Finite Difference Methods for Nonlinear Evolution Equations - Zhi-Zhong Sun,Qifeng Zhang,Guang-hua Gao,China Science Publishing & Media Ltd.
Zhi-Zhong Sun, Qifeng Zhang, Guang-hua Gao, China Science Publishing & Media Ltd.
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Nonlinear evolution equations are widely used to describe nonlinear phenomena in nature and social sciences. However, they usually are quite difficult to solve in most instances. This book gives the finite difference methods for solving nonlinear evolution equations. The main numerical analysis tool is the energy method. This book considers the difference methods for the initial-boundary value problems of t ... Full description
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Description
Nonlinear evolution equations are widely used to describe nonlinear phenomena in nature and social sciences. However, they usually are quite difficult to solve in most instances. This book gives the finite difference methods for solving nonlinear evolution equations. The main numerical analysis tool is the energy method.
This book considers the difference methods for the initial-boundary value problems of twelve nonlinear partial differential equations. They are Fisher equation, Burgers' equation, regular 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.
More Information
| Author | Zhi-Zhong Sun, Qifeng Zhang, Guang-hua Gao, China Science Publishing & Media Ltd. |
|---|---|
| Publisher | Walter de Gruyter GmbH |
| Release year | 2023 |
| Cover type | Hardcover |
| EAN | 9783110795851 |