Advanced Computational Techniques in Mathematics

Mathematical modeling and computational techniques are crucial for solving complex real-world problems across diverse domains. This book presents cutting-edge research in applied mathematics, covering topics such as fractional differential equations, fuzzy numerical techniques, nonlinear programming, disease modeling, social network analysis, deep learning, and optimization algorithms. It provides rigorous mathematical formulations, algorithmic implementations, and real-world applications in agriculture, medicine, environmental sciences, and engineering. Readers will gain insights into innovative problem-solving approaches, from stability analysis and bifurcations to AI-driven disease detection and forensic analysis. With a balance of theoretical foundations and practical applications, this volume is an essential resource for researchers, academics, and professionals seeking to advance their understanding of modern mathematical techniques and computational advancements.

1. Dr. Sandeep Singh is an Associate Professor in the Department of Mathematics at Akal University, Talwandi Sabo, Bathinda, Punjab, India. He earned his Ph.D. in Group Theory from Thapar University, Patiala, and was a postdoctoral fellow at IIT Roorkee under the SERB-NPDF program. Dr. Singh's research focuses on Group Theory, Automorphism Groups, Number Theory, Sum-Set Problems, and Optimization Techniques. He has published over 30 research articles in reputed international journals and edited four books. A recipient of CSIR Junior and Senior Research Fellowships, he has presented his work at numerous international conferences with travel support from DST, India. With over a decade of teaching and research experience, he has supervised three Ph.D. students and is currently guiding four more, along with mentoring several Master's students.
2. Dr. Bharat Bhushan is currently working as an Assistant Professor in the Department of Mathematics at Akal University, Talwandi Sabo, Punjab, India. Dr. Bhushan completed his Ph.D. in Mathematics from Punjabi University, Patiala under Dr. Deepak Kumar, and holds an M.Sc. in Mathematics with a focus on Operations Research, Analysis, Topology, and Algebra. His research interests include Algebra, Derivations in Rings, commutative algebra with endomorphisms, and differential equations. An experienced educator, he has taught courses such as Linear Algebra, Modern Algebra, Real Analysis, and Mathematics for Artificial Intelligence, and has multiple publications in SCI and Scopus-indexed journals.
 3. Dr. Sandeep Malik is an Assistant Professor in the Department of Mathematics at Akal University, Talwandi Sabo, Bathinda, Punjab, India. He obtained his Ph.D. in Applied Mathematics from the Central University of Punjab, Bathinda, Punjab. Dr. Malik has actively participated in numerous international conferences and workshops. He has authored more than 40 research articles published in peer-reviewed journals, with his work receiving over 800 citations and an H-index of 17 (Scopus). Dr. Malik’s research interests include investigating the integrability, phase portraits, bifurcation analysis and to derive the soliton solutions of nonlinear partial differential equations.
4. Prof. Aliakbar Montazer Haghighi is a Professor of Mathematics at Prairie View A&M University, Texas, USA. He is the co-founder and Editor-in-Chief of Applications and Applied Mathematics: An International Journal (AAM). He earned his Ph.D. from Case Western Reserve University and has held academic positions at Prairie View A&M University, Benedict College, and the National University of Iran. Prof. Haghighi served as Head of the Mathematics Department (2002–2021) and contributed to various academic committees. He has received multiple awards, including the Excellence in Research Award and the Life-Time Honor Award from Marquis Who's Who. He has authored several books with Springer and CRC Press and is a life member of the American Mathematical Society. His research is supported by various grants.
5. Prof. Dr. Ömer Kişi is a distinguished mathematician affiliated with Bartın University, Turkey. His research interests lie in operator algebras, functional analysis, and sequence spaces, with a particular focus on statistical convergence, fuzzy normed spaces, and neutrosophic analysis. He has made significant contributions to the field through numerous publications, including studies on arithmetic statistically convergent double sequences in intuitionistic fuzzy normed spaces and neutrosophic I-statistically convergent sequences. His work has played a crucial role in advancing the mathematical understanding of these complex topics.