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Mathematical and Computational Applications, Volume 23, Issue 4

2018 December - 29 articles

Cover Story: Recently, new techniques of electromagnetic modeling for electrical machines with global/local saturation effects have been developed, namely, multi-layer models using the convolution theorem and the exact subdomain technique using the Dubas' superposition that allows for any non-periodic subdomain. The Dubas' superposition technique is very interesting since it enables magnetic field computation in iron parts of slot structures. Comparisons with numerical methods give good results. View this paper.
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Articles (29)

  • Article
  • Open Access
19 Citations
4,795 Views
17 Pages

Spacers are designed to create a feed channel, but they are also obstacles to the flow in spiral wound membrane modules. The geometry of the feed spacer influences the flow pattern, which was investigated by using a three-dimensional Computational Fl...

  • Article
  • Open Access
4 Citations
5,798 Views
21 Pages

U-Shaped Assembly Line Balancing by Using Differential Evolution Algorithm

  • Poontana Sresracoo,
  • Nuchsara Kriengkorakot,
  • Preecha Kriengkorakot and
  • Krit Chantarasamai

The objective of this research is to develop metaheuristic methods by using the differential evolution (DE) algorithm for solving the U-shaped assembly line balancing problem Type 1 (UALBP-1). The proposed DE algorithm is applied for balancing the li...

  • Article
  • Open Access
6 Citations
4,344 Views
9 Pages

Heat transfer enhancement employing an elliptical tube inside a circular tube to increase the heat transfer rate without increasing in pressure drop is investigated. The flow rate inside the narrow is in the range of Reynolds number 10,000 to 100,000...

  • Article
  • Open Access
3,089 Views
7 Pages

In the paper, the dynamic motion of a point ball with a mass of m , sliding in a viscous liquid between two concentric spheres under the influence of gravity and viscous and dry resistance, is investigated. In addition, it is considered that the...

  • Feature Paper
  • Article
  • Open Access
6 Citations
3,036 Views
14 Pages

The objective of this paper is to complete certain issues from our recent contribution (Calatayud, J.; Cortés, J.-C.; Jornet, M.; Villafuerte, L. Random non-autonomous second order linear differential equations: mean square analytic solutions and the...

  • Article
  • Open Access
5 Citations
7,435 Views
23 Pages

Cellular Automata and Artificial Brain Dynamics

  • Alberto Fraile,
  • Emmanouil Panagiotakis,
  • Nicholas Christakis and
  • Luis Acedo

Brain dynamics, neuron activity, information transfer in brains, etc., are a vast field where a large number of questions remain unsolved. Nowadays, computer simulation is playing a key role in the study of such an immense variety of problems. In thi...

  • Tutorial
  • Open Access
2 Citations
3,833 Views
20 Pages

Contradictory demands are present in the dynamic modeling and analysis of legged locomotion: on the one hand, the high degrees-of-freedom (DoF) descriptive models are geometrically accurate, but the analysis of self-stability and motion pattern gener...

  • Article
  • Open Access
3,118 Views
8 Pages

In this work we obtain approximate solutions for Fredholm integral equations of the second kind by means of Petrov–Galerkin method, choosing “regular pairs” of subspaces, { X n , Y n } , which are simply characterize...

  • Feature Paper
  • Article
  • Open Access
5 Citations
5,219 Views
16 Pages

This work presents a novel solution for magnetic field calculation in two-dimensional problems in which one region is defined with space-varying magnetic parameter. The proposed solution extends the well-established Maxwell–Fourier method for c...

  • Feature Paper
  • Article
  • Open Access
1 Citations
3,097 Views
8 Pages

This paper describes the scattering matrix approach to obtain the solution to electromagnetic field quantities in harmonic multi-layer models. Using this approach, the boundary conditions are solved in such way that the maximum size of any matrix use...

  • Feature Paper
  • Article
  • Open Access
22 Citations
5,366 Views
11 Pages

Modeling and Simulation of a Hydraulic Network for Leak Diagnosis

  • José-Roberto Bermúdez,
  • Francisco-Ronay López-Estrada,
  • Gildas Besançon,
  • Guillermo Valencia-Palomo,
  • Lizeth Torres and
  • Héctor-Ricardo Hernández

This work presents the modeling and simulation of a hydraulic network with four nodes and two branches that form a two-level water distribution system. It also proposes a distribution of hydraulic valves that allows emulating a leak using a valve and...

  • Article
  • Open Access
17 Citations
3,747 Views
16 Pages

Bipolar Fuzzy UP-Algebras

  • Korawut Kawila,
  • Chaiphon Udomsetchai and
  • Aiyared Iampan

In this paper, we apply the notion of bipolar-valued fuzzy set to UP-algebras. We introduce the notions of bipolar fuzzy UP-subalgebras (resp., bipolar fuzzy UP-filters, bipolar fuzzy UP-ideals, and bipolar fuzzy strongly UP-ideals) of UP-algebras an...

  • Article
  • Open Access
23 Citations
3,617 Views
17 Pages

A wide variety of human decision-making is based on double-sided or bipolar judgmental thinking on a positive side and a negative side. This paper develops a new method called bipolar fuzzy extended TOPSIS based on entropy weights to address the mult...

