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Articles 9211 - 9240 of 293818
Full-Text Articles in Entire DC Network
A Harmonious Equation: How To Facilitate The Interdisciplinary Nature Of The Arts In A High School Math Classroom, Myah Medendorp
A Harmonious Equation: How To Facilitate The Interdisciplinary Nature Of The Arts In A High School Math Classroom, Myah Medendorp
Honors Theses
The education system is constantly evolving and advancing, and the teaching methods should advance along with it. Musical involvement has long been cited as having a positive effect on mathematical proficiency and being an easy way to boost mathematical performance but is most often used in an elementary school setting and the early learning years. Are there ways to use this scientific relationship to boost performance and engagement in a secondary school environment?
This literature review functionalization takes a closer look at this relationship and how it can be implemented effectively in a high school math classroom beyond the young …
Identifying Draft-Worthy Pitchers: A Statistical Analysis Of Northwoods League Performance Metrics, Stephen Tyrpak
Identifying Draft-Worthy Pitchers: A Statistical Analysis Of Northwoods League Performance Metrics, Stephen Tyrpak
Honors Theses
The Northwoods League (NWL) is a collegiate summer wooden-bat baseball league that provides college athletes with an opportunity to maintain and enhance their skills during the offseason while competing in game-like conditions. Although prior research has explored player performance in other summer leagues, such as the Cape Cod Baseball League, academic investigation into predictors of draft outcomes in the NWL remains limited. This study addresses this gap by evaluating whether pitch-tracking metrics collected via Trackman systems can predict a pitcher’s likelihood of selection in the Major League Baseball (MLB) draft and by identifying which performance characteristics are most strongly associated …
Explainable Ai For Liver Transplant Survival Prediction: Integrating Immunological Mismatch Features, Sourab Shaik
Explainable Ai For Liver Transplant Survival Prediction: Integrating Immunological Mismatch Features, Sourab Shaik
Honors Projects
Liver Transplantations are crucial treatment for end-stage liver disease. However, a persistent deficit of donor organs necessitates maximizing the utility of each available graft to minimize failure rates. We evaluated whether donor–recipient molecular immunogenicity metrics - Electrostatic and Hydrophobic Mismatch Scores (HMS/EMS) and eplet-based counts - improve post–liver-transplant survival prediction. The analytic cohort comprised adult, first time, single-organ deceased-donor transplants drawn from Scientific Registry of Transplant Recipients; follow-up was truncated at five years, and the endpoint was all-cause graft failure (earliest of graft failure or death; otherwise, censored). HLA variables were derived via high- resolution conversion and molecular mismatch computations …
The Artificial Intelligence (Ai) Economy In The Mountain West, 2025, Dre Boyd-Weatherly, Sean Curry, Krish Sharma, Kristian Thymianos, William E. Brown Jr.
The Artificial Intelligence (Ai) Economy In The Mountain West, 2025, Dre Boyd-Weatherly, Sean Curry, Krish Sharma, Kristian Thymianos, William E. Brown Jr.
Economic Development & Workforce
This fact sheet reports on the artificial intelligence (AI) readiness of five Mountain West metropolitan statistical areas (MSAs): Phoenix-Mesa-Chandler, AZ; Salt Lake City-Murray, UT; Denver-Aurora-Centennial, CO; Las Vegas-Henderson-North Las Vegas, NV; and Albuquerque, NM. Using data from the Brookings Institution's “Mapping the AI Economy” report, the MSAs are benchmarked based on their overall population, employment, talent, adoption, and innovation.
Unsaturated Fatty Acid Oil-Based Microdroplets: A Promising Novel Class Of Microdroplets, Ramiz S. Alejilat
Unsaturated Fatty Acid Oil-Based Microdroplets: A Promising Novel Class Of Microdroplets, Ramiz S. Alejilat
Seton Hall University Dissertations and Theses (ETDs)
Droplet-based microfluidics has rapidly advanced numerous fields, including chemistry, biology, materials science, medicine, food science, and cosmetics. In these systems, fluorocarbon oil combined with fluorinated surfactants is the preferred medium for fluid encapsulation, offering exceptional stability and biocompatibility essential for sensitive biological and chemical processes. However, growing concerns about the environmental and biological risks associated with fluorinated chemicals have prompted a search for alternatives.
