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Finite Difference Methods for Nonlinear Evolution Equations Zhi-Zhong Sun, Qifeng Zhang, Guang-hua Gao, China Science Publishing & Media Ltd..

By: Contributor(s): Material type: TextLanguage: Series: De Gruyter Series in Applied and Numerical Mathematics ; 8Publisher: Berlin Boston De Gruyter, [2023]Copyright date: ©2023Description: 1 online resource (XIV, 418 p.)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783110796018
Subject(s): Additional physical formats: No title; No titleOnline resources: Available additional physical forms:
  • Issued also in print.
Contents:
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
Title is part of eBook package: DG Plus DeG Package 2023 Part 1 De GruyterTitle is part of eBook package: eBook Package Mathematics 2023 / eBook-Paket Mathematik 2023 De GruyterTitle is part of eBook package: eBook Package Complete 2023 / eBook-Paket Gesamt 2023 De GruyterTitle is part of eBook package: eBook Package Mathematics 2023 English / eBook-Paket Mathematik 2023 Englisch De GruyterTitle is part of eBook package: eBook Package Complete 2023 English / eBook-Paket Gesamt 2023 Englisch De GruyterTitle is part of eBook package: EBOOK PACKAGE Mathematics 2023 DGB - ALL LANG De GruyterTitle is part of eBook package: EBOOK PACKAGE Mathematics 2023 DGB - ENG De GruyterSummary: 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.
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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

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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.

Issued also in print.

The accessibility of this resources in unknown or unassessed.

Mode of access: Internet via World Wide Web.

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

In English.

Description based on online resource; title from PDF title page (publisher's Web site, viewed March 03 2026)

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