TARU PUBLICATIONS
Journal of Interdisciplinary Mathematics cover
Open Access ·Peer-reviewed·ISSN (Online): 2169-012X·ISSN (Print): 0972-0502

Monthly Journal: Publishes the methodological and theoretical role of mathematics and mathematical applications underpinning scientific research.

Issues up to 2022 co-published with and available at:Taylor & Francis Online
submissions@tarupublications.com
Special Issue

Interdisciplinary Mathematical Approaches in Sustainable Computing

Volume 29, Issue 3·March 2026·27 articles

Articles

Open Access Research Article·pp. i–vii·Vol. 29, Issue 3Mar 2026

Special Issue on Interdisciplinary Mathematical Approaches in Sustainable Computing

Ramesh Chandra Poonia, Kamal Upreti, Srinivasa Rao Adapa, Venkata Lakshmi Namburi, Deepak Ramchandra Gupta, Vinod Nair, Kushagra Goel, Syed Mohammed Shakir Ali

Published Online: 18 Mar 2026DOI: 10.47974/JIM-29-3-Foreword

In this paper: This special issue titled “Interdisciplinary Mathematical Approaches in Sustainable Computing”, presents original contributions that underscore the foundational and integrative role of mathematics in...

AbstractFull Text PDF (117 KB)Views: 253Downloads: 141Citations: 0
Open Access Research Article·pp. 505–516·Vol. 29, Issue 3Mar 2026

Developing mathematical models to analyze economic growth patterns in emerging market dynamics

Swati Jain, Swami Nisha Bhagirath, Bhoomika Batra, Vaibhav Bhavnagar

Published Online: 18 Mar 2026DOI: 10.47974/JIM-2485

In this paper: A key factor in determining national development and directing successful market strategies is economic growth. Making better judgements in developing countries is facilitated for investors and policy...

AbstractReferencesFull Text PDF (527 KB)Views: 318Downloads: 129Citations: 0
Open Access Research Article·pp. 517–525·Vol. 29, Issue 3Mar 2026

Integrating mathematics and art : Using fractal analysis for modern graphic design optimization

Vaibhav Arjunrao Parjane, Nitin Chakole, Khushboo, Haripriya H. Kulkarni, Purva Mange, Sardor Sabirov

Published Online: 18 Mar 2026DOI: 10.47974/JIM-2486

In this paper: This paper examines how math and art are combined is by using fractal analysis to enhance the current visual design. The traditional methods of designing, tend to be not that good with maths, and it b...

AbstractReferencesFull Text PDF (441 KB)Views: 249Downloads: 118Citations: 0
Open Access Research Article·pp. 527–535·Vol. 29, Issue 3Mar 2026

Exploring advanced mathematical concepts in quantum computing for algorithm enhancement

Shabina Jameer Modi, Archana R. Panhalkar, Natasha Martin, Pallavi Vasudev Baviskar, Tanveer Ahmad Wani, Erkin Kholiyarov

Published Online: 18 Mar 2026DOI: 10.47974/JIM-2487

In this paper: With this research, the design and performance of quantum programs will be enhanced by investigating the higher mathematical concepts that underlie quantum computers. The goals of the study also inclu...

AbstractReferencesFull Text PDF (378 KB)Views: 261Downloads: 111Citations: 0
Open Access Research Article·pp. 537–546·Vol. 29, Issue 3Mar 2026

Exploring new theorems in non-Euclidean geometry for advanced mathematical geometric applications

Vikramsinha V. Mane, Anjali Shrivastav, Girish Abhyankar, Abhijeet Deshpande, Budigi Prabhakar, Egambergan Khudaynazarov

Published Online: 18 Mar 2026DOI: 10.47974/JIM-2488

In this paper: This study examines the new theories of non-Euclidean geometry to avoid issues of more complex mathematical applications of the normal geometry structures. In curved space cases, the older ones would...

AbstractReferencesFull Text PDF (443 KB)Views: 340Downloads: 139Citations: 0
Open Access Research Article·pp. 547–556·Vol. 29, Issue 3Mar 2026

Infinite series convergence and its engineering implications in theoretical mathematical studies

Raju M Sairise, Nilesh M Pawar, Ashutosh Panchbhai, Tanveer Ahmad Wani, Dharmesh Dhabliya, Zokir Mamadiyarov, Vinit Khetani

Published Online: 18 Mar 2026DOI: 10.47974/JIM-2489

In this paper: Very important concepts in both pure mathematics and engineering are infinite series convergence. The study examines the fundamental concepts of the convergence criteria, including the absolute and co...

