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.
eBook - ePub
Finite Difference Methods for Nonlinear Evolution Equations
- 432 pages
- English
- ePUB (mobile friendly)
- Available on iOS & Android
eBook - ePub
Finite Difference Methods for Nonlinear Evolution Equations
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Table of contents
- Title Page
- Copyright
- Contents
- 1âDifference methods for the Fisher equation
- 2âDifference methods for the Burgersâ equation
- 3âDifference methods for the regularized long-wave equation
- 4âDifference methods for the Kortewegâde Vries equation
- 5âDifference methods for the CamassaâHolm equation
- 6âDifference methods for the Schrödinger equation
- 7âDifference methods for the KuramotoâTsuzuki equation
- 8âDifference methods for the Zakharov equation
- 9âDifference methods for the GinzburgâLandau equation
- 10âDifference methods for the CahnâHilliard equation
- 11âDifference methods for the epitaxial growth model
- 12âDifference methods for the phase field crystal model
- Subject Index
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Yes, you can access Finite Difference Methods for Nonlinear Evolution Equations by Zhi-Zhong Sun,Qifeng Zhang,Guang-hua Gao in PDF and/or ePUB format, as well as other popular books in Mathematics & Differential Equations. We have over one million books available in our catalogue for you to explore.