COMPARATIVE STUDY OF THE MULTIQUADRIC AND THIN-PLATE SPLINE RADIAL BASIS FUNCTIONS FOR THE TRANSIENT-CONVECTIVE DIFFUSION PROBLEMS

A. Durmus (), I. Boztosun and F. Yasuk
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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

International Journal of Modern Physics C (IJMPC), 2006, vol. 17, issue 08, 1151-1169

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.

Keywords: Meshless methods; radial basis functions; multiquadric; thin-plate spline; convection-diffusion equations; 02.60.-x; 02.70.-c (search for similar items in EconPapers)
Date: 2006
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DOI: 10.1142/S0129183106009783

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