AbstractReferencesFull Text PDF (545 KB)Views: 261Downloads: 193Citations: 0
Open Access Research Article·pp. 557–565·Vol. 29, Issue 3Mar 2026

Unifying algebraic structures in mathematics for diverse theoretical applications

Chetan Kumar Sharma, Lakhwinder Kaur, Shruti Mishra, Shailesh Kulkarni, Ismatulla Khayrullayev, Dnyaneshwar Murlidhar Mate, Prashant Wakhare

Published Online: 18 Mar 2026DOI: 10.47974/JIM-2490

In this paper: This paper presents the way of integrating various mathematical structures into one system that will result in the improvement of academic knowledge and liberate more useful applications. The work est...

AbstractReferencesFull Text PDF (534 KB)Views: 315Downloads: 193Citations: 0
Open Access Research Article·pp. 567–574·Vol. 29, Issue 3Mar 2026

Exploring quantum mechanics mathematical foundations through theoretical model development

Anjali Shrivastav, Shashikala Gurpur, Tanveer Ahmad Wani, Avinash Somatkar, Ganesh Jorvekar, Sardor Sabirov

Published Online: 18 Mar 2026DOI: 10.47974/JIM-2491

In this paper: This is explored in this work by constructing and analyzing theoretical models explaining how this works. It focuses on such mathematical objects as Hilbert spaces, operators and wave functions and lo...

AbstractReferencesFull Text PDF (464 KB)Views: 174Downloads: 129Citations: 0
Open Access Research Article·pp. 575–585·Vol. 29, Issue 3Mar 2026

Improving machine learning algorithms using methodological stochastic differential equations

Isha Saluja, Srijita Bhattacharjee, Vimal Bibhu, S. Mohan Mahalakshmi Naidu, Vanita S. Buradkar, Samariddin Makhmudov

Published Online: 18 Mar 2026DOI: 10.47974/JIM-2492

In this paper: The study examines the application of scientific stochastic differential equations (SDEs) to machine learning techniques to make them more robust and predictive. This is an approach that enhances gene...

AbstractReferencesFull Text PDF (603 KB)Views: 213Downloads: 131Citations: 0
Open Access Research Article·pp. 587–596·Vol. 29, Issue 3Mar 2026

Efficient solving of partial differential equations with new numerical methods

Ravi Yadav, Tanveer Ahmad Wani, Mandar K. Mokashi, Shirish Jaysing Navale, Egambergan Khudaynazarov, Swati V. Khidse

Published Online: 18 Mar 2026DOI: 10.47974/JIM-2493

In this paper: Partial Differential Equations (PDEs) play a very significant role in the life of scientists and engineers who wish to model complex physical processes. However, standard solutions to math have a hard...

AbstractReferencesFull Text PDF (476 KB)Views: 244Downloads: 119Citations: 0
Open Access Research Article·pp. 597–606·Vol. 29, Issue 3Mar 2026

Mathematical models to optimize pandemic spread and control strategies in public health management

Uma Bhardwaj, Shirish Jaysing Navale, Akshita S. Chanchlani, S. D. Murtuza, Debarshita Dey, Egambergan Khudaynazarov, Navneet Joshi

Published Online: 18 Mar 2026DOI: 10.47974/JIM-2494

In this paper: This paper presents mathematical models that may be applied to enhance the management of the health of the population and prevent pandemics. It is based on compartmental models such as SEIR and contro...

AbstractReferencesFull Text PDF (445 KB)Views: 269Downloads: 149Citations: 0
Open Access Research Article·pp. 607–616·Vol. 29, Issue 3Mar 2026

Enhancing electronics design with complex variable theory in industrial applications

Nilesh M Pawar, Raju M Sairise, Kumari Shipra, Malem Mangal Laishram, Egambergan Khudaynazarov, Aparna Shrinivas Shirkande

Published Online: 18 Mar 2026DOI: 10.47974/JIM-2495

In this paper: This essay will examine the use of complex variable theory to make the industrial electronics design more appropriate. Complex analysis is a field of mathematics that assists engineers to know more an...

AbstractReferencesFull Text PDF (402 KB)Views: 179Downloads: 140Citations: 0
Open Access Research Article·pp. 617–625·Vol. 29, Issue 3Mar 2026

Enhancing healthcare decision support systems with fuzzy mathematical models

S. Mohan Mahalakshmi Naidu, Uma Bhardwaj, Naveen Tewari, Anil Hingmire, Sarvar Iskandarov Baltabaevich, Rina Suresh Patil

Published Online: 18 Mar 2026DOI: 10.47974/JIM-2496

In this paper: Fuzzy mathematical models assist physicians in making superior choices because of the ambiguity and inaccuracy of patient entries. This study aims at improving the performance of medical accuracy thro...

