| Authors | Jalil Rashidinia- Mohammad Navaz Rasoulizadeh |
|---|---|
| Journal | .TWMS J. App. and Eng. Math |
| Page number | 893-905. |
| Serial number | 3 |
| Volume number | 11 |
| Paper Type | Full Paper |
| Published At | 2021-09-01 |
| Journal Grade | ISI |
| Journal Type | Electronic |
| Journal Country | Turkey |
| Journal Index | Scopus |
Abstract
Accuracy of radial basis functions (RBFs) is increased as the shape parameter decreases and produces an ill-conditioned system. To overcome such difficulty, the global stable computation with Gaussian radial basis function-QR (RBF-QR) method was introduced for a limited number of nodes. The main aim of this work is to develop the stable RBF-QR-FD method in order to obtain numerical solutions for the (1 + 2)-dimensional nonlinear sinh-Gordon (ShG) equation. The efficiency and accuracy of the
presented approach are tested by three examples. A comparison between our results and the three methods such as, RBFs collocation based on Kansa’s (RBFK) approach, RBF-Pseudo spectral (RBFPS) and moving least squares (MLS) methods are shown. Furthermore, the stability analysis is proven.