A meshless method on non-Fickian flows with mixing length growth in porous media based on radial basis functions: A comparative study

The present study aims to introduce a solution for parabolic integro-differential equations arising in heat conduction in materials with memory, which naturally occur in many applications. Two Radial basis functions (RBFs) collocation schemes are employed for solving this equation. The first method...

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Bibliographic Details
Published in:Computers & mathematics with applications (1987) 2012-08, Vol.64 (4), p.399-412
Main Authors: Kazem, S., Rad, J.A., Parand, K.
Format: Article
Language:English
Subjects:
Cartesian
Cartesian nodes
Non-Fickian flows
Parabolic integro-differential equations
Radial basis functions
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Summary:The present study aims to introduce a solution for parabolic integro-differential equations arising in heat conduction in materials with memory, which naturally occur in many applications. Two Radial basis functions (RBFs) collocation schemes are employed for solving this equation. The first method tested is an unsymmetric method, and the second one, which appears to be more efficient, is a symmetric one. The convergence of these two schemes is accelerated, as we use the cartesian nodes as the center nodes.
ISSN:0898-1221
1873-7668
DOI:10.1016/j.camwa.2011.10.052