An algorithm for choosing best shape parameter for numerical solution of partial differential equation via inverse multiquadric radial basis function

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dc.contributor.authorKazeem Issa
dc.contributor.authorSulaiman M. Hambali
dc.contributor.authorJafar Biazar
dc.date.accessioned2024-06-12T16:09:00Z
dc.date.available2024-06-12T16:09:00Z
dc.date.issued2020-04-30
dc.description.abstractRadial Basis Function (RBF) is a real valued function whose value rests only on the distance from some other points called a center, so that a linear combination of radial basis functions are typically used to approximate given functions or differential equations. Radial Basis Function (RBF) approximation has the ability to give an accurate approximation for large data sites which gives smooth solution for a given number of knots points; particularly, when the RBFs are scaled to the nearly flat and the shape parameter is chosen wisely. In this research work, an algorithm for solving partial differential equations is written and implemented on some selected problems, inverse multiquadric (IMQ) function was considered among other RBFs. Preference is given to the choice of shape parameter, which need to be wisely chosen. The strategy is written as an algorithm to perform number of interpolation experiments by changing the interval of the shape parameters and consequently select the best shape parameter that give small root means square error (RMSE). All the computational work has been done using Matlab. The interpolant for the selected problems and its corresponding root means square errors (RMSEs) are tabulated and plotted.
dc.identifier.doi10.30538/oms2020.0104
dc.identifier.issn2616-4906
dc.identifier.issn2523-0212
dc.identifier.urihttps://kwasuspace.kwasu.edu.ng/handle/123456789/1385
dc.relation.ispartofOpen Journal of Mathematical Sciences
dc.titleAn algorithm for choosing best shape parameter for numerical solution of partial differential equation via inverse multiquadric radial basis function
dc.typejournal-article
oaire.citation.issue1
oaire.citation.volume4
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