Finite Difference Methods for Nonlinear Evolution Equations

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

ISBN 10: 311079585X / ISBN 13: 9783110795851

Verlag: De Gruyter, DE, 2023

Beschreibung

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.

Bestandsnummer des Verkäufers LU-9783110795851

Bibliografische Details

• Titel: Finite Difference Methods for Nonlinear Evolution Equations
• Verlag: De Gruyter, DE
• Erscheinungsjahr: 2023
• Sprache: Englisch
• ISBN-10: 311079585X
• ISBN-13: 9783110795851
• Einband: Hardback
• Auflage: 1st.
• Zustand: New
• Abmessungen: 6,69B x 0,94 H x 9,61 T Zoll Breite: 6,69 Zoll, Höhe: 0,94 Zoll, Tiefe: 9,61 Zoll
• Gewicht: 846 Gramm

Über diesen Titel

Inhaltsangabe

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.

Über die Autorin bzw. den Autor

Zhi-zhong Sun, Southeast University, China