Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 2

Publications

2 Cubic Trigonometric B-Spline Applied to Linear Two-Point Boundary Value Problems of Order Two

Authors: Ahmad Izani Md. Ismail, Ahmad Abd. Majid, Nur Nadiah Abd Hamid

Abstract:

Linear two-point boundary value problems of order two are solved using cubic trigonometric B-spline interpolation method (CTBIM). Cubic trigonometric B-spline is a piecewise function consisting of trigonometric equations. This method is tested on some problems and the results are compared with cubic B-spline interpolation method (CBIM) from the literature. CTBIM is found to approximate the solution slightly more accurately than CBIM if the problems are trigonometric.

Keywords: Spline interpolation, trigonometric B-spline, two-point boundary valueproblem, cubic spline

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1 Extended Cubic B-spline Interpolation Method Applied to Linear Two-Point Boundary Value Problems

Authors: Ahmad Izani Md. Ismail, Ahmad Abd. Majid, Nur Nadiah Abd Hamid

Abstract:

Linear two-point boundary value problem of order two is solved using extended cubic B-spline interpolation method. There is one free parameters, λ, that control the tension of the solution curve. For some λ, this method produced better results than cubic B-spline interpolation method.

Keywords: B-spline, two-point boundary value problem, extendedcubic B-spline

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