10 Pages

Optimal Control of an HIV Model with Gene Therapy and Latency Reversing Agents

  • Zachary Abernathy,
  • Kristen Abernathy,
  • Andrew Grant and
  • Paul Hazelton

In this paper, we study the dynamics of HIV under gene therapy and latency reversing agents. While previous works modeled either the use of gene therapy or latency reversing agents, we consider the effects of a combination treatment strategy. For con...

  • Article
  • Open Access
2 Citations
2,464 Views
11 Pages

Spatial Analyticity of Solutions to Korteweg–de Vries Type Equations

  • Keltoum Bouhali,
  • Abdelkader Moumen,
  • Khadiga W. Tajer,
  • Khdija O. Taha and
  • Yousif Altayeb

The Korteweg–de Vries equation (KdV) is a mathematical model of waves on shallow water surfaces. It is given as third-order nonlinear partial differential equation and plays a very important role in the theory of nonlinear waves. It was obtained by B...

  • Review
  • Open Access
8 Citations
16,586 Views
31 Pages

Statistical Techniques for Environmental Sciences: A Review

  • Lishamol Tomy,
  • Christophe Chesneau and
  • Amritha K. Madhav

This paper reviews the interdisciplinary collaboration between Environmental Sciences and Statistics. The usage of statistical methods as a problem-solving tool for handling environmental problems is the key element of this approach. This paper enhan...

  • Feature Paper
  • Article
  • Open Access
14 Citations
6,106 Views
29 Pages

Nonlocal models are ubiquitous in all branches of science and engineering, with a rapidly expanding range of mathematical and computational applications due to the ability of such models to capture effects and phenomena that traditional models cannot...

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