Integral and Integro-Differential Equations
eBook - ePub

Integral and Integro-Differential Equations

Wavelet-Based Numerical Methods

  1. English
  2. ePUB (mobile friendly)
  3. Available on iOS & Android
eBook - ePub

Integral and Integro-Differential Equations

Wavelet-Based Numerical Methods

About this book

This book provides a comprehensive study of numerical techniques for solving integral and integro-differential equations using wavelet-based approximation methods. It combines both theoretical insights and practical applications, focusing on integer- and fractional-order equations, including those with weakly singular kernels. Starting with key definitions and theorems from integral equations and fractional calculus, the book establishes a clear mathematical framework. It then introduces wavelet-based schemes for approximating solutions, with a particular focus on convergence, stability, and error analysis. Each chapter is enriched with numerical examples, graphs, and tables that demonstrate the accuracy and computational efficiency of the proposed methods.

Features

  • Employs wavelet approximation methods to solve a wide range of integral and integro-differential equations
  • Expands the scope of applicable equations by covering both classical and fractional-order models
  • Illustrates the effectiveness of wavelet methods in handling weakly singular kernels through worked-out examples
  • Provides rigorous theoretical validation for the accuracy and reliability of each method.

This book is intended for postgraduate students, researchers, and professionals in mathematics, engineering, and applied sciences who seek modern computational techniques for solving integral and integro-differential equations.

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Yes, you can access Integral and Integro-Differential Equations by Santanu Saha Ray,Srikanta Behera in PDF and/or ePUB format, as well as other popular books in Mathematics & Applied Mathematics. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Chapman and Hall/CRC
Year
2025
eBook ISBN
9781040439142
Topic
Mathematics
Subtopic
Applied Mathematics
Index
Mathematics

Table of contents

  1. Cover
  2. Half Title
  3. Title Page
  4. Copyright Page
  5. Table of Contents
  6. Author Biography
  7. Preface
  8. Chapter 1 Preliminaries of Integral Equations and Fractional Calculus
  9. Chapter 2 Wavelet Methods
  10. Chapter 3 Numerical Solutions of Two-Dimensional Fredholm Integral Equations of the Second Kind
  11. Chapter 4 Numerical Solutions of Two-Dimensional Volterra Integral Equations
  12. Chapter 5 Numerical Solutions of Linear and Nonlinear Volterra Integro-Differential Equations
  13. Chapter 6 Numerical Solutions of Volterra Weakly Singular Partial Integro-Differential Equations
  14. Chapter 7 Numerical Solutions of Pantograph Volterra Delay-Integro-Differential Equations
  15. Chapter 8 Numerical Solutions of Fractional-Order Integro-Differential Equations with Weakly Singular Kernels
  16. Chapter 9 Numerical Solutions of Fractional-Order Integro-Differential Equations
  17. Index