| Tartalom: |
http://real.mtak.hu/65174/ |
| Archívum: |
MTA Könyvtár |
| Gyűjtemény: |
Status = Published
Type = Article
|
| Cím: |
CONVERGENCE OF THE MATRIX TRANSFORMATION METHOD FOR THE FINITE DIFFERENCE APPROXIMATION OF FRACTIONAL ORDER DIFFUSION PROBLEMS
|
| Létrehozó: |
Szekeres, BĂ©la
Izsák, Ferenc
|
| Kiadó: |
Springer
|
| Dátum: |
2017
|
| Téma: |
QA74 Analysis / analĂzis
|
| Tartalmi leírás: |
Numerical solution of fractional order diffusion problems with homogeneous Dirichlet boundary conditions is investigated on a square domain. An appropriate extension
is applied to have a well-posed problem on R 2 and the solution on the square is regarded as a localization. For the numerical approximation a finite difference method is applied combined with the matrix transformation method. Here the discrete fractional Laplacian is approximated with a matrix power instead of computing the complicated approxima-
tions of fractional order derivatives. The spatial convergence of this method is proved and demonstrated in some numerical experiments.
|
| Nyelv: |
magyar
|
| Típus: |
Article
PeerReviewed
info:eu-repo/semantics/article
|
| Formátum: |
text
|
| Azonosító: |
Szekeres, Béla and Izsák, Ferenc (2017) CONVERGENCE OF THE MATRIX TRANSFORMATION METHOD FOR THE FINITE DIFFERENCE APPROXIMATION OF FRACTIONAL ORDER DIFFUSION PROBLEMS. APPLICATIONS OF MATHEMATICS, 62 (1). pp. 15-36. ISSN 1572-9109 (Online)
|
| Kapcsolat: |
|
| Létrehozó: |
info:eu-repo/semantics/openAccess
|
