Starting with an introduction to fractional derivatives and numerical approximations, this book presents finite difference methods for fractional differential equations, including time-fractional sub-diffusion equations, time-fractional wave equations, and space-fractional differential equations, am
Fractional Differential Equations: Finite Difference Methods
โ Scribed by Zhi-Zhong Sun; Guang-hua Gao; China Science Publishing & Media Ltd.
- Publisher
- De Gruyter
- Year
- 2020
- Tongue
- English
- Leaves
- 397
- Category
- Library
No coin nor oath required. For personal study only.
โฆ Synopsis
Starting with an introduction to fractional derivatives and numerical approximations, this book presents finite difference methods for fractional differential equations, including time-fractional sub-diffusion equations, time-fractional wave equations, and space-fractional differential equations, among others. Approximation methods for fractional derivatives are developed and approximate accuracies are analyzed in detail.
- A unique overview of finite difference methods for fractional differential equations.
- Supplied with numerous examples to facilitate understanding.
- Of interest to applied mathematicians and physicists as well as to engineers.
๐ SIMILAR VOLUMES
This is a book that approximates the solution of parabolic, first order hyperbolic and systems of partial differential equations using standard finite difference schemes (FDM). The theory and practice of FDM is discussed in detail and numerous practical examples (heat equation, convection-diffusion)
This is a book that approximates the solution of parabolic, first order hyperbolic and systems of partial differential equations using standard finite difference schemes (FDM). The theory and practice of FDM is discussed in detail and numerous practical examples (heat equation, convection-diffusion)
<p>This text will be divided into two books which cover the topic of numerical partial differential equations. Of the many different approaches to solving partial differential equations numerically, this book studies difference methods. Written for the beginning graduate student, this text offers a