Year: 2009
Author: Francisco Bernal, Gail Gutierrez
Advances in Applied Mathematics and Mechanics, Vol. 1 (2009), Iss. 2 : pp. 257–272
Abstract
A general and easy-to-code numerical method based on radial basis functions (RBFs) collocation is proposed for the solution of delay differential equations (DDEs). It relies on the interpolation properties of infinitely smooth RBFs, which allow for a large accuracy over a scattered and relatively small discretization support. Hardy's multiquadric is chosen as RBF and combined with the Residual Subsampling Algorithm of Driscoll and Heryudono for support adaptivity. The performance of the method is very satisfactory, as demonstrated over a cross-section of benchmark DDEs, and by comparison with existing general-purpose and specialized numerical schemes for DDEs.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2009-AAMM-8368
Advances in Applied Mathematics and Mechanics, Vol. 1 (2009), Iss. 2 : pp. 257–272
Published online: 2009-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 16
Keywords: Meshless method delay differential equations radial basis function multiquadric adaptive collocation.