Indexing

Abstract: Urban roundabouts are safer than signalised junctions yet remain prone to congestion under unbalanced demand and operational incidents. Existing microscopic and macroscopic approaches rarely capture, within a single framework, the tightly coupled evolution of traffic velocity and density needed for robust design and control. We address this gap with a coupled Navier–Stokes and Advection–Diffusion (NS–AD) model on an annular domain, adopting a barotropic closure p=aρ  and a conservative incident force kobsr/∥r∥ . Convection is discretised with a QUICK/TVD flux (MUSCL with a van–Leer limiter), while diffusion, sources and viscosity are advanced by a semi-implicit Crank–Nicolson step, enabling high-resolution fronts without spurious oscillations over long horizons. Simulations reproduce two robust signatures: a persistent annular congestion ridge in density coincident with the circulating ring, and a co-located speed amplification that exhibits an upstream/downstream braking/acceleration asymmetry governed by -a∇lnρ . Probe histories display a negative (|v|,ρ)  phase slope during the transient, and a quasi-1D azimuthal reduction explains the observed structures and yields a falsifiable ridge-thickness law δ∼D/u . Difference maps between incident and baseline scenarios isolate the causal footprint of the incident as outward mass migration to the ring and momentum gain along preferred circumferential paths. We conclude that a composite potential alnρ+Φ  succinctly explains outward push, pressure support and viscous/diffusive regulation, while the numerical pairing QUICK + TVD with Crank–Nicolson provides a stable, accurate basis for design studies. For policy and practice, the results support rapid incident clearance near the central island, targeted entry metering on feeder approaches, and low-cost geometric/control provisions, such as short bypasses and advisory speeds, that reduce the effective barrier alnρ  and add diffusion pathways. Future work should calibrate (a,D,ν,S(θ),kobs)  against field data using ridge width, phase slope, relaxation time and entry/exit counts, extend to multi-lane and multi-class settings, assimilate real-time data for model-predictive control, and couple to emissions and safety surrogates to assess broader impacts.

Keywords: Advection–diffusion of density; Crank–Nicolson time integration; Incident (stalled-vehicle) modelling; Navier–Stokes traffic modelling; QUICK/TVD convective scheme; Roundabout congestion.

Title: Traffic Flow Modelling Around Roundabouts Using Navier–Stokes and Advection–Diffusion Equations

Author: Momanyi Mogire Krifix, Shichikha Maremwa, Kandie Joseph, Lucy Jerop Ngetich

International Journal of Recent Research in Mathematics Computer Science and Information Technology

ISSN 2350-1022

Vol. 12, Issue 1, April 2025 - September 2025

Page No: 104-115

Paper Publications

Website: www.paperpublications.org

Published Date: 29-September-2025

Abstract: Carotid artery injuries during accidents are a significant contributor to trauma-related morbidity and mortality, necessitating accurate models for predicting vascular stress and flow disruption. Existing approaches either oversimplify flow and underestimate wall shear stress, neglect trauma-induced geometric interruptions, or require computationally intensive methods unsuitable for emergency use. To address these limitations, this study develops a hybrid Poiseuille–Womersley model that integrates distributed and localized pressure loss terms, a geometric penalty factor for lumen constriction, and pulsatile corrections to capture transient flow dynamics. Analytical derivations supported by simulation reveal that accident-induced reductions in carotid lumen diameter cause disproportionate declines in volumetric flow rate, sharp decreases in wall shear stress, and alterations in velocity fields that cannot be captured by steady-state assumptions. The model thus extends classical hemodynamic formulations to accident scenarios, providing an efficient yet physiologically consistent framework. These results confirm geometry as a primary driver of vascular stress under trauma conditions. The study concludes that lightweight analytical models can complement diagnostic and emergency care tools, offering rapid assessment capability. Policy makers and clinicians are encouraged to incorporate such trauma-informed hemodynamic tools into stroke prevention and emergency response strategies, while future work should focus on clinical validation, patient-specific adaptation, and integration with real-time Doppler imaging.

Keywords: Carotid artery, Poiseuille flow, Womersley function, Vascular stress, Geometric interruption, Wall shear stress.

