Open Access
Research Article·pp. i–viii·Vol. 28, Issue 6Sep 2025
B. B. Gupta, Dinesh Goyal, Anil Kumar
Published Online: 30 Sep 2025DOI: 10.47974/JIM-28-6-Foreword In this paper: This special issue titled “Statistical & Mathematical Modelling for AI-Driven Intelligent Systems in IoT and its Computation Challenges,” highlights quality research that intersects artificial intelli...
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Open Access
Research Article·pp. 2059–2069·Vol. 28, Issue 6Sep 2025
Ashish Kumar, Komal Mehta Bhagat, Pankaj Dadheech, Sanwta Ram Dogiwal, Rakesh Sharma
Published Online: 30 Sep 2025DOI: 10.47974/JIM-2347 In this paper: Healthcare datasets pose unique challenges: they are large, varied, and often contain hidden structure that standard analysis methods struggle to reveal. In this work, we propose a practical approach...
Open Access
Research Article·pp. 2071–2078·Vol. 28, Issue 6Sep 2025
Rakesh Sharma, C. S. Lamba
Published Online: 30 Sep 2025DOI: 10.47974/JIM-2348 In this paper: The integration of AI into medical diagnostics has transformed the detection of gastrointestinal diseases. In this study, we develop a clear mathematical framework for classifying multiple GI conditio...
Open Access
Research Article·pp. 2079–2088·Vol. 28, Issue 6Sep 2025
Rupali Gangarde, Anitha Julian, Murali Dhar M. S., Gerardine Immaculate Mary, Mayur Rele, Muthukumaran Vaithianathan
Published Online: 30 Sep 2025DOI: 10.47974/JIM-2349 In this paper: Because climate change is getting worse, we need more complex scientific tools to make correct predictions and studies. Partial Differential Equations (PDEs) and green’s capabilities are very critical...
Open Access
Research Article·pp. 2089–2097·Vol. 28, Issue 6Sep 2025
Amol Bapuso Rajmane, Shubhangi Babasaheb Patil, Vaishnaw G. Kale, Sagar Vasantrao Joshi, Deepak Balaso Patil, Trupti Narayan Pawase
Published Online: 30 Sep 2025DOI: 10.47974/JIM-2350 In this paper: This work presents a novel creative approach to describe cognitive systems by combining differential geometry with reinforcement learning. We propose a mathematical approach primarily based on geometr...
Open Access
Research Article·pp. 2099–2108·Vol. 28, Issue 6Sep 2025
Anil Kumar C., C. K. Narayanappa, Bhargavi S., Harish S., Rekha Krishna, Varalakshmi K R, Ashwini S.
Published Online: 30 Sep 2025DOI: 10.47974/JIM-2351 In this paper: Chaos theory and nonlinear dynamics have become very useful for studying and managing complicated industrial systems. Nonlinear systems and chaos concept are becoming more essential in engineering bec...
Open Access
Research Article·pp. 2109–2120·Vol. 28, Issue 6Sep 2025
Warin Sripanya, Wannarut Rungrottheera, Pacharapol Hyunsin
Published Online: 30 Sep 2025DOI: 10.47974/JIM-2352 In this paper: This paper aims to study the Fourier series of a function defined on the interval [–l/2, 0] under various conditions. Furthermore, when a function is given on [a, b], its Fourier series is obtained by...
Open Access
Research Article·pp. 2121–2130·Vol. 28, Issue 6Sep 2025
V. Sri Lakshmi, N. Srimannarayana, M. V. Chakradhara Rao, Fredric Ayant, D. K. Pavan Kumar
Published Online: 30 Sep 2025DOI: 10.47974/JIM-2353 In this paper: A set of Eulerian integrals associated with I-function (modified) has been established in this paper. Furthermore, we will conclude with an examination of several specific instances of these integral...
Open Access
Research Article·pp. 2131–2139·Vol. 28, Issue 6Sep 2025
Cuddapah Anitha, Vimal Bibhu, Pratik Ghutke, Priti C. Shende, Sachin Harne, G. Sasikala
Published Online: 30 Sep 2025DOI: 10.47974/JIM-2354 In this paper: Stability, robustness, and convergence are problems that deep learning systems often have to deal with when training dynamics aren’t linear and there are hostile changes. Nonlinear partial differentia...
