Extended cubic B-spline method for solving a system of non-linear second-order boundary value problems

Volume 21, Issue 3, pp 231--242 http://dx.doi.org/10.22436/jmcs.021.03.06

Publication Date: April 26, 2020 Submission Date: February 09, 2020 Revision Date: February 23, 2020 Accteptance Date: March 03, 2020

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Authors

Ahmed Salem Heilat - Department of Mathematics, Jadara University, P. O. Box (733), 21111 Irbid, Jordan. Reyadh Salem Hailat - PAAET Basic College, Rd No 103, Al Kuwayt, Kuwait.

Abstract

In this paper, we develop the extended cubic B-spline method for solving a system of nonlinear second-order boundary value problems. A quasilinearization approach is used and the error estimate is obtained. The accuracy of the method depends on two free parameters. We apply the method on four examples and the results which obtained using extended cubic B-spline indicate that the method is efficient and accurate.

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Keywords

• Boundary value problems
• quasilinearization
• extended cubic B-spline

MSC

•  34A34
•  65L10

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