Towards sustainable e-learning platforms in the context of cybersecurity: A TAM-driven approach

The rapid growth of electronic learning (e-learning) platforms has raised concerns about cybersecurity risks. The vulnerability of university students to cyberattacks and privacy concerns within e-learning platforms presents a pressing issue. Students’ frequent and intense internet presence, coupled with their extensive computer usage, puts them at higher risk of being a potential victim of cyberattacks. This problem necessitates a deeper understanding in order to enhance cybersecurity measures and safeguard students’ privacy and intellectual property in educational environments. This dissertation work addresses the following research questions: (a) To what extent do cybersecurity perspectives affect student’s intention to use e-learning platforms? (b) To what extent do students’ privacy concerns affect their intention to use e-learning platforms? (c) To what extent does students’ cybersecurity awareness affect their intention to use e-learning platforms? (d) To what extent do academic integrity concerns affect their intention to use e-learning platforms? and (e) To what extent does students’ computer self-efficacy affect their intention to use e-learning platforms? This study was conducted using an enhanced version of the technology acceptance model (TAM3) to examine the factors influencing students’ intention to use e-learning platforms. The study involved undergraduate and graduate students at Eastern Michigan University, and data were collected through a web-based questionnaire. The questionnaire was developed using the Qualtrics tool and included validated measures and scales with close-ended questions. The collected data were analyzed using SPSS 28, and the significance level for hypothesis testing was set at 0.05. Out of 6,800 distributed surveys, 590 responses were received, and after data cleaning, 582 responses were included in the final sample. The findings revealed that cybersecurity perspectives, cybersecurity awareness, academic integrity concerns, and computer self-efficacy significantly influenced students’ intention to use e-learning platforms. The study has implications for practitioners, educators, and researchers involved in designing secure e-learning platforms, emphasizing the importance of cybersecurity and recommending effective cybersecurity training programs to enhance user engagement. Overall, the study highlights the role of cybersecurity in promoting the adoption and usage of e-learning platforms, providing valuable insights for developers and educators to create secure e-learning environments and benefiting stakeholders in the e-learning industry

Applying Differential Transform Method to Nonlinear Partial Differential Equations: A Modified Approach

This paper proposes another use of the Differential transform method (DTM) in obtaining approximate solutions to nonlinear partial differential equations (PDEs). The idea here is that a PDE can be converted to an ordinary differential equation (ODE) upon using a wave variable, then applying the DTM to the resulting ODE. Three equations, namely, Benjamin-Bona-Mahony (BBM), Cahn-Hilliard equation and Gardner equation are considered in this study. The proposed method reduces the size of the numerical computations and use less rules than the usual DTM method used for multi-dimensional PDEs. The results show that this new approach gives very accurate solutions

Reliable Study of Nonhomogeneous BBM Equation with Time-Dependent Coefficients by the Modified Sine-Cosine Method

The modified sine-cosine method is an efficient and powerful mathematical tool in finding exact traveling wave solutions to nonlinear partial differential equations (NLPDEs) with time-dependent coefficients. In this paper, the proposed approach is applied to study a nonhomogeneous generalized form of Benjamin-Bona-Mahony (BBM) equation with time-dependent coefficients. Explicit traveling wave solutions of the equation are obtained under certain constraints on the coefficient functions

Algorithms to Solve Singularly Perturbed Volterra Integral Equations

In this paper, we apply the Differential Transform Method (DTM) and Variational Iterative Method (VIM) to develop algorithms for solving singularly perturbed volterra integral equations (SPVIEs). The study outlines the significant features of the two methods. A comparison between the two methods for the solution of SPVIs is given for three examples. The results show that both methods are very efficient, convenient and applicable to a large class of problems

Variational Iteration Method For Solving Two-Parameter Singularly Perturbed Two Point Boundary Value Problem

In this paper, He’s Variational iteration method (VIM) is used for the solution of singularly perturbed two-point boundary value problems with two small parameters multiplying the derivatives. Some problems are solved to demonstrate the applicability of the method. This paper suggests a patern for choosing the freely selected initial approximation in the VIM that leads to a very well approximation by only one iteration

