title: Extended cubic B-spline method for solving a linear system of second-order boundary value problems.
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.
authors.affiliation: School of Mathematical Sciences, Universiti Sains Malaysia, 11800 Penang, Malaysia.
authors.forename: Ahmed Salem
authors.initials: AS
authors.lastname: Heilat
authors.affiliation: School of Mathematical Sciences, Universiti Sains Malaysia, 11800 Penang, Malaysia.
authors.forename: Nur Nadiah Abd
authors.initials: NN
authors.lastname: Hamid
authors.affiliation: School of Mathematical Sciences, Universiti Sains Malaysia, 11800 Penang, Malaysia.
authors.forename: Ahmad Izani Md
authors.initials: AI
authors.lastname: Ismail
keywords: Boundary value problem; Extended cubic B-spline; Linear; System