International Journal of Analysis and Applications

Restarted Shooting Method Applied to Jeffery-Hamel Flow Problem

Nawal Alzaid, Kholoud Alzahrani, Huda Bakodah — Mon, 20 Jan 2025 00:00:00 +0800

In the current manuscript, an efficient numerical method based on coupling the restarted decomposition method and the shooting method has been implemented to tackle the nonlinear differential equation that describes blood flow in human arteries. A complete outline of the coupled method has been provided and further utilized on the generalized Jeffery-Hamel blood flow problem. In addition, the acquired computational results are contrasted with the numerical results of other computational approaches. Lastly, the efficacy of the devised numerical method is confirmed by the maximum error remainder and is reported through comparison tables and figures.

Estimation of Parameters of Lomax Exponential Distribution

Nayabuddin — Mon, 20 Jan 2025 00:00:00 +0800

The concept of p-th upper record value was introduced by Dziubdziela and Kopocinski [5]. Estimation of the location and scale parameters of the Lomax exponential (LE) distribution are obtained based on generalized record values. The best linear unbiased methods of estimation are used for this purposes.

Central Limit Theorem for Markov Chains with Variable Memory via the Chen-Stein Method

Victorien Konané, Claude Yaméogo, Wahabo Baguian — Mon, 20 Jan 2025 00:00:00 +0800

In this paper, we studied Markov chains of variable length and the convergence of persistent walk.We, also, looked at the rate of convergence of such process. We also provide the use of variable-memory stochastic chains in risk models.

Almost Nearly (τ1, τ2)-Continuous Functions

Butsakorn Kong-ied, Areeyuth Sama-Ae, Chawalit Boonpok — Mon, 20 Jan 2025 00:00:00 +0800

This paper presents a new class of functions called almost nearly (τ₁, τ₂)-continuous functions. Furthermore, several characterizations and some properties concerning almost nearly (τ1, τ2)-continuous functions are discussed.

Chaos, Fractals and Bifurcation in Real Dynamics of Two-Parameter Family Associated to Logarithmic Functions

Shaurya Pratap Singh, Mohammad Sajid — Tue, 14 Jan 2025 00:00:00 +0800

The purpose of this article is to provide bifurcation diagrams and observe chaotic behaviour in the real dynamics of two-parameter family of function \(\Phi(x)=x+(1-\lambda x)\ln(ax): x>0, \lambda>0, a>0\). We consider here parameter a is a positive and continuous real parameter while λ is positive but a discrete real parameter. The dynamical properties of this nonlinear system family analyze numerically as well as graphically by using fixed point iterative method. Bifurcation diagrams for the real dynamics of the function are plotted by varying the values of the parameter which are fractals in nature. Also, we show that chaos exists in the dynamics of the function by looking at period-doubling in the bifurcation diagram. Further, chaotic behaviour studies by simulation of the positive Lyapunov exponents which observe by varying the parameters similar to the bifurcation diagrams.

Mathematical Modeling and Numerical Simulation of Drug Consumption Dynamics in Burkina Faso

Tue, 14 Jan 2025 00:00:00 +0800

In this paper a mathematical model of drug consumption dynamics is proposed and analyzed. The model is based on the principle of the epidemiological model and takes into account the biological and environmental factors of exposed individuals, treatment and sensitization. The Jacobian determinant method is used to determine the basic reproduction function R₀ of the model. The drug-free equilibrium points and the endemic equilibrium of the model were then identified, and their stabilities were analyzed based on the value of R₀. A sensitivity analysis was performed to assess which parameters have the greatest influence on the dynamics of drug consumption. The numerical simulation was carried out using data from the Burkinabe population in 2020, aged between 11 and 65 years. The numerical results show that sensitization and treatment do not have much effect if the individual evolves in a favorable environment.

Positive Implicative Hyper BCK-Ideals of Hyper BCK-Algebras Under an Interval-Valued Intuitionistic Fuzzy Environment

D. Ramesh, R. Durga Prasad, Sheke Baji, Aiyared Iampan, B. Satyanarayana — Tue, 14 Jan 2025 00:00:00 +0800

This paper contains some new theorems related to hyper BCK-ideals positive implicative hyper BCK-ideals of types-1, 2, 3, 4 of hyper BCK-algebras (HBCKA) under an interval-valued intuitionistic fuzzy environment. Henceforth, the connection between these ideas and their relevant characteristics is discussed.