AbstractReferencesFull Text PDF (490 KB)Views: 229Downloads: 130Citations: 0
Open Access Research Article·pp. 627–635·Vol. 29, Issue 3Mar 2026

Applying control theory in engineering using dynamical systems methods

Chithirai Pon Selvan, Abhinav Shrivastava, Swaroop Ramaswamy, Kumari Shipra, Anorgul Ashirova, Kalyani Satone, S. Mohan Mahalakshmi Naidu

Published Online: 18 Mar 2026DOI: 10.47974/JIM-2497

In this paper: The control theory has significant applications in engineering since it provides us with structured approaches to examine and design nonlinear systems that are functional and remain stable. It is base...

AbstractReferencesFull Text PDF (361 KB)Views: 257Downloads: 146Citations: 0
Open Access Research Article·pp. 637–644·Vol. 29, Issue 3Mar 2026

Integrating AI-driven mathematical modeling for social and environmental impact assessment

Indrani Hazarika, Smita Gambhire, Robert Halam, Santosh H. Lavate

Published Online: 18 Mar 2026DOI: 10.47974/JIM-2498

In this paper: Through this research, a new method is presented that involves a sophisticated mathematical modeling and artificial intelligence (AI) in order to simplify the process of determining the influence that...

AbstractReferencesFull Text PDF (484 KB)Views: 211Downloads: 134Citations: 0
Open Access Research Article·pp. 645–653·Vol. 29, Issue 3Mar 2026

Exploring set theory and logic as foundations for explainable AI and knowledge representation

Deepali Mahesh Gohil, Ganesh Dagadu Puri, Sachin Arun Thanekar, Syed Sumera Ali, Vaibhav Arjunrao Parjane

Published Online: 18 Mar 2026DOI: 10.47974/JIM-2499

In this paper: In this research study, the importance of set theory and logic as the building blocks of artificial intelligence (AI) that can be explained and the representation of knowledge are examined. We render...

AbstractReferencesFull Text PDF (406 KB)Views: 229Downloads: 114Citations: 0
Open Access Research Article·pp. 655–662·Vol. 29, Issue 3Mar 2026

Mathematical foundations of neural networks for modeling human cognition in AI systems

Sulakshana Malwade, Santosh H. Lavate, Pradnya Borkar, Pundlik Dattatray Jadhav

Published Online: 18 Mar 2026DOI: 10.47974/JIM-2500

In this paper: In this paper it examines the mathematical principles of the neural networks and how these can be applied to simulate the thoughts of people in computer systems that are expected to be intelligent. Ce...

AbstractReferencesFull Text PDF (418 KB)Views: 245Downloads: 130Citations: 0
Open Access Research Article·pp. 663–670·Vol. 29, Issue 3Mar 2026

Analyzing nonlinear dynamical systems and chaos using machine learning in physical and biological systems

Gendlal Vaidya, Syed Mohd Uzair Iqbal, Mehraj Israr Khan, Kapil Gupta, Anorgul Ashirova, Shweta Goyal

Published Online: 18 Mar 2026DOI: 10.47974/JIM-2501

In this paper: Chaos and nonlinear dynamical systems are important for understanding complicated things that happen in biology and physics. The complexity and sensitivity to starting conditions of these systems make...

AbstractReferencesFull Text PDF (428 KB)Views: 235Downloads: 143Citations: 0
Open Access Research Article·pp. 671–679·Vol. 29, Issue 3Mar 2026

Set theory and logic-driven AI reasoning for decision-making systems

Pravin Mane, Dalwinder Kaur, Sagarkumar S. Badhiye, Archana R. Panhalkar, Anorgul Ashirova

Published Online: 18 Mar 2026DOI: 10.47974/JIM-2502

In this paper: In the systems making decisions, this paper examines the ability of set theory and logic to be combined as building blocks to AI-driven thinking. It is revealed that modeling any complex decision prob...

AbstractReferencesFull Text PDF (473 KB)Views: 288Downloads: 148Citations: 0
Open Access Research Article·pp. 681–692·Vol. 29, Issue 3Mar 2026

Derivation of theta-angle and geometric transformation for skew correction using homography matrix

Divya Sharma, Shilpa Sharma, Vaibhav Bhavnagar

Published Online: 18 Mar 2026DOI: 10.47974/JIM-2503

In this paper: Detecting tilted and skewed vehicle license plates is a significant challenge, often leading to reduced detection accuracy. Traditional detection models struggle with such variations, affecting the ef...

