{"title":"Correction: Analysis of COVID-19 Model Using Atangana-Baleanu Variable Order Operator","authors":"Pratibha Verma, Surabhi Tiwari","doi":"10.1007/s40010-025-00977-0","DOIUrl":"10.1007/s40010-025-00977-0","url":null,"abstract":"","PeriodicalId":744,"journal":{"name":"Proceedings of the National Academy of Sciences, India Section A: Physical Sciences","volume":"96 2","pages":"339 - 339"},"PeriodicalIF":1.3,"publicationDate":"2026-01-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148496695","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A Ranked Set Generalized Procedure for Computing Mean Using Searls Technique: Applications to Real Data","authors":"Abhishek Singh, Bavita Singh, Sweta Shukla","doi":"10.1007/s40010-025-00976-1","DOIUrl":"10.1007/s40010-025-00976-1","url":null,"abstract":"<div><p>The Searls technique has been used in this article to build a generalized class of estimators for estimating a finite population mean under a ranked set sampling strategy. To the first order of approximation, the equations for bias and mean square error (MSE) of the proposed class of estimators have been derived. Many specific estimators from the suggested class are displayed. Using the MSE, percentage relative efficiency criterion, the suggested class of estimators has been compared to the corresponding generalized class and to its other existing estimators. It has been established under what circumstances the suggested class performs better. Ranked set sampling is better substitute of simple random sampling, is also proved. Two real-world studies using real-world data on cost-effective gasoline sample, and sleeping patterns of elderly people have been used in efficiency comparisons, in empirical study. The simulation studies have also been carried for the same.</p></div>","PeriodicalId":744,"journal":{"name":"Proceedings of the National Academy of Sciences, India Section A: Physical Sciences","volume":"96 2","pages":"299 - 311"},"PeriodicalIF":1.3,"publicationDate":"2026-01-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148496677","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Simulation and Analysis of Fractional Model of Human Liver with Real Data Comparison via Caputo Derivative","authors":"Lalit Mohan, Amit Prakash","doi":"10.1007/s40010-025-00969-0","DOIUrl":"10.1007/s40010-025-00969-0","url":null,"abstract":"<div><p>In this work, we have examined the fractional model of the human liver based on BSP test. A hybrid numerical technique namely Natural transform homotopy perturbation technique is utilised for solving the given model. This technique is an excellent combination of Natural transform and a semi-analytical technique. The Ulam–Hyers stability of the solutions of the given model is analysed. The existence of a unique solution is established by using fixed-point theorem. Finally, the efficiency of the presented technique is validated by comparing the numerical results with the existing methods and clinical data.</p></div>","PeriodicalId":744,"journal":{"name":"Proceedings of the National Academy of Sciences, India Section A: Physical Sciences","volume":"96 2","pages":"203 - 212"},"PeriodicalIF":1.3,"publicationDate":"2026-01-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148496741","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"On q-New Laplace Type Integral Transform of Three Variables with Applications","authors":"Srikumar Panda, Arvind Kumar Sinha","doi":"10.1007/s40010-025-00973-4","DOIUrl":"10.1007/s40010-025-00973-4","url":null,"abstract":"<div><p>We introduce the definition of triple new Laplace type integral transform in q-calculus namely q-triple new Laplace type integral transform, by using the functions of several variables and establish some properties. Furthermore, several theorems dealing with the properties of the q-triple new Laplace type Integral transform are proved. We also give some applications of q-triple new Laplace type Integral transform for solving non-homogeneous Mboctara partial differential equation and diffusion partial differential equation with initial and boundary values problems to its effectiveness and performance of the proposed method.</p></div>","PeriodicalId":744,"journal":{"name":"Proceedings of the National Academy of Sciences, India Section A: Physical Sciences","volume":"96 2","pages":"269 - 278"},"PeriodicalIF":1.3,"publicationDate":"2026-01-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148496691","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Microbial Fuel Cells: Sustainable Energy Solutions for Wastewater Treatment-A Mini Review","authors":"Morteza Esfandyari, Dariush Jafari","doi":"10.1007/s40010-025-00960-9","DOIUrl":"10.1007/s40010-025-00960-9","url":null,"abstract":"<div><p>Microbial fuel cells (MFCs) have been emerging as a promising technology for efficient and sustainable energy production from wastewater. MFCs produce electricity by controlling the metabolic activity of microorganisms present in wastewaters. Such a process is not only used for the conversion of wastes to energy, but also it is considered as an environmentally friendly strategy for wastewater treatment. Several feasibility studies have been carried out on the application of MFCs for wastewater treatment which have approved the potential of this technology for energy production and resource recovery. However, further investigations should be carried out on optimization of MFCs real application and finding appropriate solutions to their technical and economic challenges related to their scale-up.