This study is the first to explore the use of unsaturated fatty acids derived from emu oil for microdroplet formation. We characterized droplet formation based on flow rates and the presence non-fluorinated surfactant at a certain …
Developing Accessible Narrative-Based Stem Learning Software For K-6 Braille Display Users, Dylan Ravel, Daniel Tsivkovski, Brandon Foley, Maryam Etezad, Franceli Cibrian, Ariel Han, Rajeev Joshi
Developing Accessible Narrative-Based Stem Learning Software For K-6 Braille Display Users, Dylan Ravel, Daniel Tsivkovski, Brandon Foley, Maryam Etezad, Franceli Cibrian, Ariel Han, Rajeev Joshi
Student Scholar Symposium Abstracts and Posters
This research develops a free, accessible web application that enables K-6 students who are blind or visually impaired (BVI) to learn STEM concepts using refreshable braille displays. Currently, most online learning tools are not designed for BVI students, creating a significant educational barrier.
The application interfaces with commercial braille displays and uses narrative-based learning to make STEM content approachable and engaging. By presenting material as interactive stories, students can connect with concepts while developing braille reading skills. The curriculum design prioritizes accessibility through the Accessible Rich Internet Applications (ARIA) standards and screen reader support.
The goal is to provide BVI …
Computational Molecular Docking Of Fluorinated Morphine Derivatives For Improved Pain Management, Mirabella Romano, Emily Chen
Computational Molecular Docking Of Fluorinated Morphine Derivatives For Improved Pain Management, Mirabella Romano, Emily Chen
Student Scholar Symposium Abstracts and Posters
The opioid epidemic impacts 60 million people worldwide every year. Morphine, a commonly prescribed opioid, binds to the μ-opioid receptor (MOR) in the body via protonation of its tertiary amino group and the MOR. An unfortunate side effect of this binding process is its non-selectivity in both peripheral and central tissues. While activation within inflamed peripheral tissues results in pain relief, activation within central tissues results in the unwanted and addictive side effects of opioids. Because there is a discrepancy in pH between healthy (central) and inflamed (peripheral) tissue, selective binding within the inflamed tissues could provide pain relief without …
Understanding Daily Habits Affect On Mood: A Semester-Long Wellness Analysis, Alexis Caitlin Sweeney
Understanding Daily Habits Affect On Mood: A Semester-Long Wellness Analysis, Alexis Caitlin Sweeney
Student Scholar Symposium Abstracts and Posters
This research aims to track and assess lifestyle and personal health behaviors over a semester in order to gain a better understanding of how daily routines impact overall well-being. Ten variables are being monitored, including weight, caffeine intake, sleep duration, napping, exercise frequency, homework hours, Instagram screen time, vitamin use, practicing miles, and mood evaluations on a 5-point scale. I intend to identify trends and relationships between these factors through consistent data collection throughout the semester, such as the effects of sleep and caffeine on mood, motivation, and productivity.
As a student-athlete and health science major, this initiative gives me …
Bridging Machine Learning And Islamic Scholarship: A Study In Hadith Translation And Similarity Analysis, Asiyah R. Speight
Bridging Machine Learning And Islamic Scholarship: A Study In Hadith Translation And Similarity Analysis, Asiyah R. Speight
Student Scholar Symposium Abstracts and Posters
Translation of Islamic religious texts poses unique challenges requiring both linguistic and theological expertise. This study explores the application of neural machine translation (NMT) models to Arabic-English hadith translation while analyzing semantic similarity patterns across different human translations. Using the complete Sahih Bukhari corpus (7,550 hadiths) as the primary dataset, we adopt a dual approach combining transfer learning and comprehensive neural network analysis to demonstrate the critical impact of corpus size on model performance.