Open Access
Research Article·pp. 2141–2149·Vol. 28, Issue 6Sep 2025
Vikramsinha V. Mane, Sunil Deshpande, Vinay Kumar Gadpayle, Gaurav Nagdeve, Ashwin Ghaysundar, A. Sandeep Kumar
Published Online: 30 Sep 2025DOI: 10.47974/JIM-2355 In this paper: Using the Finite Element Method (FEM) for computational fluid dynamics (CFD) is a good way to look at complicated turbo machinery flows that have spinning, turbulence, and compressibility. This examin...
Open Access
Research Article·pp. 2151–2159·Vol. 28, Issue 6Sep 2025
M. Aniji, Budigi Prabhakar, Anjali Nair, Prashant Anerao, R. G. Biradar, M. Purnachandra Rao
Published Online: 30 Sep 2025DOI: 10.47974/JIM-2356 In this paper: Orbital mechanics with perturbation methods gives us a way to look at departures from the idealized Keplerian motion using math. Changes happen because of gravity, uneven mass distributions, air drag,...
Open Access
Research Article·pp. 2161–2169·Vol. 28, Issue 6Sep 2025
Vijaya Vijaykumar Pangave, Shilpy Singh, Shweta Redkar, Sushma Sawadatkar, Rajesh Raikwar, S. Radhakrishnan
Published Online: 30 Sep 2025DOI: 10.47974/JIM-2357 In this paper: Integral equation methods are a useful way to look at how sound waves move in structural health monitoring (SHM). These methods naturally work with endless areas, complex borders, and different types...
Open Access
Research Article·pp. 2171–2179·Vol. 28, Issue 6Sep 2025
Uma Bhardwaj, Renukhadevi M., Poonam Vishwas Meghare, Gajanan Chavan, Sharyu Ikhar, A. Suneetha
Published Online: 30 Sep 2025DOI: 10.47974/JIM-2358 In this paper: Genetic regulatory networks, or GRNs, are made up of genes, proteins, and regulatory factors that control how cells work. Most of the time, traditional fixed models cannot explain how gene expression...
Open Access
Research Article·pp. 2181–2188·Vol. 28, Issue 6Sep 2025
Vikramsinha V. Mane, Tanveer Ahmad Wani, Pratik Ghutke, Vanishri Patil, Mahesh Kurulekar, G. Mahesh Reddy
Published Online: 30 Sep 2025DOI: 10.47974/JIM-2359 In this paper: Nonlinear partial differential equations (PDEs) are very important for modeling complicated behaviours in quantum fluid dynamics, which is where quantum physics and traditional hydrodynamics meet. It...
Open Access
Research Article·pp. 2189–2196·Vol. 28, Issue 6Sep 2025
Nikhil Shete, Milind Patil, Sunil Thakur, Raman Chadha, Samir N. Ajani, G. Srujana
Published Online: 30 Sep 2025DOI: 10.47974/JIM-2360 In this paper: By using the symmetries that are built into physical systems, Lie group theory is a key tool for understanding and simplifying how they work. Complex differential equations that govern physical rules...
Open Access
Research Article·pp. 2197–2205·Vol. 28, Issue 6Sep 2025
Cholaraja Mudimannan, Gauri Patil, Suraj Bhan, Suhas Bhise, Balkrishna K. Patil, J. Mounika
Published Online: 30 Sep 2025DOI: 10.47974/JIM-2361 In this paper: To correctly solve hyperbolic conservation laws, which often have shocks and discontinuities, you need high-order finite difference methods. Numerical spread and instability are problems with traditio...
Open Access
Research Article·pp. 2207–2215·Vol. 28, Issue 6Sep 2025
Saurabh Saoji, Budigi Prabhakar, Mikhal John, Kiran Ingle, Vrushali G. Raut, K. Nagendra Prasad
Published Online: 30 Sep 2025DOI: 10.47974/JIM-2362 In this paper: Large sparse linear systems, like those found in scientific computing, engineering models, and optimization problems, can be solved very efficiently using iterative Krylov subspace methods. The Genera...
