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Mathematics, Volume 6, Issue 10

October 2018 - 42 articles

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Cover Story: The figure depicts snapshots of the Dirichlet–Neumann domain decomposition method matching process, in which we illustrate the evolution of the vertical displacement field. We partitioned the domain into two subdomains, as shown. We display the first four iterations in reading order. This parallel answer matches its serial counterpart, which we validated against commercial software, and we obtained excellent accordance. Indeed, for example, the relative error in the vertical displacement against the global solution is less than 0.14%. We can claim that the parallel solution reproduces the serial one. Indeed, in the right-bottom snapshot, the vertical displacement field looks relatively smooth and agrees well with the reference solution. View this paper.

Articles (42)

  • Article
  • Open Access
52 Citations
5,057 Views
20 Pages

Some Reverse Degree-Based Topological Indices and Polynomials of Dendrimers

  • Wei Gao,
  • Muhammad Younas,
  • Adeel Farooq,
  • Abaid Ur Rehman Virk and
  • Waqas Nazeer

22 October 2018

Topological indices collect information from the graph of molecule and help to predict properties of the underlying molecule. Zagreb indices are among the most studied topological indices due to their applications in chemistry. In this paper, we comp...

  • Article
  • Open Access
46 Citations
9,084 Views
16 Pages

Target Fusion Detection of LiDAR and Camera Based on the Improved YOLO Algorithm

  • Jian Han,
  • Yaping Liao,
  • Junyou Zhang,
  • Shufeng Wang and
  • Sixian Li

19 October 2018

Target detection plays a key role in the safe driving of autonomous vehicles. At present, most studies use single sensor to collect obstacle information, but single sensor cannot deal with the complex urban road environment, and the rate of missed de...

  • Article
  • Open Access
7 Citations
4,976 Views
17 Pages

18 October 2018

We develop a Lax–Wendroff scheme on time discretization procedure for finite volume weighted essentially non-oscillatory schemes, which is used to simulate hyperbolic conservation law. We put more focus on the implementation of one-dimensional...

  • Article
  • Open Access
16 Citations
3,842 Views
10 Pages

18 October 2018

It is well known that major error occur in the time integration instead of the spatial approximation. In this work, anisotropic kernels are used for temporal as well as spatial approximation to construct a numerical scheme for solving nonlinear Burge...

  • Article
  • Open Access
46 Citations
3,583 Views
19 Pages

17 October 2018

In this paper, in the setting of Δ -symmetric quasi-metric spaces, the existence and uniqueness of a fixed point of certain operators are scrutinized carefully by using simulation functions. The most interesting side of such operators is t...

  • Article
  • Open Access
17 Citations
3,088 Views
26 Pages

17 October 2018

The linguistic interval-valued intuitionistic fuzzy (LIVIF) set is an efficient tool to represent data in the form of interval membership degrees in a qualitative rather than a quantitative manner. The LIVIF set combines the features of interval-valu...

  • Article
  • Open Access
17 Citations
3,455 Views
14 Pages

17 October 2018

This paper is concerned with representing sums of the finite products of Chebyshev polynomials of the second kind and of Fibonacci polynomials in terms of several classical orthogonal polynomials. Indeed, by explicit computations, each of them is exp...

  • Feature Paper
  • Article
  • Open Access
7 Citations
3,266 Views
13 Pages

16 October 2018

We consider a suitable replacement model for random lifetimes, in which at a fixed time an item is replaced by another one having the same age but different lifetime distribution. We focus first on stochastic comparisons between the involved random l...

  • Article
  • Open Access
13 Citations
3,386 Views
11 Pages

The Double Roman Domination Numbers of Generalized Petersen Graphs P(n, 2)

  • Huiqin Jiang,
  • Pu Wu,
  • Zehui Shao,
  • Yongsheng Rao and
  • Jia-Bao Liu

16 October 2018

A double Roman dominating function (DRDF) f on a given graph G is a mapping from V ( G ) to { 0 , 1 , 2 , 3 } in such a way that a vertex u for which f ( u ) = 0 has at least a neighbor labeled 3 or two neighbors both labeled...

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