First, we fine-tune a pre-trained MarianMT Arabic-English translation model on the full Sahih Bukhari corpus, comparing models trained on 40 hadiths versus 7,550 hadiths. Performance is …
Decoding The Chameleon Game, Tri Dang '25, Hieu Tran, Brian T. Howard, Sutthirut Charoenphon, Dat Nguyen '25
Decoding The Chameleon Game, Tri Dang '25, Hieu Tran, Brian T. Howard, Sutthirut Charoenphon, Dat Nguyen '25
Student Research
The Chameleon game is a challenging word association activity where players are given a secret word and must respond with words relevant to that secret word. It requires strategic thinking and deduction. The Chameleon must cleverly guess the secret keyword in this game while avoiding suspicion. Our research aims to create an advanced artificial intelligence (AI) model that can play the Chameleon game from both perspectives: as the Chameleon and as a Human. This AI is designed to guess secret keywords based on the information provided by the players, choose the best strategies to avoid detection as the Chameleon, identify …
Efficient Routing For Software-Defined Wireless Sensor Networks: A Naïve Bayes Approach, Amine Tcherak, Samia Loucif, Mohamed Ould Khaoua
Efficient Routing For Software-Defined Wireless Sensor Networks: A Naïve Bayes Approach, Amine Tcherak, Samia Loucif, Mohamed Ould Khaoua
All Works
Wireless Sensor Networks (WSNs) form the backbone of Internet of Things (IoT) applications. Software-Defined Networking (SDN) is an emerging networking paradigm that extends the lifetime of WSNs by transferring the resource-intensive routing task from sensor nodes to a centralized controller. However, many SDN-based routing schemes for WSNs employ inefficient algorithms at the controller. Traditional shortest-path methods often create traffic imbalances across neighboring nodes, while Reinforcement Learning (RL)-based approaches typically generate excessive control traffic. Both issues accelerate energy depletion and reduce network lifetime. Moreover, existing algorithms frequently overlook critical factors, such as buffer occupancy, when selecting relay nodes, which can lead …
The Nature And Distribution Of Road Sediment Contaminants In The Greater Las Vegas, Nevada Area, K. J. Gokey, M. Gillis, Kenneth L. Brown, N. Renkes, C. L. Mcleod, M.P.S. Krekeler
The Nature And Distribution Of Road Sediment Contaminants In The Greater Las Vegas, Nevada Area, K. J. Gokey, M. Gillis, Kenneth L. Brown, N. Renkes, C. L. Mcleod, M.P.S. Krekeler
Geology and Environmental Geoscience Faculty Publications
Road sediment is an underutilized medium in the investigation of environmental pollution, yet it serves as both a source and sink for a wide array of pollutants. In urban areas especially, contaminants present within road sediment have the potential to pose human health risks depending on the abundance, chemical, and physical nature of these contaminants as well as the duration (i.e. acute or chronic) of exposure. Las Vegas, Nevada is currently one of the fastest growing urban areas in the United States and is therefore a prime location for the investigation of potential environmental contaminants and pollutants in road sediment. …
Viability Of Widely Used Encryption Schemes In Drone Transmission, Emanuel Yasir Nelson
Viability Of Widely Used Encryption Schemes In Drone Transmission, Emanuel Yasir Nelson
Cybersecurity Undergraduate Research Showcase
This paper presents throughout research on the security issues related to drone transmission. These topics were addressed and explained, in particular the aspects relating to cybersecurity, for utmost clarity. These include threats and vulnerabilities, drone transmission the impact of encryption on latency, and the details of the encryption methods AES-128, AES-256, and ChaCha20 that were used in the experiment described in the paper. Each encryption method performance was measured and outputted by the Python code developed and used in the experiment. Afterwards, the performance of each method was analyzed in relation to their decryption time, encryption time, end to end …
Global-Local Method For Poroelasticity Problems With Localized Pressure Effects, Hemantha Kunwar
Global-Local Method For Poroelasticity Problems With Localized Pressure Effects, Hemantha Kunwar
Math Department Colloquium Series
In many poroelasticity applications, pressure effects are confined to a small region, making it inefficient and possibly unnecessary to solve the full system across the entire domain. Instead, we propose to solve the poroelasticity problem locally, where pressure effects are significant, and use a simpler linear elasticity model elsewhere. This creates a coupled elasticity–poroelasticity problem with transmission conditions. To solve this coupled problem, we propose a new non-intrusive global–local algorithm that iteratively solves the elasticity problem in the entire (global) domain and the poroelasticity problem only in a local domain, ensuring proper transmission conditions across the interface. This approach, which …
Lead Sources Detected In Manila's Air After The Phase-Out Of Leaded Gasoline, Grace Betito, Paola Angela Bañaga, Maria Obiminda L. Cambaliza, Melliza Templonuevo Cruz, James Bernard Simpas, Mengli Chen, Jariya Kayee, Armin Sorooshian, Rachel A. Braun, Alexander B. Macdonald
Lead Sources Detected In Manila's Air After The Phase-Out Of Leaded Gasoline, Grace Betito, Paola Angela Bañaga, Maria Obiminda L. Cambaliza, Melliza Templonuevo Cruz, James Bernard Simpas, Mengli Chen, Jariya Kayee, Armin Sorooshian, Rachel A. Braun, Alexander B. Macdonald
Ateneo Atmospheric Physics Laboratory
Abstract
The global phase-out of leaded gasoline marked a major milestone in pollution control, yet modern uses of lead (Pb) continue to pose significant health risks, especially in low- and middle-income countries. In the Philippines, significant data gaps still exist despite increasing exposure. This study presents to the best of our knowledge, the first Pb isotopic fingerprinting of atmospheric aerosols in Metro Manila, Philippines, covering fine (0.56–1 μm) and coarse (5.6–10 μm) fractions, collected in 2018–2019. Results show that local sources, mainly industrial activities (45–62 %) and fossil fuel combustion (30–45 %), are now the dominant contributors to airborne Pb, …
Extensions Of Weighted Integral Inequalities For Ga-Convex Functions In Connection With Fejér’S Result, Muhammad Amer Latif
Extensions Of Weighted Integral Inequalities For Ga-Convex Functions In Connection With Fejér’S Result, Muhammad Amer Latif
Publications and Research
No abstract provided.
