Volume 2, Issue 5

Current Issue features key papers related to multidisciplinary domains involving complex system stemming from numerous disciplines; this is exactly how this journal differs from other interdisciplinary and multidisciplinary engineering journals. This issue contains 26 accepted papers in Mathematics domain.
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Three-Pass Protocol Implementation in Vigenere Cipher Classic Cryptography Algorithm with Keystream Generator Modification
Vigenere Cipher is one of the classic cryptographic algorithms and included into symmetric key cryptography algorithm, where to encryption and decryption process use the same key. Vigenere Cipher has the disadvantage that if key length is not equal to the length of the plaintext, then the key will be repeated until equal to the plaintext…
Read MoreModification of Symmetric Cryptography with Combining Affine Chiper and Caesar Chiper which Dynamic Nature in Matrix of Chiper Transposition by Applying Flow Pattern in the Planting Rice
Classical cryptography is a way of disguising the news done by the people when there was no computer. The goal is to protect information by way of encoding. This paper describes a modification of classical algorithms to make cryptanalis difficult to steal undisclosed messages. There are three types of classical algorithms that are combined affine…
Read MoreCollaborative Encryption Algorithm Between Vigenere Cipher, Rotation of Matrix (ROM), and One Time Pad (OTP) Algoritma
Cryptography is still developing today. Classical cryptography is still in great demand for research and development. Some of them are Vigenere Cipher and One Time Pad (OTP) Algorithm. Vigenere Cipher is known as the alphabet table used to encrypt messages. While OTP is often used because it is still difficult to solve. Currently there are…
Read MoreCombination of Caesar Cipher Modification with Transposition Cipher
The caesar cipher modification will be combine with the transposition cipher, it would be three times encryption on this experiment that is caesar modification at first then the generated ciphertext will be encrypted with transposition, and last, the result from transposition will be encrypted again with the second caesar modification, similarly at the decryption but…
Read MoreAnalysis of Learning Development With Sugeno Fuzzy Logic And Clustering
In the first journal, I made this attempt to analyze things that affect the achievement of students in each school of course vary. Because students are one of the goals of achieving the goals of successful educational organizations. The mental influence of students’ emotions and behaviors themselves in relation to learning performance. Fuzzy logic can…
Read MoreA Theoretical and Experimental Comparison of One Time Pad Cryptography using Key and Plaintext Insertion and Transposition (KPIT) and Key Coloumnar Transposition (KCT) Method
One Time Pad (OTP) is a cryptographic algorithm that is quite easy to be implemented. This algorithm works by converting plaintext and key into decimal then converting into binary number and calculating Exclusive-OR logic. In this paper, the authors try to make the comparison of OTP cryptography using KPI and KCT so that the ciphertext…
Read MoreSystem Control Device Electronics Smart Home Using Neural Networks
The use of information technology is very useful for today’s life and the next, where the human facilitated in doing a variety of activities in the life day to day. By the development of the existing allows people no longer do a job with difficulty. For that, it takes a system safety home using system…
Read MoreComparison of K-Means and Fuzzy C-Means Algorithms on Simplification of 3D Point Cloud Based on Entropy Estimation
In this article we will present a method simplifying 3D point clouds. This method is based on the Shannon entropy. This technique of simplification is a hybrid technique where we use the notion of clustering and iterative computation. In this paper, our main objective is to apply our method on different clouds of 3D points.…
Read MoreDegenerate \(p(x)\)-elliptic equation with second membre in \(L^{1}\)
In this paper, we prove the existence of a solution of the strongly nonlinear degenerate \(p(x)\)-elliptic equation of type: \(\mathcal{(P)}\left\{\begin{array}{rl} - div\; a(x,u,\nabla u) +g(x,u,\nabla u)& = f \quad in \;\Omega, \\ u = 0 \quad on \quad \partial\Omega, \end{array}\right.\) where \(\Omega\) is a bounded open subset of \( I\!\!R^{N}, N\geq 2, a\) is a…
