Numerical solution of nonlinear system of second-order boundary value problems using cubic B-spline scaling functions

Authors:
Mehdi Dehghan;Mehrdad Lakestani
Affiliations:
Faculty of Mathematics and Computer Sciences, Amirkabir University of Technology, Tehran, Iran;Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran
Venue:
International Journal of Computer Mathematics
Year:
2008

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Abstract

A numerical technique is presented for the solution of nonlinear system of second-order boundary value problems. This method uses the cubic B-spline scaling functions. The method consists of expanding the required approximate solution as the elements of cubic B-spline scaling function. Using the operational matrix of derivative, we reduce the problem to a set of algebraic equations. Numerical examples are included to demonstrate the validity and applicability of the technique. The method is easy to implement and produces very accurate results.