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

DURMUŞ A., Boztosun I., Yasuk F.

INTERNATIONAL JOURNAL OF MODERN PHYSICS C, cilt.17, sa.8, ss.1151-1169, 2006 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 17 Sayı: 8
  • Basım Tarihi: 2006
  • Doi Numarası: 10.1142/s0129183106009783
  • Dergi Adı: INTERNATIONAL JOURNAL OF MODERN PHYSICS C
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1151-1169
  • Anahtar Kelimeler: meshless methods, radial basis functions, multiquadric, thin-plate spline, convection-diffusion equations, BOUNDARY-ELEMENT METHODS, HEAT-TRANSFER PROBLEMS, SHAPE-PARAMETERS, PART I, INTERPOLATION, EQUATIONS, IMPLEMENTATION, FORMULATION, COLLOCATION
  • Akdeniz Üniversitesi Adresli: Hayır

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.