<p>In these notes we study time-dependent partial differential equations and their numerical solution. The analytic and the numerical theory are developed in parallel. For example, we discuss well-posed linear and nonlinear problems, linear and nonlinear stability of difference approximations and er
Fractional Partial Differential Equations and Their Numerical Solutions
✍ Scribed by Boling Guo, Xueke Pu, Fenghui Huang
- Publisher
- World Scientific Publishing Co
- Year
- 2015
- Tongue
- English
- Leaves
- 347
- Category
- Library
No coin nor oath required. For personal study only.
✦ Synopsis
This book aims to introduce some new trends and results on the study of the fractional differential equations, and to provide a good understanding of this field to beginners who are interested in this field, which is the authors' beautiful hope. This book describes theoretical and numerical aspects of the fractional partial differential equations, including the authors' researches in this field, such as the fractional Nonlinear Schrödinger equations, fractional Landau Lifshitz equations and fractional Ginzburg Landau equations. It also covers enough fundamental knowledge on the fractional derivatives and fractional integrals, and enough background of the fractional PDEs.
✦ Subjects
Математика;Дифференциальные уравнения;Дифференциальные уравнения в частных производных;
📜 SIMILAR VOLUMES
<p>In these notes we study time-dependent partial differential equations and their numerical solution. The analytic and the numerical theory are developed in parallel. For example, we discuss well-posed linear and nonlinear problems, linear and nonlinear stability of difference approximations and er