Title: A Novel Poiseuille-Based Mathematical Model for Carotid Artery Blood Flow: Modelling Geometry Interruptions and Vascular Stress during Accidents

Author: Lucy Jerop Ngetich, Shichikha Maremwa, Kandie Joseph, Momanyi Mogire Krifix

International Journal of Recent Research in Mathematics Computer Science and Information Technology

ISSN 2350-1022

Vol. 12, Issue 1, April 2025 - September 2025

Page No: 91-103

Paper Publications

Website: www.paperpublications.org

Published Date: 25-September-2025

Abstract: Cardiovascular diseases remain the leading global cause of death, with carotid artery dysfunction contributing significantly to ischemic stroke and long-term disability. The problem addressed in this study is the limited availability of mathematical models that can capture pulsatile blood flow dynamics under accident-induced geometric interruptions, while remaining computationally efficient. To address this gap, the study developed a novel Poiseuille-based framework, incorporating finite volume methods, Gauss–Legendre quadrature, and mesh discretization to model pulsatile flow in the carotid artery. Simulation results demonstrated that flow rate Q decreases with increasing arterial radius under turbulent conditions, contrary to laminar Poiseuille predictions, due to enhanced vascular stress and backflow. Furthermore, the model confirmed that velocity positively correlates with flow rate, consistent with fluid mechanics principles. These findings emphasize the influence of arterial geometry and turbulence on flow dynamics, aligning with prior studies on stenosis and bifurcations. In conclusion, the research provides a tractable, physiologically relevant model that bridges simplified Poiseuille theory with complex hemodynamic realities. Policy recommendations include supporting the integration of mathematical modeling into stroke risk screening and accident-related diagnostics, while future studies should validate the model with patient-specific imaging and extend it to non-Newtonian blood properties.

Keywords: Pulsatile blood flow; Poiseuille equation; Carotid artery modelling; Finite volume method; Hemodynamic prediction.

Title: Novel Mathematical Modelling of Pulsatile Blood Flow in Carotid Arteries via Poiseuille Equation

Author: Lucy Jerop Ngetich, Shichikha Maremwa, Kandie Joseph, Momanyi Mogire Krifix

International Journal of Recent Research in Mathematics Computer Science and Information Technology

ISSN 2350-1022

Vol. 12, Issue 1, April 2025 - September 2025

Page No: 81-90

Paper Publications

Website: www.paperpublications.org

Published Date: 25-September-2025

Abstract: This study focuses on analysis and evaluation of mathematical properties of 2D shallow water equations tailored to the Budalang’i floodplain. By applying the Froude number, the study identifies that supercritical flows are prevalent in the area. The model, derived from the 3D Navier-Stokes equations with the addition of a sink term, effectively captures the dynamics of the floodplain, highlighting the importance of this modification for accurate boundary condition representation. The study employed a finite difference scheme to solve the 2D shallow water equations. The results demonstrate that incorporating a sink term significantly improves the model’s performance by achieving steady-state velocity, reducing high-frequency oscillations and turbulence, and mitigating over-bank flows. Although the Coriolis term was considered, it had a negligible impact on the flow state, underscoring that the sink term is the critical factor in enhancing flood control and providing valuable insights for flood management strategies.

Keywords: sink, Coriolis, Flood.

Title: ANALYSIS OF A 2D SHALLOW WATER MATHEMATICAL FLOOD WAVE MODEL OF BUDALANG’I

Author: Stephen Musindayi Miheso, Opiyo Richard

International Journal of Recent Research in Mathematics Computer Science and Information Technology

ISSN 2350-1022

Vol. 12, Issue 1, April 2025 - September 2025

Page No: 73-80

Paper Publications

Website: www.paperpublications.org

Published Date: 25-June-2025

Abstract: The Petrol Purification Identifier (PPI) project aims to develop a system or device that can detect and identify contaminants within petrol, ensuring that the fuel meets required standards for use in engines and other mechanical applications. With the increasing demand for quality control in the fuel industry, the PPI system will allow for fast, accurate identification of impurities such as water, sulfur, and particulate matter in petrol, thereby contributing to the optimization of fuel quality and improving engine performance.

Keywords: Petrol Purification Identifier (PPI), fuel industry, fuel quality mechanical applications.