  • Feature Paper
  • Article
  • Open Access
8 Citations
5,969 Views
17 Pages

Managing Human Factors to Reduce Organisational Risk in Industry

  • Silvia Carpitella,
  • Fortunato Carpitella,
  • Antonella Certa,
  • Julio Benítez and
  • Joaquín Izquierdo

Human factors are intrinsically involved at virtually any level of most industrial/business activities, and may be responsible for several accidents and incidents, if not correctly identified and managed. Focusing on the significance of human behavio...

  • Article
  • Open Access
3 Citations
2,940 Views
11 Pages

Graphs have powerful representations of all kinds of theoretical or experimental mathematical objects. A technique to measure the distance between graphs has become an important issue. In this article, we show how to define distance functions measuri...

  • Article
  • Open Access
10 Citations
3,045 Views
10 Pages

In this paper, a ternary 4-point rational interpolation subdivision scheme is presented, and the necessary and sufficient conditions of the continuity are analyzed. The generalization incorporates existing schemes as special cases: Hassan–Ivris...

  • Article
  • Open Access
10 Citations
3,805 Views
18 Pages

In this paper, we attempt to determine the optimal duration of an anti-epidemic control strategy which targets susceptible people, under the isoperimetric condition that we could not control all individuals of this category due to restricted health r...

  • Article
  • Open Access
1 Citations
4,331 Views
11 Pages

A complete MAPLE procedure is designed to effectively implement an algorithm for approximating trigonometric functions. The algorithm gives a piecewise polynomial approximation on an arbitrary interval, presenting a special partition that we can get...

  • Article
  • Open Access
39 Citations
3,590 Views
12 Pages

On a Graph Associated to UP-Algebras

  • Moin A. Ansari,
  • Azeem Haidar and
  • Ali N.A. Koam

In this article, we introduce the concept of graphs associated with commutative UP-algebra, which we say is a UP-graph whose vertices are the elements of commutative UP-algebra and whose edges are the association of two vertices, that is two elements...

  • Article
  • Open Access
16 Citations
3,542 Views
12 Pages

This article presents the homotopy perturbation method (HPM) employed to investigate the effects of inclination on the thermal behavior of a porous fin heat sink. The study aims to review the thermal characterization of heat sink with the inclined po...

  • Article
  • Open Access
21 Citations
6,388 Views
25 Pages

Shape optimization is a very time-consuming and expensive task, especially if experimental tests need to be performed. To overcome the challenges of geometry optimization, the industry is increasingly relying on numerical simulations. These kinds of...

  • Feature Paper
  • Article
  • Open Access
13 Citations
4,097 Views
21 Pages

Two-Dimensional Exact Subdomain Technique of Switched Reluctance Machines with Sinusoidal Current Excitation

  • Mohammed Ben Yahia,
  • Kamel Boughrara,
  • Frédéric Dubas,
  • Lazhar Roubache and
  • Rachid Ibtiouen

This paper presents a two-dimensional (2D) exact subdomain technique in polar coordinates considering the iron relative permeability in 6/4 switched reluctance machines (SRM) supplied by sinusoidal waveform of current (aka, variable flux reluctance m...

  • Article
  • Open Access
8 Citations
7,904 Views
12 Pages

With the increase in the use of electronic transactions in everyday life, secure communications and data storage to withstand any kind of attack is warranted. The golden ratio, being the most irrational among irrational numbers, can be used in ellipt...

  • Article
  • Open Access
12 Citations
4,036 Views
17 Pages

Surface-mounted permanent magnet machines are widely used in low and medium speed applications. Pulsating torque components is the most crucial challenge, especially in low-speed applications. Magnet pole shape optimization can be used to mitigate th...

  • Feature Paper
  • Article
  • Open Access
3 Citations
3,489 Views
12 Pages

We consider a Keller–Segel type chemotaxis model with logarithmic sensitivity and logistic growth. The logarithmic singularity in the system is removed via the inverse Hopf–Cole transformation. We then linearize the system around a constant equilibri...

  • Article
  • Open Access
3 Citations
3,869 Views
19 Pages

Differential Evolution Algorithm for Multilevel Assignment Problem: A Case Study in Chicken Transportation

  • Sasitorn Kaewman,
  • Tassin Srivarapongse,
  • Chalermchat Theeraviriya and
  • Ganokgarn Jirasirilerd

This study aims to solve the real-world multistage assignment problem. The proposed problem is composed of two stages of assignment: (1) different types of trucks are assigned to chicken farms to transport young chickens to egg farms, and (2) chicken...

  • Article
  • Open Access
1 Citations
6,053 Views
28 Pages

28 September 2018

We devise a practical and systematic spreadsheet solution paradigm for general optimal control problems. The paradigm is based on an adaptation of a partial-parametrization direct solution method which preserves the original mathematical optimization...

  • Article
  • Open Access
4 Citations
3,630 Views
15 Pages

26 September 2018

The present study aimed at solving the stochastic generalized fractional diffusion equation (SGFDE) by means of the random finite difference method (FDM). Moreover, the conditions of mean square convergence of the numerical solution are studied and n...

  • Article
  • Open Access
10 Citations
3,570 Views
14 Pages

24 September 2018

We consider a discrete-time susceptible-infected-removed-susceptible “again” (SIRS) epidemic model, and we introduce an optimal control function to seek the best control policy for preventing the spread of an infection to the susceptible...

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Math. Comput. Appl. - ISSN 2297-8747