Finite difference methods for nonlinear evolution equations / Zhi-Zhong Sun, Qifeng Zhang, Guang-hua Gao.

Format:

Book

Author/Creator:

Sun, Zhi-Zhong, author.

Zhang, Qifeng, author.

Gao, Guang-hua, author.

Series:

De Gruyter series in applied and numerical mathematics ; 2512-1847 v. 8.

De Gruyter series in applied and numerical mathematics, 2512-1847 ; volume 8

Language:

English

Subjects (All):

Evolution equations, Nonlinear--Numerical solutions.

Evolution equations, Nonlinear.

Finite differences.

Physical Description:

1 online resource (xiv, 416 pages) : illustrations, portraits

Edition:

1st ed.

Place of Publication:

Berlin ; Boston : Walter de Gruyter GmbH ; Beijing : China Science Publishing & Media Ltd, [2023].

Summary:

"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."--Provided by publisher.

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.

Notes:

International Standard Serial Number (ISSN) listed on title page verso is for the print series.

Includes bibliographical references (pages 411-413) and index.

Description based on online resource (viewed 17 Jan 2024), publisher supplied metadata and other sources.

Description based on publisher supplied metadata and other sources.

OCLC:

1376931617