Preface

Chapters in this book

1. Frontmatter I
2. Preface V
3. Contents IX
4. Fundamental approaches for the numerical handling of fractional operators and time-fractional differential equations 1
5. Time-fractional derivatives 23
6. High-order finite difference methods for fractional partial differential equations 49
7. Spectral methods for some kinds of fractional differential equations 101
8. Spectral methods for fractional differential equations using generalized Jacobi functions 127
9. Spectral and spectral element methods for fractional advection–diffusion–reaction equations 157
10. Discontinuous Galerkin and finite element methods 185
11. Numerical methods for time-space fractional partial differential equations 209
12. Comparison of two radial basis collocation methods for Poisson problems with fractional Laplacian 249
13. Particle tracking solutions of vector fractional differential equations: A review 275
14. Singularities 287
15. Fast numerical methods for space-fractional partial differential equations 307
16. Fast methods for the computation of the Mittag-Leffler function 329
17. Index 347