Abstract: In this paper, we have investigated the nonlinear
time-fractional hyperbolic partial differential equation (PDE) for
its symmetries and invariance properties. With the application of
this method, we have tried to reduce it to time-fractional ordinary
differential equation (ODE) which has been further studied for exact
solutions.
Abstract: Laser Forming process as a non-contact thermal forming process is widely used to forming and bending of metallic and non-metallic sheets. In this process, according to laser irradiation along a specific path, sheet is bent. One of the most important output parameters in laser forming is bending angle that depends on process parameters such as physical and mechanical properties of materials, laser power, laser travel speed and the number of scan passes. In this paper, Artificial Neural Network and Fuzzy Logic System were used to predict of bending angle in laser forming process. Inputs to these models were laser travel speed and laser power. The comparison between artificial neural network and fuzzy logic models with experimental results has been shown both of these models have high ability to prediction of bending angles with minimum errors.
Abstract: The problem of Order Acceptance and Scheduling (OAS) is defined as a joint decision of which orders to accept for processing and how to schedule them. Any linear programming model representing real-world situation involves the parameters defined by the decision maker in an uncertain way or by means of language statement. Fuzzy data can be used to incorporate vagueness in the real-life situation. In this study, a fuzzy mathematical model is proposed for a single machine OAS problem, where the orders are defined by their fuzzy due dates, fuzzy processing times, and fuzzy sequence dependent setup times. The signed distance method, one of the fuzzy ranking methods, is used to handle the fuzzy constraints in the model.
Abstract: The focus of the paper is to furnish the entropy measure
for a neutrosophic set and neutrosophic soft set which is a measure
of uncertainty and it permeates discourse and system. Various characterization
of entropy measures are derived. Further we exemplify
this concept by applying entropy in various real time decision making
problems.
Abstract: The purpose of this paper is to show a relation between CR structure and F-structure satisfying polynomial equation. In this paper, we have checked the significance of CR structure and F-structure on Integrability conditions and Nijenhuis tensor. It was proved that all the properties of Integrability conditions and Nijenhuis tensor are satisfied by CR structures and F-structure satisfying polynomial equation.
Abstract: This paper presents performance of two robust gradient-based heuristic optimization procedures based on 3n enumeration and tunneling approach to seek global optimum of constrained integer problems. Both these procedures consist of two distinct phases for locating the global optimum of integer problems with a linear or non-linear objective function subject to linear or non-linear constraints. In both procedures, in the first phase, a local minimum of the function is found using the gradient approach coupled with hemstitching moves when a constraint is violated in order to return the search to the feasible region. In the second phase, in one optimization procedure, the second sub-procedure examines 3n integer combinations on the boundary and within hypercube volume encompassing the result neighboring the result from the first phase and in the second optimization procedure a tunneling function is constructed at the local minimum of the first phase so as to find another point on the other side of the barrier where the function value is approximately the same. In the next cycle, the search for the global optimum commences in both optimization procedures again using this new-found point as the starting vector. The search continues and repeated for various step sizes along the function gradient as well as that along the vector normal to the violated constraints until no improvement in optimum value is found. The results from both these proposed optimization methods are presented and compared with one provided by popular MS Excel solver that is provided within MS Office suite and other published results.
Abstract: Mixed convection of Cu-water nanofluid in an enclosure
with thick wavy bottom wall has been investigated numerically.
A co-ordinate transformation method is used to transform the
computational domain into an orthogonal co-ordinate system. The
governing equations in the computational domain are solved through
a pressure correction based iterative algorithm. The fluid flow
and heat transfer characteristics are analyzed for a wide range
of Richardson number (0.1 ≤ Ri ≤ 5), nanoparticle volume
concentration (0.0 ≤ ϕ ≤ 0.2), amplitude (0.0 ≤ α ≤ 0.1) of
the wavy thick- bottom wall and the wave number (ω) at a fixed
Reynolds number. Obtained results showed that heat transfer rate
increases remarkably by adding the nanoparticles. Heat transfer rate
is dependent on the wavy wall amplitude and wave number and
decreases with increasing Richardson number for fixed amplitude
and wave number. The Bejan number and the entropy generation are
determined to analyze the thermodynamic optimization of the mixed
convection.
