Finite Difference Methods for Nonlinear Evolution Equations / / Zhi-Zhong Sun, Qifeng Zhang, Guang-hua Gao.

• Superior document: Title is part of eBook package: De Gruyter DG Plus DeG Package 2023 Part 1
• VerfasserIn: Sun, Zhi-Zhong,; Gao, Guang-hua,; Zhang, Qifeng,
• MitwirkendeR: China Science Publishing & Media Ltd.,
• Place / Publishing House: Berlin ;, Boston : : De Gruyter, , [2023]; ©2023
• Year of Publication: 2023
• Language: English
• Series: De Gruyter Series in Applied and Numerical Mathematics , 8
• Physical Description: 1 online resource (XIV, 418 p.)
• Other title: Frontmatter --; Preface --; About the Authors --; Contents --; 1 Difference methods for the Fisher equation --; 2 Difference methods for the Burgers’ equation --; 3 Difference methods for the regularized long-wave equation --; 4 Difference methods for the Korteweg–de Vries equation --; 5 Difference methods for the Camassa–Holm equation --; 6 Difference methods for the Schrödinger equation --; 7 Difference methods for the Kuramoto–Tsuzuki equation --; 8 Difference methods for the Zakharov equation --; 9 Difference methods for the Ginzburg–Landau equation --; 10 Difference methods for the Cahn–Hilliard equation --; 11 Difference methods for the epitaxial growth model --; 12 Difference methods for the phase field crystal model --; Bibliography --; Index
• Format: Mode of access: Internet via World Wide Web.
• ISBN: 9783110796018; 9783111175782; 9783111319292; 9783111318912; 9783111319209; 9783111318608
• ISSN: 2512-1820
• DOI: 10.1515/9783110796018
• Access: restricted access
• Hierarchical level: Monograph
• Statement of Responsibility: Zhi-Zhong Sun, Qifeng Zhang, Guang-hua Gao.

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.