Final Butte Mine Waste Repository Geotechnical Investigation Work Plan, Pioneer Technical Services, Inc.
Final Butte Mine Waste Repository Geotechnical Investigation Work Plan, Pioneer Technical Services, Inc.
Silver Bow Creek/Butte Area Superfund Site
No abstract provided.
Iso-Detr: A Novel Detection Transformer For Industrial Small Object Detection, Faisal Saeed, Anand Paul
Iso-Detr: A Novel Detection Transformer For Industrial Small Object Detection, Faisal Saeed, Anand Paul
School of Public Health Faculty Publications
Effectively detecting and assessing real-time structural and ecological parameters in contemporary manufacturing environments poses significant challenges, particularly in identifying minute objects within product images. The swift evolution of the industrial sector underscores the necessity for intelligent manufacturing environments to uphold stringent product quality standards. However, accelerating production processes at high speeds heightens the risk of defective product outcomes. This research addresses the challenges inherent in small object detection within industrial contexts, proposing an innovative detection transformer model tailored to modern manufacturing environments. The proposed model integrates a feature-enhanced multi-head self-attention block (FEMSA), merging cross-channel communication network and multiple multi-head self-attention …
Confidential, Attestable, And Efficient Inter-Cvm Communication With Arm Cca, Sina Abdollahi, Amir Al Sadi, Marios Kogias, Hamed Haddadi, David Kotz
Confidential, Attestable, And Efficient Inter-Cvm Communication With Arm Cca, Sina Abdollahi, Amir Al Sadi, Marios Kogias, Hamed Haddadi, David Kotz
Other Faculty Materials
Confidential Virtual Machines (CVMs) are increasingly adopted to protect sensitive workloads from privileged adversaries such as the hypervisor. While they provide strong isolation guarantees, existing CVM architectures lack first-class mechanisms for inter-CVM data sharing due to their disjoint memory model, making inter-CVM data exchange a performance bottleneck in compartmentalized or collaborative multi-CVM systems. Under this model, a CVM's accessible memory is either shared with the hypervisor or protected from both the hypervisor and all other CVMs. This design simplifies reasoning about memory ownership; however, it fundamentally precludes plaintext data sharing between CVMs because all inter-CVM communication must pass through hypervisor-accessible …
Final Butte Mine Waste Repository Geotechnical Investigation Work Plan, Pioneer Technical Services, Inc.
Final Butte Mine Waste Repository Geotechnical Investigation Work Plan, Pioneer Technical Services, Inc.
Silver Bow Creek/Butte Area Superfund Site
No abstract provided.
