Advances in Computational Methods and Modelling in Science and Engineering explores the application of computational techniques and modeling approaches in science and engineering, providing practical knowledge and skills for tackling complex problems using numerical simulations and data analysis. This book addresses the need for a cohesive and up-to-date resource in the rapidly evolving field of computational methods. It consolidates diverse topics, serving as a one-stop guide for individuals seeking a comprehensive understanding of the subject matter. Sections focus on mathematical techniques that provide global solutions for models arising in engineering and scientific research applications by considering their long-term benefits.

The mathematical treatment of these models is very helpful in understanding these models and their real-world applications. The methods and modeling techniques presented are useful for mathematicians, engineers, scientists, and researchers working on the mathematical treatment of models in a wide range of applications, including disciplines such as engineering, physics, chemistry, computer science, and applied mathematics.

Provides comprehensive coverage of computational methods and modeling techniques applicable to science and engineering
Emphasizes practical application by providing real-world examples
Offers practical guidance and step-by-step examples to help readers overcome challenges related to implementing algorithms, interpreting results, and effectively applying computational methods in their work

Table of Contents:

Part A: Computational Methods
1. Exploring new Travelling and Solitary Wave Solutions of Conformable Fractional (3+1)-D BLMP Differential Equations
2. Numerical Investigation of Fractional-order Brain Tumor Growth Model via Fibonacci Wavelets
3. Application of Dynamical System Analysis in Cosmology
4. Polynomial Based Fractional Methods of Wavelets and Their Applications
5. A Numerical Study of Exponential Modified Cubic B-Spline For Solving Nonlinear Fisher’s Equation
6. Numerical Solution of Symmetric Regularised Long Wave Equation Arising in Mathematical Physics
7. Comparison of exponential and trigonometric B-spline collocation technique for simulation of singular perturbed delay differential equation
8. A systematic study on diversified Newtonian and Non-Newtonian fluids via numerous Mathematical Techniques
9. Computational analysis for the stress- strength on the reliability model
10. Instability of Casson fluid-viscous fluid interface
11. Remarks on nonlinear fractional differential equations
12. Exploring Chaotic Dynamics in a Modified Fractional System with Atangana-Baleanu Operator
13. Impact of viscous correction on the viscoelastic potential flow analysis of the Rayleigh-Taylor instability
14. Finite Element Modeling of MHD Flow in Alveolar Ducts

Part B: Mathematical Modelling and Optimization
15. The Fractional Order Lotka Volterra Competition Model: An Analysis with Additive Allee Effect
16. Modeling and Analyzing Delay in Plant Responses Under Toxicity
17. A Mathematical Study on the Effect of Coral-Algal Competition under Environmental Pressures in Aquatic Ecosystem
18. Effect of Time Delay on Directional and Stability analysis of Plant Competition for Allelochemicals Study
19. Harnessing the potentials of Machine Learning Models in Alzheimer Disease Prediction and Detection
20. Impact of deforestation and environmental degradation on Nipah virus outbreak: A critical review
21. Current Advances In Data-Driven Modeling And Computational Tools For Novel Materials
22. Onset of bioconvection in the presence of magnetic nanoparticles and gyrotactic microorganisms in porous media
23. Predicting Diabetes Using Artificial Neural Networks (ANN) and K-Nearest Neighbors (KNN)
24. Real Coded GA for Finding Stable Structure of Two Small Molecules
25. Cost Optimization of a Batch Retrial Queue with Working Vacation
26. Future Now: Unleashing the potentials of Machine Learning in 6G