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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ISRP Style
Ahmed Salem Heilat, Reyadh Salem Hailat, Extended cubic B-spline method for solving a system of non-linear second-order boundary value problems, Journal of Mathematics and Computer Science, 21 (2020), no. 3, 231--242
AMA Style
Heilat Ahmed Salem, Hailat Reyadh Salem, Extended cubic B-spline method for solving a system of non-linear second-order boundary value problems. J Math Comput SCI-JM. (2020); 21(3):231--242
Chicago/Turabian Style
Heilat, Ahmed Salem, Hailat, Reyadh Salem. "Extended cubic B-spline method for solving a system of non-linear second-order boundary value problems." Journal of Mathematics and Computer Science, 21, no. 3 (2020): 231--242
Keywords
- Boundary value problems
- quasilinearization
- extended cubic B-spline
MSC
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