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Articles 301 - 330 of 2320
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On Solving Partial Differential Equations By A Coupling Of The Homotopy Perturbation Method And A New Integral Transform, Inas A. A., E. E. Eladdad
On Solving Partial Differential Equations By A Coupling Of The Homotopy Perturbation Method And A New Integral Transform, Inas A. A., E. E. Eladdad
Applied Mathematics & Information Sciences
In this work, we use a combination between a new integral transform and the homotopy perturbation method. This combination presents an accurate methodology to obtain an exact and numerical solutions for linear and nonlinear partial differential equations. The aim of using this new integral transform is to overcome the deficiency. It is mainly caused by unsatisfied conditions in the other semi-analytical methods such as HPM, VIM, and ADM. More than, this new method appears more applicable, it needs fewer computations. As in the provided numerical example, this method can be used in engineering computations.
Quadruple Coincidence Point Methodologies For Finding A Solution To A System Of Integral Equations With A Directed Graph, Rashwan. A. Rashwan, Hasanen. A. Hammad, A. Nafea
Quadruple Coincidence Point Methodologies For Finding A Solution To A System Of Integral Equations With A Directed Graph, Rashwan. A. Rashwan, Hasanen. A. Hammad, A. Nafea
Applied Mathematics & Information Sciences
The purpose of this manuscript is to present some quadruple coincidence point results for φ−Geraghty contraction mappings in metric spaces with a directed graph. In order to highlight the importance of the theoretical results, the existence and uniqueness of the solution to a system of integral equations are obtained.
Inferences For Two Weibull Fre ́Chet Populations Under Joint Progressive Type-Ii Censoring With Applications In Engineering Chemistry, Ethar M. Shokr, Rashad M. El-Sagheer, Moaiad Khder, Beih S. El-Desouky
Inferences For Two Weibull Fre ́Chet Populations Under Joint Progressive Type-Ii Censoring With Applications In Engineering Chemistry, Ethar M. Shokr, Rashad M. El-Sagheer, Moaiad Khder, Beih S. El-Desouky
Applied Mathematics & Information Sciences
Comparative lifetime experiments are vital when the interest is in learning the overall benefits of two competing products with respect to their reliability. In this article, point and interval estimations for the unknown parameters of two Weibull- Fre ́chet populations based on joint progressive Type-II censoring samples are discussed. The point estimations for the two distribution parameters are obtained by the maximum likelihood, Bayes and parametric bootstrap methods. Moreover, approximate confidence intervals and credible intervals of the estimators have been obtained and compared with four bootstrap confidence intervals. Furthermore, Bayes estimators have been developed under squared error loss and linear …
Numerical Approximation Of A Nonlinear Fractional Elliptic System, Sara Dob, Messaoud Maouni, Kamel Slimani, Hakim Lakhal
Numerical Approximation Of A Nonlinear Fractional Elliptic System, Sara Dob, Messaoud Maouni, Kamel Slimani, Hakim Lakhal
Applied Mathematics & Information Sciences
This paper proposes a fractional numerical approximation of elliptic system with fractional order (s ∈]0, 1[) via the finite difference method (FDM), the analysis is performed on two general dimensional domains with homogeneous boundary conditions. A convergent series solution and the corresponding error estimates are obtained. The performance of FDM is tested with known exact solution, which confirm the theoretical predictions.