Approximations of Sturm-Liouville Eigenvalues Using Sinc-Galerkin and Differential Transform Methods

In this paper, we present a comparative study of Sinc-Galerkin method and differential transform method to solve Sturm-Liouville eigenvalue problem. As an application, a comparison between the two methods for various celebrated Sturm-Liouville problems are analyzed for their eigenvalues and solutions. The study outlines the significant features of the two methods. The results show that these methods are very efficient, and can be applied to a large class of problems. The comparison of the methods shows that although the numerical results of these methods are the same, differential transform method is much easier, and more efficient than the Sinc-Galerkin method

New Explicit Solutions for Homogeneous Kdv Equations of Third Order by Trigonometric and Hyperbolic Function Methods

In this paper, we study two-component evolutionary systems of the homogeneous KdV equation of the third order types (I) and (II). Trigonometric and hyperbolic function methods such as the sine-cosine method, the rational sine-cosine method, the rational sinh-cosh method, sech-csch method and rational tanh-coth method are used for analytical treatment of these systems. These methods, have the advantage of reducing the nonlinear problem to a system of algebraic equations that can be solved by computerized packages

New Soliton Solutions for Systems of Nonlinear Evolution Equations by the Rational Sine-Cosine Method

In this paper, we construct new solitary solutions to nonlinear PDEs by the rational Sine and Cosine method. Moreover, the periodic solutions and bell-shaped solitons solutions to the Benjamin-Bona-Mahony and the Gardner equations are obtained. New solutions to Broer-Kaup (BK) system are also obtained. Finally, the solution of a two-component evolutionary system of a homogeneous Kdv equations of order  has been investigated by the proposed method

A weakly nonlinear Ion-acoustic waves in magnetized electron-positron plasma: a fractional model

In this paper, we investigate the optical soliton solutions for a fractional weakly nonlinear ion-acoustic wave in a magnetized electron–positron plasma using the fractional modified Korteweg–deVries–Zakharov–Kuznetsov (f-mKdV-ZK) model. The fractional calculus framework is employed to describe the non-local effects arising from the long-range interactions and memory effects in the plasma medium. The presence of a magnetic field introduces additional complexities to the dynamics of ion-acoustic waves in electron–positron plasmas. We derive the governing equations for the f-mKdV-ZK model and employ the reductive perturbation method to obtain the corresponding optical soliton solutions. The obtained soliton solutions reveal the influence of fractional order, weak nonlinearity, and magnetic field on the characteristics of the ion-acoustic waves. The results demonstrate the formation and propagation of stable optical solitons in the magnetized electron–positron plasma and provide insights into the fundamental behavior of such systems. This study contributes to the understanding of nonlinear wave dynamics in fractional plasmas and offers potential applications in various plasma physics and astrophysical scenarios

Occluded iris classification and segmentation using self-customized artificial intelligence models and iterative randomized Hough transform

A fast and accurate iris recognition system is presented for noisy iris images, mainly the noises due to eye occlusion and from specular reflection. The proposed recognition system will adopt a self-customized support vector machine (SVM) and convolution neural network (CNN) classification models, where the models are built according to the iris texture GLCM and automated deep features datasets that are extracted exclusively from each subject individually. The image processing techniques used were optimized, whether the processing of iris region segmentation using iterative randomized Hough transform (IRHT), or the processing of the classification, where few significant features are considered, based on singular value decomposition (SVD) analysis, for testing the moving window matrix class if it is iris or non-iris. The iris segments matching techniques are optimized by extracting, first, the largest parallel-axis rectangle inscribed in the classified occluded-iris binary image, where its corresponding iris region is crosscorrelated with the same subject’s iris reference image for obtaining the most correlated iris segments in the two eye images. Finally, calculating the iriscode Hamming distance of the two most correlated segments to identify the subject’s unique iris pattern with high accuracy, security, and reliability