Abstract: In this paper, we obtain sufficient conditions for the
existence of at least four positive almost periodic solutions to an
impulsive delayed periodic plankton allelopathy system with multiple
exploited (or harvesting) terms. This result is obtained through the
use of Mawhins continuation theorem of coincidence degree theory
along with some properties relating to inequalities.
Abstract: Alkaline niobate (Na0.5K0.5)NbO3 ceramic system has attracted major attention in view of its potential for replacing the highly toxic but superior lead zirconate titanate (PZT) system for piezoelectric applications. Recently, a more detailed study of this system reveals that the ferroelectric and piezoelectric properties are optimized in the Li- and V-modified system having the composition (K0.485Na0.5Li0.015)(Nb0.98V0.02)O3. In the present work, we further study the pyroelectric behaviour of this composition along with another doped with Mn4+. So, (K0.485Na0.5Li0.015)(Nb0.98V0.02)O3 + x MnO2 (x = 0, and 0.01 wt. %) ceramic compositions were synthesized by conventional ceramic processing route. X-ray diffraction study reveals that both the undoped and Mn4+-doped ceramic samples prepared crystallize into a perovskite structure having orthorhombic symmetry. Dielectric study indicates that Mn4+ doping has little effect on both the Curie temperature (Tc) and tetragonal-orthorhombic phase transition temperature (Tot). The bulk density, room-temperature dielectric constant (εRT), and room-c The room-temperature coercive field (Ec) is observed to be lower in Mn4+ doped sample. The detailed analysis of the P-E hysteresis loops over the range of temperature from about room temperature to Tot points out that enhanced ferroelectric properties exist in this temperature range with better thermal stability for the Mn4+ doped ceramic. The study reveals that small traces of Mn4+ can modify (K0.485Na0.5Li0.015)(Nb0.98V0.02)O3 system so as to improve its ferroelectric properties with good thermal stability over a wide range of temperature.
Abstract: Pricing financial contracts on several underlying assets
received more and more interest as a demand for complex derivatives.
The option pricing under asset price involving jump diffusion
processes leads to the partial integral differential equation (PIDEs),
which is an extension of the Black-Scholes PDE with a new integral
term. The aim of this paper is to show how basket option prices
in the jump diffusion models, mainly on the Merton model, can
be computed using RBF based approximation methods. For a test
problem, the RBF-PU method is applied for numerical solution
of partial integral differential equation arising from the two-asset
European vanilla put options. The numerical result shows the
accuracy and efficiency of the presented method.
Abstract: A numerical technique in a boundary-fitted curvilinear grid model is developed to simulate the extent of inland inundation along the coastal belts of Peninsular Malaysia and Southern Thailand due to 2004 Indian ocean tsunami. Tsunami propagation and run-up are also studied in this paper. The vertically integrated shallow water equations are solved by using the method of lines (MOL). For this purpose the boundary-fitted grids are generated along the coastal and island boundaries and the other open boundaries of the model domain. A transformation is used to the governing equations so that the transformed physical domain is converted into a rectangular one. The MOL technique is applied to the transformed shallow water equations and the boundary conditions so that the equations are converted into ordinary differential equations initial value problem. Finally the 4th order Runge-Kutta method is used to solve these ordinary differential equations. The moving boundary technique is applied instead of fixed sea side wall or fixed coastal boundary to ensure the movement of the coastal boundary. The extent of intrusion of water and associated tsunami propagation are simulated for the 2004 Indian Ocean tsunami along the west coast of Peninsular Malaysia and southern Thailand. The simulated results are compared with the results obtained from a finite difference model and the data available in the USGS website. All simulations show better approximation than earlier research and also show excellent agreement with the observed data.
Abstract: This paper studies a special class of linear codes, called skew cyclic codes, over the ring R= Fq+uFq+…+uk-1Fq, where q is a prime power. A Gray map ɸ from R to Fq and a Gray map ɸ' from Rn to Fnq are defined, as well as an automorphism Θ over R. It is proved that the images of skew cyclic codes over R under map ɸ' and Θ are cyclic codes over Fq, and they still keep the dual relation.
Abstract: In this paper, we extend the concepts of primal and
weakly primal ideals for posets. Further, the diameter of the zero
divisor graph of a poset with respect to a non-primal ideal is
determined. The relation between primary and primal ideals in posets
is also studied.
