Fourier Methods in Science and Engineering
eBook - ePub

Fourier Methods in Science and Engineering

  1. 324 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Fourier Methods in Science and Engineering

About this book

This innovative book discusses and applies the generalized Fourier Series to a variety of problems commonly encountered within science and engineering, equipping the readers with a clear pathway through which to use the Fourier methods as a solution technique for a wide range of differential equations and boundary value problems.

Beginning with an overview of the conventional Fourier series theory, this book introduces the generalized Fourier series (GFS), emphasizing its notable rate of convergence when compared to the conventional Fourier series expansions. After systematically presenting the GFS as a powerful and unified solution method for ordinary differential equations and partial differential equations, this book expands on some representative boundary value problems, diving into their multiscale characteristics.

This book will provide readers with the comprehensive foundation necessary for solving a wide spectrum of mathematical problems key to practical applications. It will also be of interest to researchers, engineers, and college students in various science, engineering, and mathematics fields.

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Yes, you can access Fourier Methods in Science and Engineering by Wen L. Li,Weiming Sun,Wen Li in PDF and/or ePUB format, as well as other popular books in Technology & Engineering & Mechanical Engineering. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Cover Page
  2. Half-Title Page
  3. Title Page
  4. Copyright Page
  5. Contents
  6. Preface
  7. Acknowledgments
  8. Authors
  9. Chapter 1 Introduction
  10. Chapter 2 Fourier Series Expansions of Functions
  11. Chapter 3 The Generalized Fourier Series with Accelerated Convergence
  12. Chapter 4 The Generalized Fourier Series Solutions of the Euler-Bernoulli Beam Equation
  13. Chapter 5 Fourier Series for the Derivatives of One-Dimensional Functions
  14. Chapter 6 Fourier Series for the Partial Derivatives of Two-Dimensional Functions
  15. Chapter 7 The Generalized Fourier Series of Functions
  16. Chapter 8 The Generalized Fourier Series of Two-Dimensional Functions
  17. Chapter 9 Multiscale Fourier Series Methods for Linear Differential Equations
  18. Chapter 10 Multiscale Fourier Series Method for the Convection-Diffusion-Reaction Equation
  19. Chapter 11 Bending of Thick Plates on Elastic Foundations
  20. Chapter 12 Wave Propagation in Elastic Waveguides
  21. Index