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Fractional Differential Equations: Finite Difference Methods

โœ Scribed by Zhi-Zhong Sun, Guang-hua Gao

Publisher
De Gruyter
Year
2020
Tongue
English
Leaves
397
Category
Library
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โœฆ 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.

โœฆ Table of Contents

Preface
Contents
1 Fractional derivatives and numerical approximations
2 Difference methods for the time-fractional subdiffusion equations
3 Difference methods for the time-fractional wave equations
4 Difference methods for the space-fractional partial differential equations
5 Difference methods for the time-space-fractional differential equations
6 Difference methods for the time distributed-order subdiffusion equations
A The Matlab code of sum-of-exponentials approximations for the kernel tโˆ’ฮฑ in the Caputo fractional derivative
Bibliography
Index

๐Ÿ“œ SIMILAR VOLUMES

Fractional Differential Equations: Finit
๐Ÿ“ Fractional Differential Equations: Finite Difference Methods
โœ Zhi-Zhong Sun; Guang-hua Gao; China Science Publishing & Media Ltd. ๐Ÿ“‚ Library ๐Ÿ“… 2020 ๐Ÿ› De Gruyter ๐ŸŒ English

<p>Starting with an introduction to fractional derivatives and numerical approximations, this book presents finite difference methods for fractional differential equations, including<a> time-fractional sub-diffusion equations</a>, time-fractional wave equations, and space-fractional differential equ

Numerical Partial Differential Equations
๐Ÿ“ Numerical Partial Differential Equations: Finite Difference Methods
โœ J.W. Thomas ๐Ÿ“‚ Library ๐Ÿ“… 1995 ๐Ÿ› Springer ๐ŸŒ English

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)

Numerical Partial Differential Equations
๐Ÿ“ Numerical Partial Differential Equations: Finite Difference Methods
โœ J.W. Thomas ๐Ÿ“‚ Library ๐Ÿ“… 1999 ๐Ÿ› Springer ๐ŸŒ English

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)

Numerical Partial Differential Equations
๐Ÿ“ Numerical Partial Differential Equations: Finite Difference Methods
โœ J. W. Thomas (auth.) ๐Ÿ“‚ Library ๐Ÿ“… 1995 ๐Ÿ› Springer-Verlag New York ๐ŸŒ English

<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