A radial basis function method for fractional Darboux problems
No Thumbnail Available
Date
2018
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier Ltd
Abstract
In this paper, a radial basis function (RBF) collocation known as Kansa's method has been extended to solve fractional Darboux problems. The fractional derivatives are described in the Caputo sense. Integration of radial functions that appears due to fractional derivatives have been dealt using Gauss–Jacobi quadrature method. The equation has been linearized using successive approximation. A few test problems have been solved and compared with available solutions. The effect of RBF shape parameter on accuracy and convergence has also been discussed. © 2017 Elsevier Ltd
Description
Keywords
Approximation theory, Functions, Radial basis function networks, Collocation, Fractional Darboux problem, Gauss-Jacobi quadrature, Radial basis functions, Successive approximations, Problem solving
Citation
Engineering Analysis with Boundary Elements, 2018, 86, , pp. 1-18