Another Updated Parameter for the Hestenes-Stiefel Conjugate Gradient Method

Osman Omer Osman Yousif, Raouf Ziadi, Mohammed A. Saleh, Abdulgader Z. Almaymuni — Tue, 14 Jan 2025 00:00:00 +0800

The conjugate gradient (CG) methods are considered as one of the most popular methods for solving linear and non-linear unconstrained optimization problems, especially the problems of large-scale, that is because they are characterized by low memory requirements and strong local and global convergence properties. The method of Hestenes-Stiefel (HS) usually gives good numerical results in the practical computation. However, theoretically, its convergence properties are uncertain. To address the convergence failure of HS method, many choices for its update parameter have been proposed such as the choice of Gilbert and Nocedal in 1992, of Hager and Zhang in 2005, and of Yousif et al. in 2022. In this paper, motivated by these updated parameters, we propose another updated parameter for HS, and hence another CG method which inherits all the convergence properties of Gilbert and Nocedal, Hager and Zhang, and of Yousif et al. and has better numerical results. To show the efficiency and robustness of the new modified method in practice, a numerical experiment was done.

Complex Fuzzy Dynamical Graphs and their Applications in Signals Processing

Saima Anis, Madad Khan, Muhammad Mazhar, Muhammad Naveed, Kostaq Hila — Tue, 14 Jan 2025 00:00:00 +0800

In this paper we introduce the concepts of complex fuzzy dynamic graphs, complex fuzzy diagonal matrices and complex fuzzy Laplacian matrices. We use these graphs and their laplacian matrices as mathematical framework for applications in Sciences, especially signals processing. We define absolute average eigenvalues of the Complex Laplacian matrices and explore the properties of these matrices with their eigenvalues. We develop an algorithm using the absolute eigenvalues of the Laplacian matrices and apply this algorithm to signal and systems. Our study begins by establishing the theoretical foundation of complex fuzzy dynamic graphs, highlighting their role to model within dynamic systems including two dimensional uncertainties. We investigates the complex fuzzy Laplacian matrices obtain from these graphs. Our main focus is on the absolute eigenvalues of these matrices, which hold a vital role into the graph’s structural characteristics and behavior. In the context of signals processing, the research demonstrates how these absolute eigenvalues serve as essential matrices for system characterization. This study presents novel methods to analyze signals on complex fuzzy dynamic graphs. These methods are particularly relevant in scenarios where signals are influenced by dynamic and uncertain environments.

Determinants of Digital Payment Intensity in the MENA Region: A Panel Data Analysis

Mary Benitta Rani, Mark P. Doblas, Stephen Chellakan, Randolf Von N. Salindo — Thu, 02 Jan 2025 00:00:00 +0800

The rise of digital payments, particularly during the 2020 lockdown, underscores the growing significance of fintech, valued at over USD 127 billion globally. However, studies on factors influencing digital payment utilization remain limited. This study analyzes determinants of digital payment intensity in the MENA region, using data from 13 countries (2011-2021) sourced from the World Bank. Panel data analysis revealed that the percentage of accounts and deposits in financial institutions positively impacts digital payments, while household savings negatively influence them. Conversely, digital payments received are positively affected by accounts, deposits, retirement savings, and borrowing levels, but negatively influenced by household savings and entrepreneurial savings. The study concluded that the factors affecting digital payments received are both cross-sectional and time-fixed, while those affecting payments made are random.

The Coeffisients of the Spline Minimizing Semi Norm in K2(P3)

A.R. Hayotov, F.A. Nuraliev, G.Sh. Abdullaeva — Thu, 02 Jan 2025 00:00:00 +0800

Our goal is to construct an approximation of the unknown function f by Sobolev’s method, we construct an approximation form of unknown function by interpolation splines minimizing the semi norm in K2(P3) Hilbert space. Explicit formulas for coefficients of the interpolation splines are obtained. The resulting interpolation spline is exact for the hyperbolic functions and constant. In the last section, we obtain several absolute errors graph in interpolating functions with the sixth order algebraic-hyperbolic spline, and we compare absolute errors of cubic spline and algebraic-hyperbolic in interpolating several functions. Numerical results show that the sixth-order spline interpolates the functions with higher accuracy than the cubic spline.

Remarks on Cauchy-Riemann Structure

Mohit Saxena, Manisha M. Kankarej, Mohammad Nazrul Islam Khan — Thu, 02 Jan 2025 00:00:00 +0800

The present paper deals with Cauchy-Riemann structure (CR structure) satisfying relation \(F^{2\nu+3}+\lambda^rF^2=0\). Certain results with CR structure on distributions, mathematical operators, integrabitity condtions satisfying the above structure are established.

