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Finite Difference Methods for Nonlinear Evolution Equations by Zhi-Zhong Sun

Finite Difference Methods for Nonlinear Evolution Equations

by Zhi-Zhong Sun , Qifeng Zhang , Guang-Hua Gao
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Book cover type: Hardcover
  • ISBN13: 9783110795851
  • Binding: Hardcover
  • Subject: N/A
  • Publisher: de Gruyter
  • Publisher Imprint: de Gruyter
  • Publication Date:
  • Pages: 432
  • Original Price: GBP 132.0
  • Language: English
  • Edition: N/A
  • Item Weight: 885 grams
  • BISAC Subject(s): Numerical Analysis

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.

Zhi-Zhong Sun, Southeast University; Qifeng Zhang, Zhejiang Sci-Tech University; Guang-hua Gao, Nanjing University, China.

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