AbstractReferencesFull Text PDF (525 KB)Views: 194Downloads: 125Citations: 0
Open Access Research Article·pp. 693–700·Vol. 29, Issue 3Mar 2026

Fractional calculus applications in deep learning architectures

Chandrakant Deelip Kokane, Anjali S. More, Harsha Jitendra Sarode, Mandar K. Mokashi, Sonali Prashant Bhoite, Mahesh Ashok Bhandari

Published Online: 18 Mar 2026DOI: 10.47974/JIM-2504

In this paper: The study investigates the application of the concept of the addition of a deep learning system to fractional calculus (FC) in order to accelerate and generalize the learning process. We propose a dif...

AbstractReferencesFull Text PDF (488 KB)Views: 270Downloads: 155Citations: 0
Open Access Research Article·pp. 701–708·Vol. 29, Issue 3Mar 2026

Fixed-point theorems in training deep neural networks

Praniti Ram Patil, Suresh Singh Rajpurohit, Manthan Joshi, Harsha Dave, Aakash Mansaram Gojare, Ashwini Prasad Parkar

Published Online: 18 Mar 2026DOI: 10.47974/JIM-2505

In this paper: This paper discuss fixed-point theories can be used to train deep neural networks. We find a mathematical link between nonlinear analysis and learning dynamics by looking at neural network optimisatio...

AbstractReferencesFull Text PDF (447 KB)Views: 351Downloads: 134Citations: 0
Open Access Research Article·pp. 709–717·Vol. 29, Issue 3Mar 2026

Algebraic geometry approaches to 3D image reconstruction

Anil Laxmanrao Wakekar, Sheetal Patil, Varsha Kiran Bhosale, Egambergan Khudaynazarov, Nazokat Tukhtaeva, Shivkumar Karale

Published Online: 18 Mar 2026DOI: 10.47974/JIM-2507

In this paper: This article discusses about algebraic geometry-based methods for reconstructing three-dimensional (3D) images, focussing on how well they work to get around the problems that regular geometric and nu...

AbstractReferencesFull Text PDF (388 KB)Views: 257Downloads: 132Citations: 0
Open Access Research Article·pp. 719–727·Vol. 29, Issue 3Mar 2026

Harmonic analysis in speech recognition systems

Amol D. Gaikwad, Haripriya H. Kulkarni, Prashant Bansilal Patel, Vidula Sanjay Jape, Anagha Rahul Soman, Lalit R. Chudhari

Published Online: 18 Mar 2026DOI: 10.47974/JIM-2508

In this paper: This paper examines the way in which harmonic analysis can be applied to enhance the speech recognition systems. This is because speech patterns are nearly cyclic and therefore have basic frequencies...

AbstractReferencesFull Text PDF (394 KB)Views: 244Downloads: 214Citations: 0
Open Access Research Article·pp. 729–737·Vol. 29, Issue 3Mar 2026

Differential equation models for tumor growth dynamics

Pranay Kathade, Smita Gambhire, Swati Varma, Sheetal Patil, Sardor Sabirov, Shivkumar Karale

Published Online: 18 Mar 2026DOI: 10.47974/JIM-2509

In this paper: In medical field disease diagnosis the use of differential equations increase to analysis the increase patterns of tumours by representing the how cells is divide, nutrients movement, and the immune s...

AbstractReferencesFull Text PDF (588 KB)Views: 239Downloads: 170Citations: 0
Open Access Research Article·pp. 739–747·Vol. 29, Issue 3Mar 2026

Operator theory in quantum information processing

Chaitanya S. Kulkarni, Heena Kwatra, Nitin Dhawas, Ganesh Gandal, Sardor Sabirov, Gayatri Dattatraya Londhe, Fakhriddin Isaev

Published Online: 18 Mar 2026DOI: 10.47974/JIM-2510

In this paper: This paper looks at how operator theory can be used as a strict mathematical framework for processing quantum information. It discusses about how Hilbert spaces, spectral theory, and operator algebras...

AbstractReferencesFull Text PDF (575 KB)Views: 244Downloads: 113Citations: 0
Open Access Research Article·pp. 749–756·Vol. 29, Issue 3Mar 2026

Heat transfer modeling using fractional differential equations

Prashant Khobragade, Ganesh Gandal, Avinash Somatkar, Hrushikesh Madhukar Panchabudhe, Phatangare Prashant Ashok, Bekzod. Madaminov

Published Online: 18 Mar 2026DOI: 10.47974/JIM-2511

In this paper: This study looks into how fractional differential equations (FDEs) can be used to model heat transfer. FDEs are an extension of standard Fourier-based models that add memory and nonlocal effects. Frac...

AbstractReferencesFull Text PDF (412 KB)Views: 256Downloads: 145Citations: 0