Stability Of First Order Linear General Quantum Difference Equations In A Banach Algebra, Enas M. Shehata, Nashat Faried, Rasha M. El Zafarani
Stability Of First Order Linear General Quantum Difference Equations In A Banach Algebra, Enas M. Shehata, Nashat Faried, Rasha M. El Zafarani
Applied Mathematics & Information Sciences
The general quantum difference operator Dβ is defined by Dβ y(t ) = (y(β (t )) − y(t )) /(β (t ) − t ), β (t ) ̸= t where the function β(t) is strictly increasing continuous on an interval I ⊆ R and has a unique fixed point s0 ∈ I. In this paper, we establish the characterizations of stability of the first order linear β -difference equations, associated with Dβ , in a Banach algebra E with a unit e and norm ∥ · ∥. We prove the uniform stability, asymptotic stability, exponential stability and h-stability of …
Optimal Control And Solving Of Cellular Dna Cancer Model, Mohamed S. Mohamed, Sayed K. Elagan, Saad J. Almalki, Muteb R. Alharthi, Mohamed F. El-Badawy, Sahar A. Najati
Optimal Control And Solving Of Cellular Dna Cancer Model, Mohamed S. Mohamed, Sayed K. Elagan, Saad J. Almalki, Muteb R. Alharthi, Mohamed F. El-Badawy, Sahar A. Najati
Applied Mathematics & Information Sciences
In this study, we have presented a novel fractional numerical model for the breast cancer stages. We have proved the existence of a stable solution of the fractional model. Also, the optimal control of this model and numerical technique for the simulation of the control problem is discussed. We have proved the existence of the solution. We have achieved the results of the dissection with numeral emulations. The compartment diagram of the model is done. We have utilized Mathematica programming to calculate the outcomes. A lot of investigators have shown that bacterial DNA could generate and suck electromagnetic waves. One …
New Algorithms For Electronic Digital Elliptic Curves, Mirsaid Aripov, Davlatyor Kuryazov
New Algorithms For Electronic Digital Elliptic Curves, Mirsaid Aripov, Davlatyor Kuryazov
Applied Mathematics & Information Sciences
The signature is the legal guarantor of the authorship of the document. With the wide distribution in the modern world of electronic forms of workflow, including confidential ones, the problem of establishing the authenticity and authorship of paperless electronic documentation has become especially urgent in the telecommunications network. The basic mechanism for solving such problems is an electronic digital signature. Based on the analysis of the development of digital signature standards, the article proposes and proves the correctness of new digital signature algorithms based on the complexity of the discrete logarithm on elliptic curves.
Discrete Extended Erlang-Truncated Exponential Distribution And Its Applications, Alaa R. El-Alosey, Hussein Eledum
Discrete Extended Erlang-Truncated Exponential Distribution And Its Applications, Alaa R. El-Alosey, Hussein Eledum
Applied Mathematics & Information Sciences
A new discrete distribution with three parameters called the Discrete Extended Erlang-Truncated Exponential distribution (DEETE) is proposed by using the general approach of discretizing a continuous distribution while retaining its survival function. Some statistical properties of the DEETE, such as the quantile function, moments, moment generating function, Renyi entropy and order statistics, are studied. The maximum likelihood method is utilized to estimate the parameters of the model. Some special cases of DEETE distribution are derived. The proposed distribution is applied to two real-life count data sets and compared with some related discrete distributions. Moreover, DEETE is used to fit some …
The Effects Of Magnetic Field On Boundary Layer Nano-Fluid Flow Over Stretching Sheet, Emad M. Abo-Eldahab, Rasha Adel, Hoda M. Mobarak, M. Abdelhakem
The Effects Of Magnetic Field On Boundary Layer Nano-Fluid Flow Over Stretching Sheet, Emad M. Abo-Eldahab, Rasha Adel, Hoda M. Mobarak, M. Abdelhakem
Applied Mathematics & Information Sciences
The effects of magnetic field on boundary layer nano-fluid flow over stretching sheet have been investigated. Different factors affecting the nano-fluid’s motion and particles have been studied, mainly the changes in the stretching sheet caused by an external magnetic field with nano-particles such as Cu. Therefore, we modified and improved a model to study boundary layers nano- fluid flow. That model’s partial differential equations (PDEs) will be transformed into a non-linear higher-order system of ordinary differential equations (h-order ODEs) using similarities transformation. The obtained system will be approximated using an efficient and accurate spectral residual method. This method is a …
Definition Of A Three-Pass Protocol Using The Lieb-Liniger Model, Mukhayo Rasulova, Jakhongir Yunusov
Definition Of A Three-Pass Protocol Using The Lieb-Liniger Model, Mukhayo Rasulova, Jakhongir Yunusov
Applied Mathematics & Information Sciences
In this work it is proposed a new encryption method which provides its own transformation for each cell of information. This new method is based on the Lieb-Liniger Model describing a gas of bosons in one dimensional space. Keywords:
The Interval Vectors Of Χ2 Sequence Space Defined By Musielak Orlicz Function, M. R. Bivin, N. Saivaraju, N. Subramanian
The Interval Vectors Of Χ2 Sequence Space Defined By Musielak Orlicz Function, M. R. Bivin, N. Saivaraju, N. Subramanian
Applied Mathematics & Information Sciences
In this paper we introduce χ2 of four dimensional interval vectors some theorems on four dimensional interval numbers and some definitions which are the natural combination of the definition of interval vectors of χ2 of Musielak Orlicz function also some inclusion relations are studied.