Title: Petrol Purification Identifier

Author: Vaishnavi Swami, Rutuja Kulkarni, Archana Kamble, Prerana Thorat, Prof. S.S. Kale

International Journal of Recent Research in Mathematics Computer Science and Information Technology

ISSN 2350-1022

Vol. 12, Issue 1, April 2025 - September 2025

Page No: 67-72

Paper Publications

Website: www.paperpublications.org

Published Date: 23-June-2025

Abstract: We made the Campus Entrance Vehicle Control System to improve the safety at the main gate of our college. Sometimes vehicles enter the campus without permission, and that can be a security problem. So, we developed a mobile app that uses OCR (Optical Character Recognition) to scan the number plates of vehicles. When a vehicle arrives at the gate, the security person can scan its number plate using the app. If the number is already saved in the college's database, it means the vehicle is authorized and is allowed to enter. But if the number is not found, then it is treated as a guest vehicle, and its details are saved in the system as a guest entry. Our app also includes a login page for admin, a dashboard to manage and view reports, and sections to see:

• Authorized users
• Vehicle entry/exit records
• Guest visit records

This system helps avoid manual writing, saves time, and makes the process faster and more secure. It also keeps proper records of all vehicles, which helps the college maintain safety and manage entries more transparently.

Keywords: Campus Entrance Vehicle Control System, OCR (Optical Character Recognition), number plates, security problem.

Title: Campus Entrance Vehicle Control System

Author: Bagal Rameshwari, Marabe Bhimabai, Jagtap Sayali, Prof.S.S.kale, Prof. J.M.Shaikh

International Journal of Recent Research in Mathematics Computer Science and Information Technology

ISSN 2350-1022

Vol. 12, Issue 1, April 2025 - September 2025

Page No: 57-66

Paper Publications

Website: www.paperpublications.org

Published Date: 18-June-2025

Abstract: “Online Hostel Management System” is software developed for managing various activities in the hostel. For the past few years the number of educational institutions is increasing rapidly. Thereby the number of hostels is also increasing for the accommodation of the students studying in this institution. And hence there is a lot of strain on the person who are running the hostel and software’s are not usually used in this context. This particular project deals with the problems on managing a hostel and avoids the problems which occur when carried manually. Identification of the drawbacks of the existing system leads to the designing of computerized system that will be compatible to the existing system with the system which is more user friendly and more website oriented. We can improve the efficiency of the system, thus overcome the drawbacks of the existing system.

Keywords: Online Hostel Management, Web Application, Database Management.

Title: Hostel Management System

Author: Pawar Ankita, Ukarande Vaishnavi, Kale Shubham, Kshirsagar Pratik, Prof.S.G.Ekdante, Prof.J.M.Shaikh

International Journal of Recent Research in Mathematics Computer Science and Information Technology

ISSN 2350-1022

Vol. 12, Issue 1, April 2025 - September 2025

Page No: 47-56

Paper Publications

Website: www.paperpublications.org

Published Date: 15-June-2025

Abstract: Artificial intelligence (AI) is increasingly being used in several parts of life. Artificial intelligence (AI) is when computers or machines are created to think and act like humans. With its data-driven insights, predictive analytics, and automation capabilities, artificial intelligence has changed company strategic decision-making. The latest trend is AI processors and smartphone apps. However, technology extends back to the 1950s, when the Dartmouth Summer Research Project on Artificial Intelligence was established at Dartmouth College in the United States. The beginnings may be traced back to Alan Turing, who created the famous Turing test, Allen Newell, and Herbert A. Simon. In 1996, IBM's Deep Blue chess computer defeated Garry Kasparov, catapulting artificial intelligence to global prominence. This study looks at the history of AI and how AI influences strategic decision-making processes in businesses, since AI-powered solutions may reduce costs and uncertainty, increase efficiency, and provide a competitive edge. Also, this study identifies critical elements that drive AI adoption using case study analysis and empirical data from diverse sectors, including data accessibility, business culture, and regulatory compliance. The findings show that, while artificial intelligence significantly enhances both the speed and precision of decision-making, its usefulness requires balance, knowledge, and ethical governance. This study adds to the ongoing conversation about employing AI to guide strategy and make decisions, which is critical for practice advancement and beneficial to both business executives and lawmakers.

Keywords: Artificial Intelligence, AI Adoption, Business Intelligence, Corporate Strategy, Organizational Performance, Predictive Analytics, Strategic Decision-Making.

