aspg-33-1934-1792222832
20261017074032
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American Scientific Publishing Group
Galoitica: Journal of Mathematical Structures and Applications
GJMSA
2834-5568
2023
6
2
On Novel Spline Function Method for Solving Third-Order Boundary Value Problems
Arwa
Hajjari
Cairo University, Cairo, Egypt
In this paper, a numerical method is suggested for solving general a nonlinear third order boundary value problem (BVP). In this method, the given nonlinear third-order BVP will be transformed into two third-order initial value problems (IVPs), then spline function approximations are applied to both two IVP for finding the Spline solution and its derivatives up to third order of the given BVP. The study shows that the spline solution of the BVP is existent and unique, and the convergence order of the spline method is fourth with a local truncation error
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2023
17
28
1934
https://creativecommons.org/licenses/by/4.0/
10.54216/GJMSA.060202
https://americaspg.com/journal/33/article/1934
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https://americaspg.com/storage/21690397762.pdf