Statistical Inference Under Copula Approach Of Accelerated Dependent Generalized Inverted Exponential Failure Time With Progressive Hybrid Censoring Scheme, Ahmed A. Soliman, Al-Wageh A. Farghal, Gamal.A. Abd-Elmougod
Statistical Inference Under Copula Approach Of Accelerated Dependent Generalized Inverted Exponential Failure Time With Progressive Hybrid Censoring Scheme, Ahmed A. Soliman, Al-Wageh A. Farghal, Gamal.A. Abd-Elmougod
Applied Mathematics & Information Sciences
The problem of statistical inference in reliability theory for the competing risks model under accelerated life testing (ALT) have a great significance. In practice, independent variables are assumed for convenience, which do not agree with the nature of the problem at hand. In this paper, we consider the constant stress accelerated life testing (CS-ALT) of dependent competing risks model for generalized inverted exponential distribution (GIED). The dependence structure is described by the copula approach between variable. Under consideration that units is failing by only two dependent causes of failure under constant stress ALTs and type-I progressive hybrid censoring scheme (PHCS), …
Assessing The Impact Of Vaccination On Covid-19 In South Africa Using Mathematical Modeling, Musyoka Kinyili, Justin B. Munyakazi, Abdulaziz Y. A. Mukhtar
Assessing The Impact Of Vaccination On Covid-19 In South Africa Using Mathematical Modeling, Musyoka Kinyili, Justin B. Munyakazi, Abdulaziz Y. A. Mukhtar
Applied Mathematics & Information Sciences
The unexpected continuing mushrooming tendency of the COVID-19 epidemic calls for alarm in the entire globe especially with the cropping up of more divergent contagious variants being witnessed. On top of the many non-pharmaceutical measures put in place for containment of the pandemic, pharmacological measures have been incorporated in the battle against the SARS-CoV-2 especially with the commencement of vaccination in the early December 2020. This study develops a deterministic compartmental model that incorporates vaccination as a measure to combat the spread of COVID-19 epidemic. We use the model particularly to assess the potential impact of vaccination in shattering the …
On Dynamical Analysis Of A Prey-Diseased Predator Model With Refuge In Prey, Srinivasarao Thota, Abayomi Ayoade
On Dynamical Analysis Of A Prey-Diseased Predator Model With Refuge In Prey, Srinivasarao Thota, Abayomi Ayoade
Applied Mathematics & Information Sciences
In this paper, we propose a mathematical model of a prey-diseased predator model with refuge in prey system. In other words, a prey-predator model with an infectious disease in the prey population is formulated. This model is constituted by a system of three nonlinear ordinary differential equations of first order, which describe the interaction between the infected prey, non-infected prey and predator. The equilibria of the system are derived and the stability analyses of the disease-free and the endemic equilibria are conducted.
The Finite Bessel Transforms, Kenan Uriostegui, Kurt Bernardo Wolf
The Finite Bessel Transforms, Kenan Uriostegui, Kurt Bernardo Wolf
Applied Mathematics & Information Sciences
Special functions that are generated by a Fourier transform over a circle, also provide {\it discrete\/} counterparts, where the circle is substituted by $N$ equidistant points over that circle, with the finite Fourier transform over them. This process was applied to Bessel and Mathieu functions in [{\it Appl.\ Math.\ Inf.\ Sci.} {\bf 15}, {307--315} (2021)]. The resulting {\it discrete Bessel functions}, $B_n^\ssty{N}(x)$, $n\in\{0,1,\ldots,N{-}1\}$, satisfy the linear and Graf quadratic relations of their continuous counterparts, and provide a very close numerical approximation with $\lim_{N\to\infty}B_n^\ssty{N}(x) = J_n(x)$. In this paper, the $N\times N$ matrices ${\bf B}=\Vert B_{n,m}\Vert$, for $B_{n,m}:=B_n^\ssty{N}(x_m)$ over $x_m\in\{0,1,\ldots,\,N{-}1\}$, are …
Decomposition Matrices For The Spin Characters Of The Symmetric Group 23 ≤ N ≤ 24, Abdulkareem A. Yaseen, Marwa M. Jawad
Decomposition Matrices For The Spin Characters Of The Symmetric Group 23 ≤ N ≤ 24, Abdulkareem A. Yaseen, Marwa M. Jawad
Applied Mathematics & Information Sciences
In this paper, we compute the Brauer trees of the symmetric group Sn, 23 ≤ n ≤ 24. It gives the decomposition matrices of spin characters of Sn, 23 ≤ n ≤ 24, modulo p = 17. We conclude that all blocks of defect zero or one and the decomposition numbers are all zero or one.
