Advanced Computational and Mathematical Approaches in Applied Differential Equations
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Product details:
- Publisher Elsevier Science
- Date of Publication 1 October 2026
- ISBN 9780443457432
- Binding Paperback
- No. of pages250 pages
- Size 235x191 mm
- Weight 450 g
- Language English 700
Categories
Long description:
Advanced Computational and Mathematical Approaches in Applied Differential Equations explores cutting-edge techniques and methodologies in solving complex differential equations, a cornerstone of mathematical modeling across science and engineering. The book bridges theory and application, offering advanced computational strategies and innovative mathematical insights to address real-world problems. Beginning with an overview that presents a unified framework that defines the types of differential equations covered (e.g. ordinary, partial, fractional, fuzzy), the book then progresses to foundations and methods such as Lie symmetries, homotropy, Adomian, FEM, FDM, spectral, machine learning, fuzzy, and fractional derivatives, addressing both computational and mathematical dimensions.
Differential equations are fundamental to modeling complex systems, yet solving them often involves significant challenges due to their complexity and nonlinearity. The book equips readers with advanced tools and methodologies to overcome these challenges, providing innovative solutions that improve accuracy, efficiency, and applicability in real-world scenarios. Ideal for researchers, practitioners, and advanced students, it provides a comprehensive resource for tackling challenging applied differential equations with better precision and efficiency.
Table of Contents:
1. Introduction to Differential Equations in Applied Mathematics (Overview of Types of Differential Equations, Methods, and Applications)
Part I. Methods for Solving Differential Equations
2. Computational Methods for Partial Differential Equations
3. Computational PDEs Using Finite Element Method (FEM)
4. Hyperbolic Partial Differential Equations
5. Lie Group and Spectral Analysis in Differential Equations
Part II. Applications in Various Fields
6. Peristaltic Propulsion of Jeffrey Nanofluid
7. Fuzzy Structural Analysis Problems
8. MHD-Casson Hybrid Nanofluid Flow Over a Permeable Stretching Sheet
9. Effects of Variable Viscosity and Thermal Conductivity on Forced Convection in Bidisperse Porous Medium
10. Jeffrey Fluid Flow in a Sloping Channel
11. Computational Fluid Dynamics
12. Wave Equation with Fuzzy Parameters
13. Mathematical Model of Flowing Channel/Tube with Permeability and Nonuniformity
14. Heat and Mass Transfer
15. Chaotic Dynamics in the Fractional-Order Chua’s Attractor Model
16. McKendrick-von Foerster Equation with Diffusion
17. Free Vibration Analysis of Functionally Graded Sandwich Plates
