Finite Difference Methods for Nonlinear Evolution Equations
eBook - ePub

Finite Difference Methods for Nonlinear Evolution Equations

  1. 432 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Finite Difference Methods for Nonlinear Evolution Equations

About this book

Nonlinear evolution equations are widely used to describe nonlinear phenomena in natural and social sciences. However, they are usually quite difficult to solve in most instances. This book introduces the finite difference methods for solving nonlinear evolution equations. The main numerical analysis tool is the energy method. This book covers the difference methods for the initial-boundary value problems of twelve nonlinear partial differential equations. They are Fisher equation, Burgers' equation, regularized long-wave equation, Korteweg-de Vries equation, Camassa-Holm equation, Schrödinger equation, Kuramoto-Tsuzuki equation, Zakharov equation, Ginzburg-Landau equation, Cahn-Hilliard equation, epitaxial growth model and phase field crystal model. This book is a monograph for the graduate students and science researchers majoring in computational mathematics and applied mathematics. It will be also useful to all researchers in related disciplines.

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Yes, you can access Finite Difference Methods for Nonlinear Evolution Equations by Zhi-Zhong Sun,Qifeng Zhang,Guang-hua Gao in PDF and/or ePUB format, as well as other popular books in Mathematics & Differential Equations. We have over one million books available in our catalogue for you to explore.

Information

Publisher
De Gruyter
Year
2023
Print ISBN
9783110795851
eBook ISBN
9783110796117

Table of contents

  1. Title Page
  2. Copyright
  3. Contents
  4. 1 Difference methods for the Fisher equation
  5. 2 Difference methods for the Burgers’ equation
  6. 3 Difference methods for the regularized long-wave equation
  7. 4 Difference methods for the Korteweg–de Vries equation
  8. 5 Difference methods for the Camassa–Holm equation
  9. 6 Difference methods for the Schrödinger equation
  10. 7 Difference methods for the Kuramoto–Tsuzuki equation
  11. 8 Difference methods for the Zakharov equation
  12. 9 Difference methods for the Ginzburg–Landau equation
  13. 10 Difference methods for the Cahn–Hilliard equation
  14. 11 Difference methods for the epitaxial growth model
  15. 12 Difference methods for the phase field crystal model
  16. Subject Index