Finite Difference Methods for Nonlinear Evolution Equations

Zhi-Zhong Sun, Qifeng Zhang, Guang-hua Gao

ISBN 10: 311079585X / ISBN 13: 9783110795851

Published by De Gruyter, DE, 2023

About this Item

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.

Seller Inventory # LU-9783110795851

Bibliographic Details

• Title: Finite Difference Methods for Nonlinear Evolution Equations
• Publisher: De Gruyter, DE
• Publication Date: 2023
• Language: English
• ISBN 10: 311079585X
• ISBN 13: 9783110795851
• Binding: Hardback
• Edition: 1st.
• Condition: New
• Dimensions: 6.69W x 0.94H x 9.61D inches 6.69 inches width by 0.94 inches height by 9.61 inches depth
• Weight: 846 grams

About this title

Synopsis

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.

About the Author

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