</p></div>","PeriodicalId":744,"journal":{"name":"Proceedings of the National Academy of Sciences, India Section A: Physical Sciences","volume":"96 1","pages":"155 - 164"},"PeriodicalIF":1.2,"publicationDate":"2026-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147614777","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Estimation of the Plastic Area Around the Crack Tip Using a New Mixed Finite Element Approach","authors":"Ahmed Bougueroua, Hamoudi Bouzerd, Mohamed Kezzar","doi":"10.1007/s40010-025-00971-6","DOIUrl":"10.1007/s40010-025-00971-6","url":null,"abstract":"<div><p>The present article presents a numerical model for analyzing interfacial fracture in ductile materials exhibiting perfectly elastoplastic behavior, taking into account the ductility induced by the increase in tension at the crack tip. The analysis of structures with cracked interfaces requires the satisfaction of interface continuity conditions—namely, the continuity of displacement and the continuity of the stress vector. To address this, a mixed finite element, designated RMQ-7, is employed to determine the size of the plastic zone (PZ) around the crack tip under both mode I and mixed-mode (I + II) loading conditions. The calculations are performed according to the Von Mises plasticity criterion, implemented within the mixed finite element framework, which incorporates the elastoplastic constitutive law of the material. The results obtained using the RMQ-7 element show good agreement with both numerical and analytical results, as verified by the maximum crack opening displacement and the classical Irwin formula. In addition, this paper addresses the problem of slant and kinking cracks. The proposed special mixed finite element, combined with the virtual crack extension technique, has been developed to evaluate the energy release rate within a single finite-element analysis. The element is defined from a parent element in the natural coordinate plane (ξ, η), which simplifies the numerical computation within each element of the simulation. Finally, an example problem involving slant cracks in a homogeneous material, drawn from the literature, is presented to assess the computational accuracy of the proposed approach.</p></div>","PeriodicalId":744,"journal":{"name":"Proceedings of the National Academy of Sciences, India Section A: Physical Sciences","volume":"96 2","pages":"233 - 246"},"PeriodicalIF":1.3,"publicationDate":"2026-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148496679","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
R. Sujatha, Gali Yaswanth, Jyotir Moy Chatterjee, Ishaani Priyadarshini
{"title":"Impact of Online Education: an Artificial Intelligence-Based analysis","authors":"R. Sujatha, Gali Yaswanth, Jyotir Moy Chatterjee, Ishaani Priyadarshini","doi":"10.1007/s40010-025-00975-2","DOIUrl":"10.1007/s40010-025-00975-2","url":null,"abstract":"<div><p>Online education is one of the educational solutions for students during the COVID-19 pandemic. Worldwide, most universities have shifted much of their learning frameworks to an online learning model to limit physical interaction between people and slow the spread of COVID-19. The effectiveness of online learning depends on multiple factors, including student and instructor self-efficacy, attitudes, and confidence in using the technology involved; the educational strategies employed; the ability to monitor and evaluate educational outcomes; and student motivation, among many others. Therefore, in the present work, we will be assessing the performance and student condition in the online mode of education by predicting the degree to which students are satisfied in online mode depending on factors like internet facility, interaction in online mode, etc. We will be evaluating the data, which is collected using a survey method with almost 1000 records with 22 attributes by applying various machine learning models (XGBoost, Random Forest, Catboost, Gradient Boosting) and a deep learning model named TabNet to predict the impact of online education among the students. To enhance the accuracy of the prediction model, we have ensembled the machine learning and deep learning models. The ensemble model gave an accuracy of 86.6%, with an F1 score of 0.863 on the dataset.