Read MoreSteel heat treating: mathematical modelling and numerical simulation of a problem arising in the automotive industry
We describe a mathematical model for the industrial heating and cooling processes of a steel workpiece representing the steering rack of an automobile. The goal of steel heat treating is to provide a hardened surface on critical parts of the workpiece while keeping the rest soft and ductile in order to reduce fatigue. The high…
Read MorePetrov-Galerkin formulation for compressible Euler and Navier-Stokes equations
The resolution of the Navier-Stokes and Euler equations by the finite element method is the focus of this paper. These equations are solved in conservative form using, as unknown variables, the so-called conservative variables (density, momentum per unit volume and total energy per unit volume). The variational formulation developed is a variant of the Petrov-Galerkin…
Read MoreSimulation of flows in heterogeneous porous media of variable saturation
We develop a resolution of the Richards equation for the porous media of variable saturation by a finite element method. A formulation of interstitial pressure head and volumetric water content is used. A good conservation of the global and local mass is obtained. Some applications in the case of heterogeneous media are presented. These are…
Read MoreModels accounting for the thermal degradation of combustible materials under controlled temperature ramps
The purpose of this conference is to present and analyze di_erent models accounting for the thermal degradation of combustible materials (biomass, coals, mixtures…), when submitted to a controlled temperature ramp and under non-oxidative or oxidative atmospheres. Because of the possible rarefaction of fossil fuels, the analysis of di_erent combustible materials which could be used as…
Read MoreThreshold Multi Split-Row algorithm for decoding irregular LDPC codes
In this work, we propose a new threshold multi split-row algorithm in order to improve the multi split-row algorithm for LDPC irregular codes decoding. We give a complete description of our algorithm as well as its advantages for the LDPC codes. The simulation results over an additive white gaussian channel show that an improvement in…
Read MoreA new color image encryption algorithm based on iterative mixing of color channels and chaos
In this paper, we present a novel secure cryptosystem for direct encryption of color images, based on an iterative mixing spread over three rounds of the R, G and B color channels and three enhanced chaotic maps. Each round includes an affine transformation that uses three invertible matrices of order 2 _ 2; whose parameters…
Read MoreCyclical contractive conditions in probabilistic metric spaces
The purpose of this paper is to prove a fixed point theorem for a probabilistic k-contraction restricted to two nonempty closed sets of a probabilistic metric spaces, then we prove that these results can be extended to a collection of finite closed sets.
Read MoreGroup law and the Security of elliptic curves on \(F_p[e_1,...,e_n]\)
In this paper, we study the elliptic curve \(E_{a,b}(A_P)\), with \(A_P\) the localization of the ring \(A=F _p[e_1,...,e_n]\) where \(e_ie_i=e_i\) and \(e_ie_j=0\) if \(i\neq j\), in the maximal ideal \(P=(e_1,...,e_n)\). Finally we show that \( \text{Card}(E_{a,b}(A_P)) \geq (\text{Card}(E_{a,b}(F_p)) - 3)^n + \text{Card}(E_{a,b}(F_p)) \) and the execution time to solve the problem of discrete logarithm in \(E_{a,b}(A_P)\)…
Read MoreNonlinear parabolic problem with lower order terms in Musielak-Orlicz spaces
We prove an existence result of entropy solutions for the nonlinear parabolic problems: \(\frac{\partial b(x,u)}{\partial t} + A(u) - div(\Phi(x,t,u))+H(x,t,u,\nabla u) =f,\) and \(A(u)=-div(a(x,t,u,\nabla u))\) is a Leary-Lions operator defined on the inhomogeneous Musielak-Orlicz space, the term \(\Phi(x,t,u)\) is a Cratheodory function assumed to be continuous on u and satisfy only the growth condition \(\Phi(x,t,u)\leq…
Read MoreS-asymptotically w-periodic solutions in the p-th mean for a Stochastic Evolution Equation driven by Q-Brownian motion
In this paper, we study the existence (uniqueness) and asymptotic stability of the p-th mean S-asymptotically !-periodic solutions for some nonautonomous Stochastic Evolution Equations driven by a Q-Brownian motion. This is done using the Banach fixed point Theorem and a Gronwall inequality.