Rogue Access Points And Their Impact On Networks, Sami Belmokhtar
Rogue Access Points And Their Impact On Networks, Sami Belmokhtar
Cybersecurity Undergraduate Research Showcase
This paper focuses on rogue access points (rogue APs) and how they can impact the security and stability of a network, and consequently, the safety and privacy of the users. Wireless access points (WAPs) are nodes that allow a user to connect to a local network. This includes devices such as the routers typically used in a home network. This paper examines how an unauthorized WAP may pose a threat to a network in both a public environment and an enterprise environment. Furthermore, it shows how a hacker can mimic a real wireless network and gain access to both user …
(R2127) On 2-Absorbing Hesitant Primary Fuzzy Ideals Of Rings, B. Anitha, M. Vidhya
(R2127) On 2-Absorbing Hesitant Primary Fuzzy Ideals Of Rings, B. Anitha, M. Vidhya
Applications and Applied Mathematics: An International Journal (AAM)
By presenting 2-absorbing hesitant primary fuzzy ideals, we begin the investigation of a generalisation of hesitant primary fuzzy ideals (HPRFI) in rings in this research. The concepts of a weakly completely 2-absorbing hesitant primary fuzzy ideal (WC2-AHPRFI) and a Weakly completely 2-absorbing hesitant fuzzy ideal (WC2-AHFI) are developed, and their structural features and attributes are examined. We introduce the idea of a 2-absorbing hesitant K-fuzzy ideal (2-AHK-FI), 2-absorbing hesitant K-primary fuzzy ideal (2-AHK-PRFI) and examine a few of its characteristics.
(R2136) Dimensionless Modeling And Analytical Insights Into Botanical Biofiltration Systems For Voc Reduction, N. Jeeva, K. M. Dharmalingam, M. Veeramuni
(R2136) Dimensionless Modeling And Analytical Insights Into Botanical Biofiltration Systems For Voc Reduction, N. Jeeva, K. M. Dharmalingam, M. Veeramuni
Applications and Applied Mathematics: An International Journal (AAM)
This paper investigates the mathematical modeling of volatile organic compound (VOC) removal using a botanical biofiltration system, an effective biological treatment method. It examines mass balance concentrations in the gas and biofilm phases, highlighting their significance in VOC degradation and indoor air quality enhancement. The governing equations of the proposed model are converted into a dimensionless form, resulting in second-order nonlinear differential equations. Derived from mass transfer and reaction kinetics principles, these equations incorporate specific boundary conditions to capture gas-biofilm interactions and VOC removal dynamics in biofiltration. The modified Adomian decomposition method (MADM) is utilized to derive analytical solutions for …
Generating Predictive Gene Expression Signatures For Alzheimer's Disease Using Postmortem Brain Tissue, Ashley Duche
Generating Predictive Gene Expression Signatures For Alzheimer's Disease Using Postmortem Brain Tissue, Ashley Duche
Pharmaceutical Sciences (PhD) Dissertations
Background: Alzheimer’s Disease (AD) is a progressive neurodegenerative disorder characterized by the accumulation of amyloid-beta (Aβ) plaques and tau protein aggregates. These pathological features develop in specific brain regions, but why some areas are more vulnerable to early AD-related changes remains unclear. To address this, predictive gene expression signatures were developed to explore the molecular mechanisms underlying regional susceptibility to AD pathology.
Methods: This was performed using postmortem brain (PMB) tissue from participants in the Religious Orders Study and Memory and Aging Project (ROSMAP), Mayo Clinic, and Mount Sinai Brain Bank (MSBB) to generate gene expression signatures from six brain …
Large Language Models As Machines Of Beauty: Cognitive Averaging, Latent Space Geometry, And The Entropic Foundations Of Aesthetic Preference, Daniel Plate, James Hutson
Large Language Models As Machines Of Beauty: Cognitive Averaging, Latent Space Geometry, And The Entropic Foundations Of Aesthetic Preference, Daniel Plate, James Hutson
Faculty Scholarship
This study advances the position that large language models (LLMs) and human perceptual systems are governed by a shared computational drive toward prototypicality, entropy reduction, and aesthetic coherence. Drawing on developmental evidence that infants exhibit early preferences for facial symmetry and averageness, the analysis situates aesthetic preference within broader research on processing fluency and predictive coding, emphasizing that biological perception rewards stimuli that reduce uncertainty and support efficient information compression. This foundation is used to examine how LLMs, through cross-entropy optimization, perplexity minimization, and latent space clustering, converge on high-density representational regions that operate as statistical prototypes of linguistic and …
(R2131) Analysis Of Map/Ph/1 Retrial Inventory Queueing System With Constant Retrial Rate, Bernoulli Vacation, Breakdown, Delayed Repair, Balking, (S, S) Policy And Emergency Replenishment, G. Ayyappan, M. Thilakavathy
