Mathematics

Research Notes on Computing and Communication Sciences

Diverse Applications of Computational Techniques for Solving Differential Equations
Editors: Geeta Arora, PhD
Firdous Ahmad Shah, PhD

Diverse Applications of Computational Techniques for Solving Differential Equations

In production
Pub Date: Forthcoming May 2026
Hardback Price: $180 USD | £140 UK
Hard ISBN: 9781779644152
E-Book ISBN: 9781779644169
Pages: est. 274pp w index
Binding Type: Hardback / ebook
Series: Research Notes on Computing and Communication Sciences
Notes: 19 color and 72 b/w illustrations

In an era defined by rapid technological advancement and the increasing complexity of real-world problems, the role of computational techniques in solving differential equations has never been more critical. This new book, Diverse Applications of Computational Techniques for Solving Differential Equations, serves as a comprehensive resource, showcasing the versatility and effectiveness of various methodologies in addressing a wide range of applications across multiple disciplines.

The volume first delves into practical applications of differential equations in fields such as mechanical engineering, medical treatment strategies, thermoelasticity, and plasma physics. Each chapter highlights innovative approaches and algorithms tailored to specific challenges, demonstrating how mathematical modeling can lead to significant advancements in these areas. The authors, experts in their respective fields, provide insights that bridge theoretical concepts and real-world applications, offering readers a robust understanding of the subject matter.

The book then shifts its focus to analytical and numerical approaches that underpin the solutions of differential equations. A variety of methods are presented, ranging from the Reduced Differential Transform Method to the Galerkin Finite Element Approach. Each chapter not only elucidates the methodologies employed but also emphasizes the importance of these techniques in ensuring stability, accuracy, and efficiency in computational applications. The diversity of approaches discussed reflects the ongoing evolution of the field and the necessity for interdisciplinary collaboration in tackling complex scientific challenges.

Aiming to inspire researchers, practitioners, and students alike, the book encourages them to explore the profound implications of computational techniques in solving differential equations.

CONTENTS:
Preface

PART I: SOLVING DIFFERENTIAL EQUATIONS EXISTING IN DIFFERENT APPLICATIONS
1. Efficient Inverse Computer Algorithm for Solving Nonlinear Problems in Mechanical Engineering
Mudassir Shams, Nasreen Kausar, and Seyyed Ahmad Edalatpana

2. Applications of Differential Equations in Modeling for Optimal Treatment Strategies in Chronic Myeloid Leukemia
Anuj Kullu, Itishree Jena, and Anupam Priyadarshi

3. Analytical and Computational Methods for Research Advancements in the Field of Thermoelasticity
Navneet Kumar Lamba

4. Investigating Improved Electron Acceleration Using Laser Wakefield and Slanting Density Plasma Profiles Through Numerical Analysis
Jyoti Rajput and Jagnishan Singh

5. Study of Heat Exchanger Simulation Using Finite Difference and Option Pricing Equation Using Variable Separable Method
Sandeep Malhotra

PART II: ANALYTICAL AND NUMERICAL APPROACHES TO SOLVE DIFFERENTIAL EQUATIONS
6. Implementation of Reduced Differential Transform Method Upon Coupled Burgers’ Equations
Mamta Kapoor and Navdeep Singh

7. LMI Approach for Stability Analysis of Delay Differential Equations
Umesha V, Padmanabhan S, and Mahesh Kumar N

8. Semi-Analytical Solution of Dispersive KDV Equation Via the Yang Homotopy Perturbation Method
Geeta Arora and Mamta Kapoor

9. Solution of Differential Equations Using Differential Transform Method
Pratiksha Devshali

10. Simulation of Volterra Integro-Differential Equation with Delay Argument Via an Efficient Computational Hybrid Technique
Saloni Agrawal and Brajesh Kumar Singh

11. Convergence Analysis for Fractional-Order Neural Systems Via Sampling Time-Dependent Controller
N. Padmaja

12. Galerkin-Finite Element Approach for Groundwater Contaminant Transport Modeling in Porous Media
Rashmi Radha, Rakesh Kumar Singh, and Mritunjay Kumar Singh

13. RBF Integrated with ABC Optimization Approach to Solve the Fitzhugh-Naugmo Equation
Kiran Bala and Geeta Arora

14. Exploring Computational Techniques for Analyzing Predator-Prey Dynamics in a System with Two Prey Species and an Allee Effect
G. Santhosh Kumar and M. Aakash

Index


About the Authors / Editors:
Editors: Geeta Arora, PhD
Professor, Department of Mathematics, Lovely Professional University, Punjab, India

Geeta Arora, PhD, has over 12 years of teaching experience and is working as a Professor in the Department of Mathematics at Lovely Professional University, Punjab, India. She has published around 70 research papers (Scopus-indexed) in both international and national journals. She has also authored 15 book chapters in national and international publications and written a book on Vedic Mathematics and a book on Essential Statistics. She has also edited books on numerical methods with Taylor & Francis and IGI Global. She has published eight books with national publisher along with five ongoing books with national and international publishers. Her area of research is the development of numerical methods and statistics. She received research appreciation awards in 2017, 2019, and 2024 from Lovely Professional University. She has conducted several workshops on MATLAB and Vedic mathematics for students and faculty members within and outside the university campus. She has supervised nine PhD scholars and is currently guiding six PhD scholars. Dr. Arora earned her PhD degree from IIT Roorkee, India.


Firdous Ahmad Shah, PhD
Associate Professor, Department of Mathematics, University of Kashmir, South Campus, Anantnag, Jammu and Kashmir, India

Firdous Ahmad Shah, PhD, is an accomplished mathematician and Associate Professor at the Department of Mathematics, University of Kashmir, India. With a robust publication record of over 180 articles, Dr. Shah has made substantial strides in the field of mathematics, particularly in the realm of wavelet transforms. His work spans a diverse range of applications, showcased in his authored and co-authored books published by publishers such as CRC Press and Springer. Dr. Shahs influence extends beyond publications, as he has actively participated in numerous short-term courses and conferences, fostering knowledge dissemination. A member of various societies, Dr. Shahs dedication to advancing mathematical research is underscored by his involvement in six funded projects by the Indian Department of Science and Technology (DST). He has guided eight scholars, nurturing the next generation of mathematicians. Dr. Shah serves on the editorial board of 35 reputes journals.





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