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Mathematical and Computational Applications, Volume 27, Issue 1

February 2022 - 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
11 Citations
5,280 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
3,081 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
4,506 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
11 Citations
6,278 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
40 Citations
4,735 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
5 Citations
4,199 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
3,483 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
5 Citations
2,771 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
3,088 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...

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Math. Comput. Appl. - ISSN 2297-8747