Open Access
Research Article·pp. 2217–2225·Vol. 28, Issue 6Sep 2025
Reshma K. P., Shashikant Prasad, Chetan Kumar Sharma, Abhijeet Deshpande, Sahebrao Bhaurao Bagal, K. Tejaswi
Published Online: 30 Sep 2025DOI: 10.47974/JIM-2363 In this paper: Ordinary differential equations (ODEs) that are stiff come up a lot in science and engineering. They need numerical methods that balance stability, speed, and accuracy. In strict regimes, explicit Run...
Open Access
Research Article·pp. 2227–2235·Vol. 28, Issue 6Sep 2025
Manjushri Joshi, Puja Gurav, Tanveer Ahmad Wani, Ganesh Korwar, Harish Barapatre, Cherukuri Krishna Veni
Published Online: 30 Sep 2025DOI: 10.47974/JIM-2364 In this paper: Monte Carlo (MC) and Quasi-Monte Carlo (QMC) methods have become important ways to solve complex integration problems in engineering, banking, and science computing. MC uses random sampling to get be...
Open Access
Research Article·pp. 2237–2245·Vol. 28, Issue 6Sep 2025
Mayuri H. Molawade, Smita Desai, Urmila Kadam, Samana Vinaya Kumar, Seema Vanjire, Shital Kakad
Published Online: 30 Sep 2025DOI: 10.47974/JIM-2365 In this paper: Digital images consist of two‑dimensional arrays of pixel values, and storing such arrays without compression quickly becomes prohibitive. Harmonic analysis offers a mathematical framework for represe...
Open Access
Research Article·pp. 2247–2253·Vol. 28, Issue 6Sep 2025
Bipin Sule, Vimal Bibhu, Satyendra Kumar, Shivanshu Katoch, Dinesh Kumar, Lalita Kiran Wani
Published Online: 30 Sep 2025DOI: 10.47974/JIM-2366 In this paper: Curvature provides a quantitative measure of how a geometric object bends in space. Differential geometry offers a rigorous framework for defining and computing curvature on curves, surfaces and manif...
Open Access
Research Article·pp. 2255–2261·Vol. 28, Issue 6Sep 2025
Sandip Kulkarni, Urmila Kadam, Deepak Kumar Paswan, Kumari Shipra, Bhavana Chandramani Julme, Satyawan L. Dhondge
Published Online: 30 Sep 2025DOI: 10.47974/JIM-2367 In this paper: Nonlinear differential equations describe the dynamic behaviours of many engineering systems, from mechanical oscillators with nonlinear springs to electrical circuits containing diodes. The safe and...
Open Access
Research Article·pp. 2263–2271·Vol. 28, Issue 6Sep 2025
Kanwar Tushar Punj, Trupti Dhanadhya, Tanveer Ahmad Wani, Satish S. Banait, Raminderpreet Pal Singh, Satyawan L. Dhondge
Published Online: 30 Sep 2025DOI: 10.47974/JIM-2368 In this paper: Spectral methods approximate partial differential equations (PDEs) by expressing the solution as a sum of globally defined basis functions. In multiphysics simulations such as coupled fluid flow and h...
Open Access
Research Article·pp. 2273–2280·Vol. 28, Issue 6Sep 2025
Vipan Kumar, Uma Bhardwaj, Yamini Sood, Vijaykumar Bhanuse, Vinayak Musale, M. Ramesh Kumar
Published Online: 30 Sep 2025DOI: 10.47974/JIM-2369 In this paper: Mathematical modelling plays a fundamental role in designing drug delivery systems, where the goal is to release an active molecule at a controlled rate and in a specific target region. Diffusion and...
Open Access
Research Article·pp. 2281–2287·Vol. 28, Issue 6Sep 2025
Chaitali Deshpande, Chandrashekhar Ramtirthkar, Tanveer Ahmad Wani, Varsha Kiran Bhosale, Monali Gulhane, K. Senthil Kumar
Published Online: 30 Sep 2025DOI: 10.47974/JIM-2370 In this paper: Topology and knot theory have profoundly influenced modern quantum field theory by revealing deep connections between gauge fields and topological invariants. Topological quantum field theories (TQFTs...
