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Mathematical and Computational Applications, Volume 24, Issue 1

March 2019 - 33 articles

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Cover Story: In this study, an iterative scheme of six orders of convergence for solving systems of nonlinear equations is presented. The scheme is composed of three steps, of which the first two are the same as in the third-order Potra–Pták method, and the last is a weighted-Newton step. Furthermore, we generalize our work to derive a family of multi-step iterative methods, whose order increases three units per step. As higher order methods are not used in practice, we study sixth- and ninth-order methods in detail. Numerical examples are included to confirm the theoretical results and to compare these methods with other existing ones. View this paper.

Articles (33)

  • Feature Paper
  • Article
  • Open Access
5 Citations
3,553 Views
19 Pages

The statement of the eigenvalue problem for a tensor–block matrix (TBM) of any order and of any even rank is formulated, and also some of its special cases are considered. In particular, using the canonical presentation of the TBM of the tensor...

  • Article
  • Open Access
1 Citations
2,603 Views
21 Pages

An investigation of how the velocity of elasto-viscous fluid past an infinite plate, with slip and variable temperature, is influenced by combined thermal-radiative diffusion effects has been carried out. The study of dynamics of a flow model leads t...

  • Article
  • Open Access
11 Citations
4,714 Views
28 Pages

Malaria is a deadly infectious disease, which is transmitted to humans via the bites of infected female mosquitoes. Antimalarial drug resistance has been identified as one of the characteristics of malaria that complicates control efforts. Typically,...

  • Feature Paper
  • Article
  • Open Access
8 Citations
4,110 Views
14 Pages

Toward Optimality of Proper Generalised Decomposition Bases

  • Shadi Alameddin,
  • Amélie Fau,
  • David Néron,
  • Pierre Ladevèze and
  • Udo Nackenhorst

The solution of structural problems with nonlinear material behaviour in a model order reduction framework is investigated in this paper. In such a framework, greedy algorithms or adaptive strategies are interesting as they adjust the reduced order b...

  • Feature Paper
  • Article
  • Open Access
8 Citations
6,467 Views
13 Pages

A Mathematical Model for Intimate Partner Violence

  • Sandra Delgadillo-Aleman,
  • Roberto Ku-Carrillo,
  • Brenda Perez-Amezcua and
  • Benito Chen-Charpentier

In the context of mathematical models applied to social sciences, we present and analyze a model based on differential equations for the intimate partner violence (IPV). Such a model describes the dynamics of a heterosexual romantic couple in which t...

  • Article
  • Open Access
4 Citations
3,323 Views
13 Pages

Spectral Element Method Modeling of Eddy Current Losses in High-Frequency Transformers

  • Koen Bastiaens,
  • Mitrofan Curti,
  • Dave C. J. Krop,
  • Sultan Jumayev and
  • Elena A. Lomonova

This paper concerns the modeling of eddy current losses in conductive materials in the vicinity of a high-frequency transformer; more specifically, in two-dimensional problems where a high ratio between the object dimensions and the skin-depth exists...

  • Article
  • Open Access
4 Citations
4,213 Views
29 Pages

As required by regulations, Finite Element Analyses (FEA) can be used to investigate the behavior of joints which might be complex to design due to the presence of geometrical and material discontinuities. The static behavior of such problems is mesh...

  • Article
  • Open Access
7 Citations
3,850 Views
14 Pages

This article presents an algorithm for solving the unsteady problem of one-dimensional coupled thermoelastic diffusion perturbations propagation in a multicomponent isotropic half-space, as a result of surface and bulk external effects. One-dimension...

  • Feature Paper
  • Article
  • Open Access
8 Citations
3,073 Views
9 Pages

We studied the properties of generalized solutions in unbounded domains and the asymptotic behavior of solutions of elliptic boundary value problems at infinity. Moreover, we studied the unique solvability of the mixed Dirichlet–Steklov-type an...

  • Article
  • Open Access
8 Citations
4,929 Views
25 Pages

This paper presents a two-dimensional analytical model of outer rotor permanent magnet machines equipped with surface inset permanent magnets. To obtain the analytical model, the whole model is divided into the sub-domains, according to the magnetic...

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