On The Determination Of Spacelike Ruled And Developable Surfaces In Minkowski 3-Space, Monia Naghi, Rashad A. Abdel-Baky, Nadia Alluhaibi
On The Determination Of Spacelike Ruled And Developable Surfaces In Minkowski 3-Space, Monia Naghi, Rashad A. Abdel-Baky, Nadia Alluhaibi
Applied Mathematics & Information Sciences
In this paper, we introduce a method for determination of spacelike ruled surface from the coordinates and the first derivatives of the base curve by making use of dual vector calculus. Consequently, we discuss the method for spacelike developable ruled surfaces, and obtain a linear differential equation of first order. Finally, this method is demonstrated through several examples.
An Application Of The Weibull-Poisson Long-Term Survival Regression Model, Valdemiro Piedade Vigas, Giovana Oliveira Silva, Josmar Mazucheli
An Application Of The Weibull-Poisson Long-Term Survival Regression Model, Valdemiro Piedade Vigas, Giovana Oliveira Silva, Josmar Mazucheli
Applied Mathematics & Information Sciences
n this paper, we illustrate the applicability of a regression model referring to patients with cutaneous melanoma. The reason for the choice of the dataset is due the disease be responsible for most cases of skin cancer. The proposed regression model is based on the Weibull-Poisson distribution in a structure of long-term modeling, in which the covariates were included in the proportion p of cured via the logistic link function. The motivation to study this distribution is since, in addition to generalizing the Weibull model, which is widely used in several areas of knowledge among them the survival analysis, it …
Some Properties And Application Of Modified Jacknified Liu-Type Negative Binomial Ridge Regression, Huda M. Alshanbari, Irsa Sajjad, Javid Gani Dar, Abd Al-Aziz Hosni El-Bagoury, Sundus Naji Al-Aziz
Some Properties And Application Of Modified Jacknified Liu-Type Negative Binomial Ridge Regression, Huda M. Alshanbari, Irsa Sajjad, Javid Gani Dar, Abd Al-Aziz Hosni El-Bagoury, Sundus Naji Al-Aziz
Applied Mathematics & Information Sciences
The aim of this paper is to introduce a new estimator for the modified Jackknified Liu Type Negative Binomial. As in the presence of multicollinearity, the Maximum Likelihood Estimator (MLE) is unable to produce valid statistical inference. So, this paper is designed to solve the problem of multicollinearity. Several ridge regression estimators are used for this purpose. Moreover, Monte Carlo simulation and real life data set are applied on the proposed and existing estimators to evaluate the performance of proposed estimator in the case of MSE. The results reveal that our proposed estimator has best performance among all other estimators …
Implementation And Security Analysis Of The B92 Protocol Using Id3100 Clavis2 System, Mhlambululi Mafu, Makhamisa Senekane
Implementation And Security Analysis Of The B92 Protocol Using Id3100 Clavis2 System, Mhlambululi Mafu, Makhamisa Senekane
Applied Mathematics & Information Sciences
We present an experimental demonstration of the B92 quantum key distribution protocol using the id3100 Clavis2 system from idQuantique. The B92 protocol implemented on this device utilizes the hardware more efficiently than the factory loaded four state protocols (BB84 and SARG04). The system shows a secure key generation rate of 6.42 kilobits per second and a quantum bit error rate of 1.75% at a mean photon number (μ) = 0.03 over an optical line length of up to 80 km. Our results scale similarly to the BB84 protocol results, thus showing the feasibility of implementing a two-state protocol over a …
Analysis Of The Quantum Algorithm Based On Entanglement Measure For Classifying Boolean Multivariate Function Into Novel Hidden Classes: Revisited, Mohammed Zidan, Saeed Aldulaimi, Hichem Eleuch
Analysis Of The Quantum Algorithm Based On Entanglement Measure For Classifying Boolean Multivariate Function Into Novel Hidden Classes: Revisited, Mohammed Zidan, Saeed Aldulaimi, Hichem Eleuch
Applied Mathematics & Information Sciences
In this work, we revisit the algorithm proposed in [Results in Physics 15 (2019) 102549] for solving an extended variant of the Deutsch-Jozsa problem. This algorithm classifies an arbitrary oracle Uf to one of 2n classes based on the concurrence measure. Here, we reformulate the mathematical proof of this algorithm in detail based on the first technique of the degree of entanglement quantum computing model.