Open Access
Research Article·pp. 2289–2299·Vol. 28, Issue 6Sep 2025
V. Dankan Gowda, Pratik Gite, Nethravathi H. M., Prasanna Kumar Lakineni, K.D.V. Prasad, Shyamsunder Chitta
Published Online: 30 Sep 2025DOI: 10.47974/JIM-2371 In this paper: IoT has opened the floodgates the importance use of image processing in areas like surveillance, auto-navigating vehicles, and smart healthcare. Nonetheless, noise in IoT-generated images largely dist...
Open Access
Research Article·pp. 2301–2310·Vol. 28, Issue 6Sep 2025
Manish Khowal, Laxmi Poonia, Manali Vijayvargiya, Rakhi Mathur
Published Online: 30 Sep 2025DOI: 10.47974/JIM-2372 In this paper: This study investigates a geometrically uniform yet directionally variant Bianchi type-V inflationary cosmic framework within a tensor-scalar gravitational theory formulated by Saez-Ballester, where t...
Open Access
Research Article·pp. 2311–2318·Vol. 28, Issue 6Sep 2025
Rakhi Mathur, Laxmi Poonia, Varsha Maheshwari, Manish Khowal
Published Online: 30 Sep 2025DOI: 10.47974/JIM-2373 In this paper: This paper has been written to study an anisotropic Bianchi Type VIII cosmological model which incorporates a Higgs scalar field with a flat effective potential and a bulk viscous fluid. The model is...
Open Access
Research Article·pp. 2319–2329·Vol. 28, Issue 6Sep 2025
Manali Vijayvargiya, Laxmi Poonia, Manish Khowal, Varsha Maheshwari
Published Online: 30 Sep 2025DOI: 10.47974/JIM-2374 In this paper: This work is the result of examining Bianchi VI_0 string cosmology model, including the Saez-Ballester theory (SBT) of gravity & varying cosmological constant. Energy-momentum tensor developed by Lete...
Open Access
Research Article·pp. 2331–2338·Vol. 28, Issue 6Sep 2025
Varsha Maheshwari, Laxmi Poonia, Rakhi Mathur, Manali Vijayvargiya
Published Online: 30 Sep 2025DOI: 10.47974/JIM-2375 In this paper: In the current research, I have used the framework of Bianchi Type II LRS type metric using the condition of the stiff fluid inflationary model with flat potential. For a relativistic solution of the...
Open Access
Research Article·pp. 2339–2348·Vol. 28, Issue 6Sep 2025
D. B. Lakshmikantha, N. Raveendra, D. V. Jayalakshamamma, M. C. Kemparaju, D. V. Chandrashekar
Published Online: 30 Sep 2025DOI: 10.47974/JIM-2376 In this paper: The paper discusses the effects of a hybrid nanofluid that is magnetically driven in presence of the heat produced on a permeable sheet that rattles the exponential elongation or contraction. The hybr...
Open Access
Research Article·pp. 2349–2357·Vol. 28, Issue 6Sep 2025
Farhadeeba Shaikh, Mohammad Sohail Pervez, Satish S. Banait, Shubham Goswami, Anil Kumar, Uday Chandrakant Patkar
Published Online: 30 Sep 2025DOI: 10.47974/JIM-2377 In this paper: The article “Algorithmic Approaches to Genuine and Complex Geometry in Computer Vision Applications” talks almost how geometric thoughts can be utilized to create computer vision frameworks work super...
Open Access
Research Article·pp. 2359–2366·Vol. 28, Issue 6Sep 2025
Hemant Kumar Balasaheb Jadhav, Dinesh Goyal, Tanya Singh, Yatri Davda, Suman Kumar Swarnkar, Dharmesh Dhabliya
Published Online: 30 Sep 2025DOI: 10.47974/JIM-2378 In this paper: There is a powerful mathematical method for simulating quantum dynamics that goes beyond finite qubit representations called infinite-dimensional Hamiltonian systems. These systems make it possible to...
Open Access
Research Article·pp. 2367–2375·Vol. 28, Issue 6Sep 2025
Kumari Shipra, Bhalchandra M Hardas, Pawan Wawage, Virat V. Giri, Swapnali P. Gaikwad, Nitin Rakesh
Published Online: 30 Sep 2025DOI: 10.47974/JIM-2379 In this paper: Random Dynamical Systems (RDS) are a powerful method for utilising mathematics to characterise and comprehend systems influenced by uncertainty and randomness. RDS are very important for self-driving...
