Finite Difference Methods for Nonlinear Evolution Equations

Zhi-Zhong Sun, Qifeng Zhang, Guang-hua Gao , China Science Publishing & Media Ltd.

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English

De Gruyter
08 May 2023

Mathematics; Calculus & mathematical analysis; Differential calculus & equations; Numerical analysis

Series: De Gruyter Series in Applied and Numerical Mathematics

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.

By: Zhi-Zhong Sun, Qifeng Zhang, Guang-hua Gao
Contributions by: China Science Publishing & Media Ltd.
Imprint: De Gruyter
Country of Publication: Germany
Dimensions: Height: 240mm, Width: 170mm,
Weight: 846g
ISBN: 9783110795851
ISBN 10: 311079585X
Series: De Gruyter Series in Applied and Numerical Mathematics
Pages: 432
Publication Date: 08 May 2023
Audience: Professional and scholarly , Undergraduate
Format: Hardback
Publisher's Status: Active

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