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

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.

Authors:

• Nur Nadiah Abd Hamid
• Ahmad Abd. Majid
• Ahmad Izani Md. Ismail

Keywords:

• trigonometric B-spline
• two-point boundary valueproblem
• spline interpolation
• cubic spline

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