Extended cubic B-spline method for linear two-point boundary value problems

Nur Nadiah Abd Hamid, and Ahmad Abd. Majid, and Ahmad Izani Md. Ismail, (2011) Extended cubic B-spline method for linear two-point boundary value problems. Sains Malaysiana, 40 (11). pp. 1285-1290. ISSN 0126-6039


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Second order linear two-point boundary value problems were solved using extended cubic B-spline interpolation method. Extended cubic B-spline is an extension of cubic B-spline consisting of one shape parameter, called λ. The resulting approximated analytical solution for the problems would be a function of λ. Optimization of λ was carried out to find the best value of λ that generates the closest fit to the differential equations in the problems. This method approximated the solutions for the problems much more accurately compared to finite difference, finite element, finite volume and cubic B-spline interpolation methods.

Item Type:Article
Keywords:Cubic B-spline; extended cubic B-spline; spline interpolation; two-point boundary value problem
Journal:Sains Malaysiana
ID Code:2940
Deposited By: Mr Azam
Deposited On:10 Oct 2011 06:50
Last Modified:14 Dec 2016 06:33

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