Radial Basis Functions As Approximate Particular Solutions: Review Of Recent Progress
Price
Free (open access)
Transaction
Volume
25
Pages
11
Published
1999
Size
1,028 kb
Paper DOI
10.2495/BE990511
Copyright
WIT Press
Author(s)
P.A. Ramachandran & K. Balakrishnan
Abstract
Solution to Poisson type of differential equations can be achieved by find- ing an approximate particular solution to the forcing term followed by a boundary element method or more simply by using a boundary collocation method. The approximate particular solution is often found by using radial basis functions approximations to the forcing function. The advantage of radial basis functions is they involve a single independent variable regardless of the dimension of the problem. They prove particularly attractive when the domain cannot be expressed as product domains of lower dimensions. This paper provides a review of some of the recent progress in this field (in connection with the solution of Poisson type of differential equations
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