(R2131) Analysis Of Map/Ph/1 Retrial Inventory Queueing System With Constant Retrial Rate, Bernoulli Vacation, Breakdown, Delayed Repair, Balking, (S, S) Policy And Emergency Replenishment, G. Ayyappan, M. Thilakavathy
Applications and Applied Mathematics: An International Journal (AAM)
A single server retrial queueing-inventory model is investigated in this study. In Bernoulli vacation, after providing service to the customer, the server may opt to avail vacation or start the service to subsequent customer. During the busy period, breakdown and balking may occur. The inventory is replenished to an (s, S) policy and the replenishing time is assumed to adopt an exponential distribution. Furthermore, assume that an emergency replenishment of one item with zero lead time takes place when the on-hand inventory level decreases to zero. We integrate the emergency replenishment into the system to ensure customer satisfaction. For our …
(R2120) Flexible Group Service Map/Ph/1 Queueing Model With Working Vacation And Optional Service, G. Ayyappan, S. Kalaiarasi
(R2120) Flexible Group Service Map/Ph/1 Queueing Model With Working Vacation And Optional Service, G. Ayyappan, S. Kalaiarasi
Applications and Applied Mathematics: An International Journal (AAM)
There are many uses of queues, where services are provided in groups; these types of queues are widely studied in the literature. In this paper we examine a particular queueing model wherein the services are provided in groups and the group size may be less than or equal to the size initially fixed. The arrival follows a Markovian arrival process. The service time of each individual customer follows phase type distribution. The maximum of each customer’s individual service time within a group is defined as the group’s service time. At the service completion moment if there are fewer customers than …
(R2084) Clarification Of Mathematical Criteria For Conservative Forces And Vector Fields With A Point Singularity In Engineering Studies, Nelli Aleksandrova
(R2084) Clarification Of Mathematical Criteria For Conservative Forces And Vector Fields With A Point Singularity In Engineering Studies, Nelli Aleksandrova
Applications and Applied Mathematics: An International Journal (AAM)
The paper deals with a comprehensive analysis of existing mathematical criteria for conservative vector fields including algebraic and geometrical interpretation of Extended Green’s Theorem. Special attention is devoted to the fields containing a point singularity, which represents the primary challenge both in teaching Calculus and in carrying out scientific research in general in computer engineering. Examples of real-world physical fields such as gravitational, electric and magnetic ones are used to appreciate the proposed clarification while teaching various interchangeable disciplines such as mathematics, physics and engineering. Other examples from scientific research literature are provided as well to support the necessity of …
(R2122) Analysis Of Halo Orbits In The Elliptical R3bp With Mass Variation, Majhar Ali, Abdullah .
(R2122) Analysis Of Halo Orbits In The Elliptical R3bp With Mass Variation, Majhar Ali, Abdullah .
Applications and Applied Mathematics: An International Journal (AAM)
The elliptic restricted three-body problem investigates the motion behaviour of the variable mass infinitesimal body under the gravitational forces of the radiated oblate primary and dipole secondary. The equations of motion of the infinitesimal body are determined using Jeans law and Meshcherskii space time transformations. Using the Lindstedt-Poincaré method, we perform the solutions of the equations of motion. With the use of these solutions and the equations of motion, we numerically illustrate the time series, phase spaces, projections and the Halo orbits.
(R2134) Continuous Shooting Approach With Improved Shooting Slope For Solving Higher Integer Order Boundary Value Problem, Razaq Adekola Oderinu, Adebowale Niyi Aderibigbe, Saheed Alao, Ahmed Adeyi Yahaya
(R2134) Continuous Shooting Approach With Improved Shooting Slope For Solving Higher Integer Order Boundary Value Problem, Razaq Adekola Oderinu, Adebowale Niyi Aderibigbe, Saheed Alao, Ahmed Adeyi Yahaya
Applications and Applied Mathematics: An International Journal (AAM)
This study presents a semi-analytical shooting method for solving nonlinear higher-order boundary value problems by integrating the Adomian Decomposition Method into the shooting technique, enabling series-form solutions. To enhance convergence, new higher-order shooting slopes and their corresponding supplementary equation formulas were introduced. Three numerical examples demonstrated the method’s accuracy: for the first two, absolute errors were computed using available exact solutions, while the third was compared with reference literature due to the absence of an exact solution. The method achieved very small absolute errors in the first two cases, and results from the third closely matched the literature. Tolerance values—defined …