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Mathematical and Computational Applications, Volume 29, Issue 1

February 2024 - 16 articles

Cover Story: We are researching the free vibration of functionally graded material (FGM) plates with complex shapes. We consider a two-parameter elastic foundation (Winkler and Pasternak) and two types of porosity distributions through the thickness: even and uneven. Our approach is based on the variational Ritz method, combined with R-functions theory, and has been tested on numerous problems. The efficiency of the proposed approach is demonstrated for FGM plates with complex shapes and various boundary conditions. We investigate the effects of different parameters on vibration characteristics, such as porosity, volume exponent, elastic foundation, types of FGM, and boundary conditions. View this paper
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Articles (16)

  • Article
  • Open Access
1 Citations
2,346 Views
25 Pages

Three-Dimensional Model for Bioventing: Mathematical Solution, Calibration and Validation

  • Mohammad Khodabakhshi Soureshjani,
  • Hermann J. Eberl and
  • Richard G. Zytner

Bioventing is an established technique extensively employed in the remediation of soil contaminated with petroleum hydrocarbons. In this study, the objective was to develop an improved foundational bioventing model that characterizes gas flow in vado...

  • Article
  • Open Access
1 Citations
1,985 Views
13 Pages

In this paper, it is noted that three apparently disparate areas of mathematics—singularity analysis, complex symmetry analysis and the distributional representation of special functions—have a basic commonality in the underlying methods...

  • Article
  • Open Access
2 Citations
2,218 Views
22 Pages

On the Parallelization of Square-Root Vélu’s Formulas

  • Jorge Chávez-Saab,
  • Odalis Ortega and
  • Amalia Pizarro-Madariaga

A primary challenge in isogeny-based cryptography lies in the substantial computational cost associated to computing and evaluating prime-degree isogenies. This computation traditionally relied on Vélu’s formulas, an approach with time c...

  • Article
  • Open Access
1 Citations
3,263 Views
13 Pages

Calcium (Ca2+) and magnesium (Mg2+) are essential for cellular function. The kidneys play an important role in maintaining the homeostasis of these cations. Their reabsorption along the nephron is dependent on distinct trans- and paracellular pathway...

  • Article
  • Open Access
2 Citations
2,603 Views
23 Pages

This paper proposes the D2Q5 Lattice Boltzmann method (LBM) method, in two dimensions with five discrete lattice velocities, for simulating linear sound wave propagation in closed rooms. A second-order linear acoustic equation obtained from the LBM m...

  • Article
  • Open Access
2 Citations
2,952 Views
17 Pages

In this paper we develop an approach for obtaining the solutions to systems of linear retarded and neutral delay differential equations. Our analytical approach is based on the Laplace transform, inverse Laplace transform and the Cauchy residue theor...

  • Article
  • Open Access
10 Citations
3,280 Views
17 Pages

Free vibrations of porous functionally graded material (FGM) plates with complex shapes are analyzed by using the R-functions method. The thickness of the plate is variable in the direction of one of the axes. Two types of porosity distributions thro...

  • Article
  • Open Access
1 Citations
2,482 Views
17 Pages

Continuous Time Echo State Networks (CTESNs) are a promising yet under-explored surrogate modeling technique for dynamical systems, particularly those governed by stiff Ordinary Differential Equations (ODEs). A key determinant of the generalization a...

  • Article
  • Open Access
6 Citations
4,810 Views
16 Pages

Electromyography (EMG) is a widely used method for estimating muscle activity and could help in understanding how muscles interact with each other and affect human movement control. To detect muscle interactions during elbow flexion and extension, a...

  • Article
  • Open Access
2,213 Views
16 Pages

In this paper, we propose an extended credit migration model with asymmetric fixed boundaries and multiple ratings, for a more precise depiction of credit changes in the real world. A model with three ratings is established and analyzed as an example...

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Math. Comput. Appl. - ISSN 2297-8747Creative Common CC BY license