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Title

A MESHLESS METHOD USING THE RADIAL BASIS FUNCTIONS FOR NUMERICAL SOLUTION OF THE GILSON-PICKERING EQUATION

Writers

ZABIHI F. | SAFFARIAN M.

Pages

 Start Page | End Page

Keywords

GILSON-PICKERING (GP) EQUATION 
RADIAL BASIS FUNCTIONS (RBFS) 
THIN PLATE SPLINES RADIAL BASIS FUNCTIONS(TPS-RBFS) 

Abstract

 IN THIS ARTICLE, THIN PLATE SPLINES RADIAL BASIS FUNCTION METHOD IS PRESENTED FOR SOLUTIONS OF GILSON-PICKERING EQUATION. THIS SCHEME WORKS IN A SIMILAR FORM AS FINITE DIFFERENCE METHODS AND WE USE COLLOCATION POINTS FOR BASIS NODES IN RADIAL BASIS FUNCTION. A NUMERICAL EXAMPLE IS STUDIED TO DEMONSTRATE THE ACCURACY AND EFFICIENCY OF THE PRESENTED METHOD.

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