COMPARATIVE STUDY OF THE MULTIQUADRIC AND THIN-PLATE SPLINE RADIAL BASIS FUNCTIONS FOR THE TRANSIENT-CONVECTIVE DIFFUSION PROBLEMS
2006 ◽
Vol 17
(08)
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pp. 1151-1169
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Keyword(s):
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.
2010 ◽
Vol 29
(5)
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pp. 844-850
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2010 ◽
Vol 88
(13-14)
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pp. 837-844
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Keyword(s):
2010 ◽
Vol 28
(2)
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pp. 542-553
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Keyword(s):
2007 ◽
Vol 05
(02)
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pp. 95-122
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2018 ◽
Vol 75
(5)
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pp. 1685-1704
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2017 ◽
Vol 34
(1)
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pp. 37-44
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Keyword(s):
2002 ◽
Vol 43
(3-5)
◽
pp. 491-499
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2014 ◽
Vol 24
(8)
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pp. 1636-1659
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