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Extended cubic B-spline method for solving a linear system of second-order boundary value problems
Ahmed Salem Heilat1, Nur Nadiah Abd Hamid1, Ahmad Izani Md Ismail1
1School of Mathematical Sciences, Universiti Sains Malaysia, 11800 Penang, Malaysia.
Abstract:
A method based on extended cubic B-spline is proposed to solve a linear system of second-order boundary value problems. In this method, two free parameters, [Formula: see text] and [Formula: see text], play an important role in producing accurate results. Optimization of these parameters are carried out and the truncation error is calculated. This method is tested on three examples. The examples suggest that this method produces comparable or more accurate results than cubic B-spline and some other methods.
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