Algorithm for Choosing Best Shape Parameter for Partial Differential Equation Problems via Inverse M...

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" Algorithm for Choosing Best Shape Parameter for Partial Differential Equation Problems via Inverse Multiquadric Radial Basis Function "
Sulaiman, Muritala Hambali Issa, K.

Document Type	:	Latin Dissertation
Language of Document	:	English
Record Number	:	1055114
Doc. No	:	TL54231
Main Entry	:	Sulaiman, Muritala Hambali
Title & Author	:	Algorithm for Choosing Best Shape Parameter for Partial Differential Equation Problems via Inverse Multiquadric Radial Basis Function\ Sulaiman, Muritala HambaliIssa, K.
College	:	Kwara State University (Nigeria)
Date	:	2019
Degree	:	M.S.
student score	:	2019
Note	:	53 p.
Abstract	:	Radial Basis Function (RBF) is a real valued function whose value rests solely only on the distance from the origin or alternatively on the distance from some other points called a center, so that, sums of radial basis functions are typically used to approximate given functions or dierential equations. Radial Basis Function (RBFs) approximation has the ability to give accurate function approximation for large data site at Scattered node points which give smooth solutions for a given number of node points; especially when the Radial Basis Functions are scaled to the nearly at and the shape parameter is wisely chosen. In this research work, Inverse multiquadric (IMQ) function is considered among other RBFs strategies to solve some selected partial dierential equations (PDEs). The focus was on the choice of shape parameters, which needed to be chosen wisely. An algorithms to perform a series of interpolation experiments by varying the interval of the shape parameters and consequently, select the best shape parameter, was written and implemented in matlab. The interpolant for some selected problems and the corresponding root means square errors (RMSEs) were plotted and the tables of RMSEs were tabulated.
Descriptor	:	Mathematics
Added Entry	:	Issa, K.
Added Entry	:	Kwara State University (Nigeria)