Read MoreOn the Spectrum of problems involving both [latex]p(x)\)-Laplacian and \(P(x)\)-Biharmonic
We prove the existence of at least one non-decreasing sequence of positive eigenvalues for the problem, $$\begin{gathered}\left\{ \begin{array}{ll} \Delta_{p(x)}^{2}u-\triangle_{p(x)}u= \lambda |u|^{p(x)-2}u, \ \ \quad in \ \Omega \\ u\in W^{2,p(x)}(\Omega)\cap W_{0}^{1,p(x)}(\Omega),\end{array}\right. \end{gathered}$$ Our analysis mainly relies on variational arguments involving Ljusternik-Schnirelmann theory.
Read MoreExistence and Boundedness of Solutions for Elliptic Equations in General Domains
This article is devoted to study the existence of solutions for the strongly nonlinear \(p(x)\)-elliptic problem: \(- \Delta_{p(x)} (u) + \alpha_0 |u|^{p(x)-2}u = d(x)\frac{|\nabla u|^{p(x)}}{|u|^{p(x)}+1} + f- div g(x) \quad \text{in } \Omega, \) \(u \in W_0^{1,p(x)}(\Omega), \) Where \(\Omega\) is an open set of \(\mathbb{R}^N\), possibly of infinite measure, we will also give some…
Read MoreNonresonance between the first two Eigencurves of Laplacian for a Nonautonomous Neumann Problem
We consider the following Neumann elliptic problem \( \left\{ \begin{array}{rl} -\Delta u =\alpha\,m_{1}(x)\,u+m_{2}(x)\,g(u)+h(x)\quad & in \: \Omega,\\ \quad\\ \frac{\partial u}{\partial\nu} = 0\qquad\qquad\qquad\qquad\qquad\qquad\quad& on\: \partial\Omega. \end{array} \right. \) By means of Leray-Schauder degree and under some assumptions on the asymptotic behavior of the potential of the nonlinearity g, we prove an existence result for our equation…
Read MoreExistence Results for Nonlinear Anisotropic Elliptic Equation
In this work, we shall be concerned with the existence of weak solutions of anisotropic elliptic operators \(Au +\sum_{i=1}^{N}g_{i}(x, u, \nabla u)+\sum_{i=1}^{N}H_{i}(x, \nabla u)=f-\sum_{i=1}^{N} \frac{\partial }{\partial x_{i}}k_{i}\) where the right hand side \(f\) belongs to \(L^{p^{'}_{\infty}}(\Omega)\) and \(k_{i}\) belongs to \(L^{p_{i}^{'}}(\Omega)\) for \(i=1,...,N\) and \(A\) is a Leray-Lions operator. The critical growth condition on \(g_{i}\) is…
Read MoreBoundary gradient exact enlarged controllability of semilinear parabolic problems
The aim of this paper is to study the boundary enlarged gradient controllability problem governed by parabolic evolution equations. The purpose is to find and compute the control \(u\) which steers the gradient state from an initial gradient one \(\nabla y_{_{0}}\) to a gradient vector supposed to be unknown between two defined bounds \(b_1\) and…
Read More\(L^\infty\)-Estimates for Nonlinear Degenerate Elliptic Problems with p-growth in the Gradient
In this work, we will prove the existence of bounded solutions for the nonlinear elliptic equations \(- div(a(x,u,\nabla u)) = g(x,u,\nabla u) -divf,\) in the setting of the weighted Sobolev space \(W^{1,p}(\Omega,w)\) where \(a\), \(g\) are Caratheodory functions which satisfy some conditions and \(f\) satisfies suitable summability assumption.
Read MoreDoubly Nonlinear Parabolic Systems In Inhomogeneous Musielak- Orlicz-Sobolev Spcaes
In this paper, we discuss the solvability of the nonlinear parabolic systems associated to the nonlinear parabolic equation: \(\frac{\partial b_{i}(x,u_{i})}{\partial t} -div(a(x,t,u_{i},\nabla u_{i}))- \phi_{i}(x,t,u_{i})) +f_{i}(x,u_{1},u_{2})=0\) where the function \(b_{i}(x,u_{i})\) verifies some regularity conditions, the term \(\Big(a(x,t,u_{i},\nabla u_{i})\Big)\) is a generalized Leray-Lions operator and \(\phi_{i}\) is a Caratheodory function assumed to be Continuous on \(u_i\) and satisfy only a…
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