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Comparative Study Of The Multiquadric And Thin-Plate Spline Radial Basis Functions For The Transient-Convective Diffusion Problems

Author

Listed:
  • A. DURMUS

    (Physics Department, Erciyes University, Kayseri, 38039, Turkey)

  • I. BOZTOSUN

    (Physics Department, Erciyes University, Kayseri, 38039, Turkey)

  • F. YASUK

    (Physics Department, Erciyes University, Kayseri, 38039, Turkey)

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.

Suggested Citation

  • A. Durmus & I. Boztosun & F. Yasuk, 2006. "Comparative Study Of The Multiquadric And Thin-Plate Spline Radial Basis Functions For The Transient-Convective Diffusion Problems," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 17(08), pages 1151-1169.
    • Handle: RePEc:wsi:ijmpcx:v:17:y:2006:i:08:n:s0129183106009783
    DOI: 10.1142/S0129183106009783
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