Hadamard Integral Inequality For The Class Of Geodesic Convex Functions, Sadegh Abbaszadeh, Maryam Oraki, Ali Ebadian
Hadamard Integral Inequality For The Class Of Geodesic Convex Functions, Sadegh Abbaszadeh, Maryam Oraki, Ali Ebadian
Applied Mathematics & Information Sciences
In this paper, we introduce the concept of (γ,η)-convex function by the inequality fγx,y(t)≤ηf(x),f(y)(t), in which γ and η are two geodesic arcs. Then, we will find some refinements of Hadamard integral inequality for (γ,η)-convex functions in the case of Lebesgue and Sugeno integral.
A Note On Modules And Submodules Over Polynomial Rings, Carlos Henrique Tognon, Mansour Lotayif
A Note On Modules And Submodules Over Polynomial Rings, Carlos Henrique Tognon, Mansour Lotayif
Applied Mathematics & Information Sciences
In this paper, we consider R a commutative ring with identity non-zero and the R-module I(G), which is the edge ideal of a graph simple and finite G, with no isolated vertices. A submodule N of I(G) is called an edge dense submodule if HomR(I(G)/N,ER(I(G))) = 0, where ER(I(G)) is the injective hull of I(G). The R-module I(G) is said to be edge monoform if any nonzero submodule of I(G) is an edge dense submodule. Here in this paper, we presented some results which involve the definition of the module I(G) to be edge monoform.
Iterative Methods For Solving The Fractional Form Of Axisymmetric Squeezing Fluid Flow Between Tow Infinite Parallel Plates With Slip Boundary Conditions, A. A. Hemeda, E. E. Eladdad, E. A. Tarif
Iterative Methods For Solving The Fractional Form Of Axisymmetric Squeezing Fluid Flow Between Tow Infinite Parallel Plates With Slip Boundary Conditions, A. A. Hemeda, E. E. Eladdad, E. A. Tarif
Applied Mathematics & Information Sciences
We introduce squeezing flow between two infinite parallel plates with slip boundary conditions. By similarity transformations, the system of nonlinear partial differential equations of motion is reduced to fourth order nonlinear ordinary differential equation. The resulting boundary value fractional problem is solved and the velocity profiles are investigated through various techniques like new iterative method, Picard method and Adomain decomposition method. The comparisons of solutions for different values of the fractional order conform that the three methods are identical and are suitable for solving this kind of problems.
