A radial basis function method for fractional Darboux problems

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dc.contributor.authorGodavarma, C.
dc.contributor.authorPrashanthi, P.
dc.contributor.authorVijesh, V.A.
dc.date.accessioned2026-02-05T09:31:53Z
dc.date.issued2018
dc.description.abstractIn 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
dc.identifier.citationEngineering Analysis with Boundary Elements, 2018, 86, , pp. 1-18
dc.identifier.issn9557997
dc.identifier.urihttps://doi.org/10.1016/j.enganabound.2017.10.001
dc.identifier.urihttps://idr.nitk.ac.in/handle/123456789/25387
dc.publisherElsevier Ltd
dc.subjectApproximation theory
dc.subjectFunctions
dc.subjectRadial basis function networks
dc.subjectCollocation
dc.subjectFractional Darboux problem
dc.subjectGauss-Jacobi quadrature
dc.subjectRadial basis functions
dc.subjectSuccessive approximations
dc.subjectProblem solving
dc.titleA radial basis function method for fractional Darboux problems

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