</p></div>","PeriodicalId":744,"journal":{"name":"Proceedings of the National Academy of Sciences, India Section A: Physical Sciences","volume":"96 2","pages":"287 - 297"},"PeriodicalIF":1.3,"publicationDate":"2026-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148496693","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Coinfection Dynamics of Tuberculosis with Other Infectious Diseases—A Mathematical Study","authors":"Aditya Pandey, Archana Singh Bhadauria","doi":"10.1007/s40010-025-00946-7","DOIUrl":"10.1007/s40010-025-00946-7","url":null,"abstract":"<div><p>This study investigates the SEIR mathematical model to examine the co-dynamics of tuberculosis and other infectious diseases. Tuberculosis patients are known to have a higher susceptibility to additional infections due to compromised immunity. As such, understanding the dynamics of co-infections involving tuberculosis is critical, given their significant contribution to the overall disease burden in a population. In this paper, we propose an SEIR model that accounts for saturated treatment and incidence rates. A local stability analysis of the model is conducted, along with the calculation of the basic reproduction number. We also perform a sensitivity analysis of the reproduction number. Furthermore, an optimal control problem is formulated to enhance prevention strategies and minimize the costs associated with managing co-infectious diseases. The findings highlight that providing effective treatment to the infected population is the most impactful and cost-efficient strategy for disease control.</p></div>","PeriodicalId":744,"journal":{"name":"Proceedings of the National Academy of Sciences, India Section A: Physical Sciences","volume":"96 1","pages":"15 - 31"},"PeriodicalIF":1.2,"publicationDate":"2026-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147611963","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Numerical Solution of Third-Order Singularly Perturbed Boundary Value Problems Via Quartic B-Spline Method","authors":"Hradyesh Kumar Mishra, Ram Kishun Lodhi","doi":"10.1007/s40010-025-00974-3","DOIUrl":"10.1007/s40010-025-00974-3","url":null,"abstract":"<div><p>This manuscript presents a Quartic B-spline Method (QBSM) for the accurate estimation of numerical solutions to singularly perturbed third order boundary value problems (SPTOBVPs). The technique leverages a piecewise uniform mesh, constructed through the Fitted Mesh Technique (FMT), to enhance nodal point distribution within boundary layer regions. The convergence of proposed method are thoroughly investigated and found that it gives second-order convergence results. The efficacy of proposed method is demonstrated through the numerical examples, substantiating its theoretical results.</p></div>","PeriodicalId":744,"journal":{"name":"Proceedings of the National Academy of Sciences, India Section A: Physical Sciences","volume":"96 2","pages":"279 - 286"},"PeriodicalIF":1.3,"publicationDate":"2025-12-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148496692","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"An Efficient Supply Management in Water Flow Network Using Graph Spectral Techniques Based on a Distance Laplacian Matrix","authors":"Tamilselvi Gopalsamy, Vasanthi Thankappan, Sundar Chandramohan","doi":"10.1007/s40010-025-00972-5","DOIUrl":"10.1007/s40010-025-00972-5","url":null,"abstract":"<div><p>The efficient management of water distribution networks (WDNs) is crucial for ensuring sustainable urban water supply. In this paper, we present a novel framework that utilizes the Distance Laplacian Matrix (DLM) to analyze and optimize WDNs. The DLM integrates distance information into the Laplacian matrix, offering valuable insights into network connectivity and dynamics. We introduce a comprehensive methodology that employs spectral analysis techniques based on the DLM to tackle key challenges in WDN management, such as critical node identification, network resilience assessment, and structural optimization. Through case studies and practical implementations, we illustrate the effectiveness of our approach in improving decision-making processes and enhancing the efficiency and resilience of WDNs. The framework offers a novel suite of Distance Laplacian Matrix techniques tailored to enhance core water management tasks and streamline the identification of water losses through optimal network partitioning. This study proposes a novel framework using the Distance Laplacian Matrix (DLM) for efficient water distribution network management. The DLM incorporates distance metrics into spectral analysis, which provides enhanced network connectivity and performance insights. Through the application of DLM-based spectral clustering, critical nodes, resilience assessments, and network optimization tasks are handled effectively. Case studies demonstrate the applicability of the framework in urban water networks, ensuring improved decision making for network partitioning and resource distribution.</p></div>","PeriodicalId":744,"journal":{"name":"Proceedings of the National Academy of Sciences, India Section A: Physical Sciences","volume":"96 2","pages":"247 - 268"},"PeriodicalIF":1.3,"publicationDate":"2025-12-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148496690","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}