On The Numerical Solution Of The Nonlocal Elliptic Problem With A P-Kirchhoff-Type Term, M. S. Daoussa Haggar, M. Mbehou
On The Numerical Solution Of The Nonlocal Elliptic Problem With A P-Kirchhoff-Type Term, M. S. Daoussa Haggar, M. Mbehou
Applied Mathematics & Information Sciences
This work is devoted to the study of the finite element method for a class of nonlocal elliptic problems associated with p- Kirchhoff-type operator. The convergence and a priori error estimates for the discrete formulation are established. Moreover, the finite element formulation is nonlinear, it can then be solved by Newton-Raphson’s iterative but the main issue is that the Jacobian matrix of the Newton-Raphson method is full due to the presence of the nonlocal term thereby making computation expensive. To avoid this difficulty, the new formulation whose Jacobian matrix is sparse is given. Finally, the predictions observed theoretically are validated …
Linear Fractional Programming Based On Trapezoidal Neutrosophic Numbers, A. M. Elhadidi, O. E. Emam, A. M. Abdelfadel, Mansour Lotayif
Linear Fractional Programming Based On Trapezoidal Neutrosophic Numbers, A. M. Elhadidi, O. E. Emam, A. M. Abdelfadel, Mansour Lotayif
Applied Mathematics & Information Sciences
In this paper, we introduce a new solution technique for resolving the neutrosophic linear fractional programming problem, where the objective function’s coefficients are neutrosophic trapezoidal-numbers. We convert the problem into a crisp multi-objective linear fractional programming. The transformed multi-objective linear fractional programming problem is reduced to a single-objective linear programming problem (LP) by using the proposed approach, which can be easily solved by suitable algorithm. A numerical example is given to verify the proposed method.
A New Generalization Of Garima Distribution With Application To Real Life Data, Maryam Mohiuddin, Hilal Al Bayatti, R. Kannan
A New Generalization Of Garima Distribution With Application To Real Life Data, Maryam Mohiuddin, Hilal Al Bayatti, R. Kannan
Applied Mathematics & Information Sciences
In this paper, we proposed a new distribution based on Garima distribution called as Alpha Power Transformed Garima distribution by using a technique developed by Mahdavi and Kundu. Some of the reliability and statistical properties of the distribution are obtained such as reliability function, hazard function, order statistics, Bonferroni and Lorenz curve. Model parameters are estimated by maximum likelihood and the least square method. Finally, the real-life data sets are investigated to know the performance and flexibility of this distribution.
Mathematical Modelling Of An Advection-Driven Interspecific Competition, Joel N. Ndam, Christian O. Akaluzia, Hilal Al Bayatti
Mathematical Modelling Of An Advection-Driven Interspecific Competition, Joel N. Ndam, Christian O. Akaluzia, Hilal Al Bayatti
Applied Mathematics & Information Sciences
An advection-driven interspecific competition model is constructed, which we believe is more physically realistic as the movements of competing species are usually aimed at a target. Standard analysis using the travelling wave approach was employed, and the results show that the equilibrium points are independent of the advection velocities and the wave speed. However, the stability of each steady state depends on the wave speed and the advection velocities of the competing species. Conditions for the extinction and coexistence of the species were also obtained and illustrated using numerical simulations. The implication for ecological resource management is also highlighted.
Construct Extended Cubic B-Splines In N-Dimensional For Solving N-Dimensional Partial Differential Equations, K. R. Raslan, Khalid K. Ali, M. Y. Al-Bayatti
Construct Extended Cubic B-Splines In N-Dimensional For Solving N-Dimensional Partial Differential Equations, K. R. Raslan, Khalid K. Ali, M. Y. Al-Bayatti
Applied Mathematics & Information Sciences
In this work, we present a solution to a major problem that most researchers meet, which is the solution of differential equations of different dimensional by presenting a new structure to n-dimensional for the Extended cubic B-spline collocation algorithm. The Extended cubic B-spline collocation forms are displayed in one, two and three dimensional. These constructs are of prime importance in solving mathematical models that have applications in various sciences. The efficiency and accuracy of these algorithms through a few test problems in two and three dimensional. Also, comparing our solutions and with the results obtained by using other numerical methods …
Deriving Higher Order Rogue Waves Solutions In The Nonlinear System Using A Symbolic Computation Approach, H. Sapoor, Hilal M. Y. Al-Bayatti
Deriving Higher Order Rogue Waves Solutions In The Nonlinear System Using A Symbolic Computation Approach, H. Sapoor, Hilal M. Y. Al-Bayatti
Applied Mathematics & Information Sciences
In this paper, we consider a novel multiple rogue wave solutions of a (3 +1)-dimensional Kudryashov-Sinelshchikov equation by using a symbolic computation approach.Some higher order rogue wave solutions of a (3 +1)-dimensional Kudryashov- Sinelshchikov equation are presented. Some properties of the multi-rogue waves and their collision structures are given through numerical examples. Finally, some expected applications and extension have been mentioned.