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

Authors:
S. Kazem;J. A. Rad;K. Parand
Affiliations:
Department of Mathematics, Imam Khomeini International University, Ghazvin 34149-16818, Iran;Department of Mathematics, Faculty of Mathematical Sciences, Shahid Beheshti University, Evin, Tehran 19839, Iran;Department of Computer Sciences, Faculty of Mathematical Sciences, Shahid Beheshti University, Evin, Tehran 19839, Iran
Venue:
Computers & Mathematics with Applications
Year:
2012

Citing 17
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Abstract

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.