Abstract

We present a new method based upon the paper of Volokh and Vilney (2000) that produces highly accurate and stable solutions to very ill-conditioned multiquadric (MQ) radial basis function (RBF) asymmetric collocation methods for partial differential equations (PDEs). We demonstrate that the modified Volokh-Vilney algorithm that we name the improved truncated singular value decomposition (IT-SVD) produces highly accurate and stable numerical solutions for large values of a constant MQ shape parameter, c, that exceeds the critical value of c based upon Gaussian elimination.

Department(s)

Civil, Architectural and Environmental Engineering

Keywords and Phrases

Asymmetric collocation; Improved truncated singular value decomposition; Meshless radial basis functions; Multiquadric; Partial differential equations

International Standard Serial Number (ISSN)

1526-1492

Document Type

Article - Journal

Document Version

Final Version

File Type

text

Language(s)

English

Rights

© 2008 Tech Science Press, All rights reserved.

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