Abstract: Numerical computation of wave propagation in a large
domain usually requires significant computational effort. Hence, the
considered domain must be truncated to a smaller domain of interest.
In addition, special boundary conditions, which absorb the outward
travelling waves, need to be implemented in order to describe the
system domains correctly. In this work, the linear one dimensional
wave equation is approximated by utilizing the Fourier Galerkin
approach. Furthermore, the artificial boundaries are realized with
absorbing boundary conditions. Within this work, a systematic work
flow for setting up the wave problem, including the absorbing
boundary conditions, is proposed. As a result, a convenient modal
system description with an effective absorbing boundary formulation
is established. Moreover, the truncated model shows high accuracy
compared to the global domain.
Abstract: Today’s internet world is highly prone to various online attacks, of which the most harmful attack is phishing. The attackers host the fake websites which are very similar and look alike. We propose an image based authentication using steganography and visual cryptography to prevent phishing. This paper presents a secure steganographic technique for true color (RGB) images and uses Discrete Cosine Transform to compress the images. The proposed method hides the secret data inside the cover image. The use of visual cryptography is to preserve the privacy of an image by decomposing the original image into two shares. Original image can be identified only when both qualified shares are simultaneously available. Individual share does not reveal the identity of the original image. Thus, the existence of the secret message is hard to be detected by the RS steganalysis.
Abstract: The aim of this paper is to introduce the concepts of fuzzy subalgebras, fuzzy ideals and fuzzy quotient algebras of BCI-algebras with operators, and to investigate their basic properties.
Abstract: The main focus of this manuscript is to provide a
highly efficient two-point sixth-order family of super-Halley type
methods that do not require any second-order derivative evaluation
for obtaining simple roots of nonlinear equations, numerically. Each
member of the proposed family requires two evaluations of the given
function and two evaluations of the first-order derivative per iteration.
By using Mathematica-9 with its high precision compatibility, a
variety of concrete numerical experiments and relevant results are
extensively treated to confirm t he t heoretical d evelopment. From
their basins of attraction, it has been observed that the proposed
methods have better stability and robustness as compared to the other
sixth-order methods available in the literature.
Abstract: The problem of symmetries in field theory has been analyzed using geometric frameworks, such as the multisymplectic models by using in particular the multivector field formalism. In this paper, we expand the vector fields associated to infinitesimal symmetries which give rise to invariant quantities as Noether currents for classical field theories and relativistic mechanic using the multisymplectic geometry where the Poincaré-Cartan form has thus been greatly simplified using the Second Order Partial Differential Equation (SOPDE) for multi-vector fields verifying Euler equations. These symmetries have been classified naturally according to the construction of the fiber bundle used. In this work, unlike other works using the analytical method, our geometric model has allowed us firstly to distinguish the angular moments of the gauge field obtained during different transformations while these moments are gathered in a single expression and are obtained during a rotation in the Minkowsky space. Secondly, no conditions are imposed on the Lagrangian of the mechanics with respect to its dependence in time and in qi, the currents obtained naturally from the transformations are respectively the energy and the momentum of the system.
Abstract: This work is devoted to the study of modeling
geophysical time series. A stochastic technique with time-varying
parameters is used to forecast the volatility of data arising in
geophysics. In this study, the volatility is defined as a logarithmic
first-order autoregressive process. We observe that the inclusion of
log-volatility into the time-varying parameter estimation significantly
improves forecasting which is facilitated via maximum likelihood
estimation. This allows us to conclude that the estimation algorithm
for the corresponding one-step-ahead suggested volatility (with ±2
standard prediction errors) is very feasible since it possesses good
convergence properties.
Abstract: Branch of modern mathematics, graphs represent instruments
for optimization and solving practical applications in
various fields such as economic networks, engineering, network optimization,
the geometry of social action, generally, complex systems
including contemporary urban problems (path or transport efficiencies,
biourbanism, & c.). In this paper is studied the interconnection
of some urban network, which can lead to a simulation problem of a
digraph through another digraph. The simulation is made univoc or
more general multivoc. The concepts of fragment and atom are very
useful in the study of connectivity in the digraph that is simulation
- including an alternative evaluation of k- connectivity. Rough set
approach in (bi)digraph which is proposed in premier in this paper
contribute to improved significantly the evaluation of k-connectivity.
This rough set approach is based on generalized rough sets - basic
facts are presented in this paper.