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Mathematical and Computational Applications, Volume 27, Issue 1

2022 February - 17 articles

Cover Story: Industry demands simulation-based design processes, but physics simulations act as a bottleneck due to their large computational costs and run time. In most steps of the design process, only an approximate result of what a fully-fledged physics simulation would provide is necessary. In this paper, we present a proof-of-concept study of the application of neural networks for thermal simulations of electronic systems. The goal of such a tool is to provide accurate approximations of a full solution, in order to quickly select promising designs for more detailed investigations. View this paper.
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Articles (17)

  • Article
  • Open Access
12 Citations
5,516 Views
20 Pages

On a Modified Weighted Exponential Distribution with Applications

  • Christophe Chesneau,
  • Vijay Kumar,
  • Mukti Khetan and
  • Mohd Arshad

Practitioners in all applied domains value simple and adaptable lifetime distributions. They make it possible to create statistical models that are relatively easy to manage. A novel simple lifetime distribution with two parameters is proposed in thi...

  • Article
  • Open Access
4 Citations
3,231 Views
19 Pages

The Minimum Lindley Lomax Distribution: Properties and Applications

  • Sadaf Khan,
  • Gholamhossein G. Hamedani,
  • Hesham Mohamed Reyad,
  • Farrukh Jamal,
  • Shakaiba Shafiq and
  • Soha Othman

By fusing the Lindley and Lomax distributions, we present a unique three-parameter continuous model titled the minimum Lindley Lomax distribution. The quantile function, ordinary and incomplete moments, moment generating function, Lorenz and Bonferro...

  • Feature Paper
  • Article
  • Open Access
6 Citations
4,613 Views
20 Pages

We present a new algorithm to design lightweight cellular materials with required properties in a multi-physics context. In particular, we focus on a thermo-elastic setting by promoting the design of unit cells characterized both by an isotropic and...

  • Article
  • Open Access
13 Citations
6,750 Views
44 Pages

A spline-based integral approximation is utilized to define a sequence of approximations to the error function that converge at a significantly faster manner than the default Taylor series. The real case is considered and the approximations can be im...

  • Article
  • Open Access
44 Citations
5,106 Views
20 Pages

The Unit Teissier Distribution and Its Applications

  • Anuresha Krishna,
  • Radhakumari Maya,
  • Christophe Chesneau and
  • Muhammed Rasheed Irshad

A bounded form of the Teissier distribution, namely the unit Teissier distribution, is introduced. It is subjected to a thorough examination of its important properties, including shape analysis of the main functions, analytical expression for moment...

  • Article
  • Open Access
6 Citations
4,292 Views
12 Pages

Impact of Infective Immigrants on COVID-19 Dynamics

  • Stéphane Yanick Tchoumi,
  • Herieth Rwezaura,
  • Mamadou Lamine Diagne,
  • Gilberto González-Parra and
  • Jean Tchuenche

The COVID-19 epidemic is an unprecedented and major social and economic challenge worldwide due to the various restrictions. Inflow of infective immigrants have not been given prominence in several mathematical and epidemiological models. To investig...

  • Article
  • Open Access
9 Citations
3,548 Views
24 Pages

This paper is designed to explore the asymptotic behaviour of a two dimensional visco-elastic plate equation with a logarithmic nonlinearity under the influence of nonlinear frictional damping. Assuming that relaxation function g satisfies g(t...

  • Article
  • Open Access
6 Citations
2,906 Views
13 Pages

The objective of the current numerical study is to explore the combined natural and forced convection and energy transport in a channel with an open cavity. An adiabatic baffle of finite length is attached to the top wall. The sinusoidal heating is i...

  • Article
  • Open Access
11 Citations
3,155 Views
25 Pages

In this paper, a new approach to investigating the unsteady natural convection flow of viscous fluid over a moveable inclined plate with exponential heating is carried out. The mathematical modeling is based on fractional treatment of the governing e...

  • Feature Paper
  • Article
  • Open Access
8 Citations
4,316 Views
15 Pages

Thermal simulations are an important part of the design process in many engineering disciplines. In simulation-based design approaches, a considerable amount of time is spent by repeated simulations. An alternative, fast simulation tool would be a we...

  • Feature Paper
  • Article
  • Open Access
29 Citations
6,074 Views
25 Pages

AutoML for Feature Selection and Model Tuning Applied to Fault Severity Diagnosis in Spur Gearboxes

  • Mariela Cerrada,
  • Leonardo Trujillo,
  • Daniel E. Hernández,
  • Horacio A. Correa Zevallos,
  • Jean Carlo Macancela,
  • Diego Cabrera and
  • René Vinicio Sánchez

Gearboxes are widely used in industrial processes as mechanical power transmission systems. Then, gearbox failures can affect other parts of the system and produce economic loss. The early detection of the possible failure modes and their severity as...

  • Article
  • Open Access
9 Citations
5,489 Views
13 Pages

Analysis and Detection of Erosion in Wind Turbine Blades

  • Josué Enríquez Zárate,
  • María de los Ángeles Gómez López,
  • Javier Alberto Carmona Troyo and
  • Leonardo Trujillo

This paper studies erosion at the tip of wind turbine blades by considering aerodynamic analysis, modal analysis and predictive machine learning modeling. Erosion can be caused by several factors and can affect different parts of the blade, reducing...

  • Article
  • Open Access
2 Citations
2,824 Views
29 Pages

Four discrete models, using the exact spectral derivative discretization finite difference (ESDDFD) method, are proposed for a chaotic five-dimensional, conformable fractional derivative financial system incorporating ethics and market confidence. Si...

  • Feature Paper
  • Review
  • Open Access
86 Citations
40,800 Views
21 Pages

Predictive Maintenance in the Automotive Sector: A Literature Review

  • Fabio Arena,
  • Mario Collotta,
  • Liliana Luca,
  • Marianna Ruggieri and
  • Francesco Gaetano Termine

With the rapid advancement of sensor and network technology, there has been a notable increase in the availability of condition-monitoring data such as vibration, temperature, pressure, voltage, and other electrical and mechanical parameters. With th...

  • Article
  • Open Access
3 Citations
3,351 Views
24 Pages

The development of operator theory is stimulated by the need to solve problems emerging from several fields in mathematics and physics. At the present time, this theory has wide applications in the study of non-linear differential equations, in linea...

  • Article
  • Open Access
10 Citations
5,678 Views
19 Pages

The use of technological learning tools has been increasingly recognized as a useful tool to promote students’ motivation to deal with, and understand, mathematics concepts. Current digital technology allows students to work interactively with...

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Math. Comput. Appl. - ISSN 2297-8747