Comparative study of the multiquadric and thin-plate spline radial basis functions for the transient-convective diffusion problems

Durmus A., Boztosun I., Yasuk F.

International Journal of Modern Physics C, vol.17, no.8, pp.1151-1169, 2006 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 17 Issue: 8
  • Publication Date: 2006
  • Doi Number: 10.1142/s0129183106009783
  • Journal Name: International Journal of Modern Physics C
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1151-1169
  • Keywords: Convection-diffusion equations, Meshless methods, Multiquadric, Radial basis functions, Thin-plate spline
  • Erciyes University Affiliated: Yes

Abstract

The numerical solutions of the unsteady transient-convective diffusion problems are investigated by using multiquadric (MQ) and thin-plate spline (TPS) radial basis functions (RBFs) based on mesh-free collocation methods with global basis functions. The results of radial basis functions are compared with the mesh-dependent boundary element and finite difference methods as well as the analytical solution for high Péclet numbers. It is reported that for low Péclet numbers, MQ-RBF provides excellent agreement, while for high Péclet numbers, TPS-RBF is better than MQ-RBF. © World Scientific Publishing Company.