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Thin-plate spline radial basis function scheme for advection-diffusion problems

Thin-plate spline radial basis function scheme for advection-diffusion problems
Thin-plate spline radial basis function scheme for advection-diffusion problems
We present a meshless method based on thin plate radial basis function method for the numerical solution of advection-diffusion equation, which has been a long standing problem. The efficiency of the method in terms of computational processing time, accuracy and stability is discussed. The results are compared with the findings from the finite difference methods as well as the analytical solution. Our analysis shows that the radial basis functions method, with its simple implementation, generates excellent results and speeds up the computational processing time, independent of the shape of the domain and irrespective of the dimension of the problem.
Meshless Methods, Raidal Basis Functions, Thin Plate Spline, Finite Difference Method, Partial Differential Equation, Linear Advection-Diffusion Problem
267-282
Boztosun, I.
ec8cca59-a858-44d9-9a82-7b19d5395f2c
Charafi, A.
5e8eefa9-8c99-4c39-a667-0c071733fa5b
Zerroukat, M.
7fc5b20d-0034-42b7-be98-6fbfae8158c2
Djidjeli, K.
94ac4002-4170-495b-a443-74fde3b92998
Boztosun, I.
ec8cca59-a858-44d9-9a82-7b19d5395f2c
Charafi, A.
5e8eefa9-8c99-4c39-a667-0c071733fa5b
Zerroukat, M.
7fc5b20d-0034-42b7-be98-6fbfae8158c2
Djidjeli, K.
94ac4002-4170-495b-a443-74fde3b92998

Boztosun, I., Charafi, A., Zerroukat, M. and Djidjeli, K. (2002) Thin-plate spline radial basis function scheme for advection-diffusion problems. Electronic Journal of Boundary Elements, BETEQ 2001 (2), 267-282.

Record type: Article

Abstract

We present a meshless method based on thin plate radial basis function method for the numerical solution of advection-diffusion equation, which has been a long standing problem. The efficiency of the method in terms of computational processing time, accuracy and stability is discussed. The results are compared with the findings from the finite difference methods as well as the analytical solution. Our analysis shows that the radial basis functions method, with its simple implementation, generates excellent results and speeds up the computational processing time, independent of the shape of the domain and irrespective of the dimension of the problem.

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Published date: 2002
Keywords: Meshless Methods, Raidal Basis Functions, Thin Plate Spline, Finite Difference Method, Partial Differential Equation, Linear Advection-Diffusion Problem

Identifiers

Local EPrints ID: 22112
URI: http://eprints.soton.ac.uk/id/eprint/22112
PURE UUID: 8eb25d07-f1e8-4979-b4d1-2fc88137aba7

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Date deposited: 21 Mar 2006
Last modified: 22 Jul 2020 16:42

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Contributors

Author: I. Boztosun
Author: A. Charafi
Author: M. Zerroukat
Author: K. Djidjeli

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