Title: The Impact of Artificial Intelligence on Strategic Decision-Making in Corporations

Author: M. MONEER SHAGHASY, AKIN MARŞAP

International Journal of Recent Research in Mathematics Computer Science and Information Technology

ISSN 2350-1022

Vol. 12, Issue 1, April 2025 - September 2025

Page No: 33-46

Paper Publications

Website: www.paperpublications.org

Published Date: 12-June-2025

Abstract: This project is aimed at developing a Repository and each Engine for alumni of the college, which is of importance to a college. The Alumni Information Database is a Web application that can be accessed throughout and students can connect to the alumni of the college. The Alumni Management System is a comprehensive software solution designed to streamline and enhance the management of an institution's alumni network. This system leverages modern technology to create a seamless platform for alumni engagement, communication, and data management. It serves as a bridge between the institution and its graduates, fostering a sense of community and facilitating meaningful interactions. Alumni Directory: The system maintains a centralized database of alumni roles, containing information such as contact details, educational history, career achievements, and personal interests. Event Updates: Alumni can be notified of upcoming reunions, networking events, and seminars in the news section. Event details, including date, time, and location, are easily accessible.

Keywords: A digital platform to organize, manage, and streamline alumni events and communications.

Title: EmergenEase: An Interactive Healthcare Platform

Author: Rumsha Waqia Wania, Pritam Nandi, Md Faraz Hashmi, Sanket Prasad, Lumbini Bhaumik

International Journal of Recent Research in Mathematics Computer Science and Information Technology

ISSN 2350-1022

Vol. 12, Issue 1, April 2025 - September 2025

Page No: 24-32

Paper Publications

Website: www.paperpublications.org

Published Date: 7-June-2025

Abstract: This project is aimed at developing a Repository and each Engine for alumni of the college, which is of importance to a college. The Alumni Information Database is a Web application that can be accessed throughout and students can connect to the alumni of the college. The Alumni Management System is a comprehensive software solution designed to streamline and enhance the management of an institution's alumni network. This system leverages modern technology to create a seamless platform for alumni engagement, communication, and data management. It serves as a bridge between the institution and its graduates, fostering a sense of community and facilitating meaningful interactions. Alumni Directory: The system maintains a centralized database of alumni roles, containing information such as contact details, educational history, career achievements, and personal interests. Event Updates: Alumni can be notified of upcoming reunions, networking events, and seminars in the news section. Event details, including date, time, and location, are easily accessible.

Keywords: A digital platform to organize, manage, and streamline alumni events and communications.

Title: Alumni Event Management System

Author: Gitanjali Tat, Gauri Raut, Gauri Barkul, Prof. D.J. Waghmare

International Journal of Recent Research in Mathematics Computer Science and Information Technology

ISSN 2350-1022

Vol. 12, Issue 1, April 2025 - September 2025

Page No: 17-23

Paper Publications

Website: www.paperpublications.org

Published Date: 28-May-2025

Abstract: This paper explores Kenya’s readiness for the inclusive adoption of Artificial Intelligence (AI) in its education system, given its ongoing digital transformation efforts underpinned by initiatives like the Digital Literacy Program (DLP). Despite notable strides in integrating ICT, significant challenges remain in achieving equitable AI implementation. These challenges include disparities in infrastructure between urban and rural areas, limited digital literacy among teachers and students, and accessibility issues for students with disabilities. AI’s potential to revolutionize personalized learning, address teacher shortages, and improve administrative efficiency offers promising solutions to Kenya's educational challenges. However, the uneven distribution of resources and inadequate teacher training impede the full utilization of AI technologies. A Systematic Literature Review (SLR) approach of 214 documents reviewed revealed that marginalized communities face disproportionate barriers. This review highlights the need for targeted investments in infrastructure, teacher professional development, and inclusive AI design. Recommendations include expanding digital infrastructure, fostering public-private partnerships, and developing policies that ensure AI tools are accessible to all students. By addressing these gaps, Kenya can leverage AI to enhance educational equity and improve outcomes for all learners.

Keywords: Artificial Intelligence, ICT Education, Inclusivity, Kenya, Digital Transformation.

Title: Incorporating AI in Kenya's ICT Education System: Are We Ready to Embrace this Change Inclusively? A Systematic Literature Review

Author: Dr. Salmon Oliech Owidi

International Journal of Recent Research in Mathematics Computer Science and Information Technology

ISSN 2350-1022

Vol. 12, Issue 1, April 2025 - September 2025

Page No: 1-16

Paper Publications

Website: www.paperpublications.org

Published Date: 01-April-2025