Numerical solution of Coupled Viscous Burgers’ equations using RBF-QR method
We devoted the numerical solution of one-dimensional Coupled Viscous Burgers’ (CVB) equations with RBF-QR method to show how it overcomes the ill-conditioning of coefficient matrix in comparison with GA and MQ RBFs for small values of shape parameters. Then we use a strategy to modify LOOCV for sele...
Gespeichert in:
Veröffentlicht in: | Mathematical Sciences 2023-09, Vol.17 (3), p.317-324 |
---|---|
Hauptverfasser: | , |
Format: | Artikel |
Sprache: | eng |
Schlagworte: | |
Online-Zugang: | Volltext |
Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
Zusammenfassung: | We devoted the numerical solution of one-dimensional Coupled Viscous Burgers’ (CVB) equations with RBF-QR method to show how it overcomes the ill-conditioning of coefficient matrix in comparison with GA and MQ RBFs for small values of shape parameters. Then we use a strategy to modify LOOCV for selecting optimal value of shape parameter. Accuracy of the method is obtained in terms of shape parameter, time step size and error norms. The numerical results of test problems confirm the proposed method along with shape parameter strategy is accurate and practically stable. |
---|---|
ISSN: | 2008-1359 2251-7456 |
DOI: | 10.1007/s40096-022-00472-2 |