Bipolar Fuzzy Quasi-Ideals in Γ-Semirings: A Study

Madhulatha Parvatham, Yella Bhargavi, Aiyared Iampan — Thu, 02 Jan 2025 00:00:00 +0800

This paper investigates bipolar fuzzy quasi-ideals in the context of Γ-semirings, offering new insights into their structural properties. Our results reveal that bipolar fuzzy quasi-ideals serve as a generalization of bipolar fuzzy ideals, while bipolar fuzzy bi-ideals extend this framework further. We also establish that in regular Γ-semirings, the two concepts coincide, leading to a unified interpretation. Notably, the intersection of a bipolar fuzzy right ideal and a bipolar fuzzy left ideal forms a bipolar fuzzy quasi-ideal, highlighting key properties that deepen our understanding of ideal structures in Γ-semirings.

The Interaction Model of Digitalization and Financial Inclusion: A Bayesian Analysis of Its Role in Economic Growth

Ngoc Toan Bui — Thu, 02 Jan 2025 00:00:00 +0800

This study aims to analyze the impact of digitalization and financial inclusion on economic growth in the ASEAN-6 countries, with a particular highlight on the interaction between these two factors. This research topic is compelling, as most previous studies have examined the individual effect of either digitalization or financial inclusion on economic growth, lacking empirical evidence on their interactive impact. The author utilizes a Bayesian approach to estimate the research model, providing a clearer understanding of the extent and probability of each variable's effect. The findings reveal that economic growth in the ASEAN-6 countries is positively influenced not only by digitalization and financial inclusion individually but also by their significant interaction. Additionally, economic growth is notably affected by population growth and inflation. These findings offer a reliable foundation for the ASEAN-6 countries to identify appropriate policies that foster digitalization coupled with financial inclusion, thereby promoting economic growth.

Behavioral Intentions in Cashless: The Role of Green Finance Perception in the Vietnamese Market

Ninh Van Nguyen, Thi Lan Phuong Dang, Nguyen Thanh Phuong — Thu, 02 Jan 2025 00:00:00 +0800

The present research investigates consumers' behavioral intention towards cashless modes of payment in Vietnam with mediating factors such as green finance perception. Based on the theory of planned behavior and perceived benefits the study seeks to compare functional, economic, psychological and social benefits as factors influencing attitude, self-control beliefs and subjective norms, towards acceptance of cashless systems. The present study engaged a survey of 355 respondents and offered a measurement model and analysis results of the relation between the variables following the partial least squares-structural equation modeling (PLS-SEM). The findings indicate that attitude and behavioral control are the predictors of intention with significant influence, while green finance moderates the relationship between attitude and subjective norms to intention, but not behavioral control. Such findings suggest that publicizing the utilitarian and environmental advantages of cashless payment should be pursued. Finally, the study recommends that there should be specific marketing promotion to ensure that more people embrace green finance with the investigations being extended across people of different categories to increase efficiency.

Innovation, Entrepreneurship, and Economic Growth: The Moderating Role of Corruption

Suchart Tripopsakul, Wilert Puriwat — Thu, 02 Jan 2025 00:00:00 +0800

This study examines the relationships among a nation's innovation capability, entrepreneurship, and economic growth and investigates the corruption level's impact on those relationships. Based on 2022 data of 44 counties from the Global Innovation Index (GII), Gross domestic product (GDP), Total early-stage entrepreneurial activity (TEA), and the Corruption Perceptions Index (CPI), obtained from the World Intellectual Property Organization, World Bank, Global Entrepreneurship Monitor, and Transparency International, a multiple regression analysis was used to examine the causal relationship between innovation capability, entrepreneurial climate, and economic growth. The results showed that a nation's innovation capacity significantly positively affects the growth of economies. On the one hand, the result found that entrepreneurship is negatively associated with economic growth. This can imply that a significant portion of entrepreneurship in the analyzed countries may be necessity-driven rather than opportunity-driven. Additionally, the study found that corruption moderates the relationship between a nation's innovation capacity and economic growth, such that higher levels of corruption weaken the positive impact of innovation capacity toward economic growth but are not found to significantly moderate the relationship between entrepreneurship and the growth of nation economies. These findings emphasize the significance of addressing corruption to exploit the advantages of innovation capacity for economic growth. Policymakers should focus on improving the entrepreneurial ecosystem to promote opportunity-driven ventures that foster innovation and contribute to long-term economic development. This work is among the few to discover nationally the compound interplay between innovation, entrepreneurship, and corruption. It offers useful insights for policymakers who seek to promote economic growth by improving governance and creating a favorable climate for entrepreneurs.

Difference Cesáro Function Space on Rooted Tree Defined by Musielak-Orlicz Function

Thu, 02 Jan 2025 00:00:00 +0800

This paper aims to investigate the algebraic and topological properties of a newly constructed difference function space on a rooted tree defined by Musielak-Orlicz function.