Name
Abstract | ||
|---|---|---|
We propose a Kansa-radial basis function (RBF) collocation method for the solution of 2D and 3D high order (i.e. of order 2N where N is an element of N, N >= 3) boundary value problems (BVPs) in multiply connected domains. These problems include N boundary conditions (BCs), and thus we need to select N distinct sets of boundary centres. One set is positioned on the physical boundary of the problem while the rest are placed outside the exterior boundary of the domain. The efficacy of the proposed approach is demonstrated by applying it to a 2D and a 3D high order BVP in multiply connected domains. (C) 2021 Elsevier Ltd. All rights reserved. |
Year | DOI | Venue |
|---|---|---|
2022 | 10.1016/j.aml.2021.107711 | APPLIED MATHEMATICS LETTERS |
Keywords | DocType | Volume |
RBFs, Kansa method, High order PDEs, Fictitious point method, Multiquadrics, Multiply connected domains | Journal | 125 |
ISSN | Citations | PageRank |
0893-9659 | 0 | 0.34 |
References | Authors | |
0 | 3 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Andreas Karageorghis | 1 | 204 | 47.54 |
| Amir Noorizadegan | 2 | 0 | 0.34 |
| C. S. Chen | 3 | 0 | 1.35 |