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, cilt.17, ss.1151-1169, 2006 (SCI İndekslerine Giren Dergi) identifier

  • Cilt numarası: 17 Konu: 8
  • Basım Tarihi: 2006
  • Doi Numarası: 10.1142/s0129183106009783
  • Dergi Adı: INTERNATIONAL JOURNAL OF MODERN PHYSICS C
  • Sayfa Sayısı: ss.1151-1169

Özet

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 Peclet numbers. It is reported that for low Peclet numbers, MQ-RBF provides excellent agreement, while for high Peclet numbers, TPS-RBF is better than MQ-RBF.