A superconvergent collocation approach for solving linear second-order BVPs

Afaf Rahouti and Abdelhafid Serghini

Mathematics and Computers in Simulation (MATCOM), 2026, vol. 249, issue C, 354-368

Abstract: The paper introduces and investigates a cubic collocation method based on a superconvergent quasi-interpolant for approximating solutions of boundary value problems. It is proven to achieve fourth-order convergence. The proposed method accurately approximates the solution along with its first and second derivatives at knots with high precision. Numerical results confirm the predicted convergence order, as established by the analysis. Additionally, we compare this method with those presented in the literature.

Keywords: Collocation method; Hermite B-splines; Quasi-interpolant; Second-order boundary value problems; Super-convergence (search for similar items in EconPapers)
Date: 2026
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378475426002181
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:249:y:2026:i:c:p:354-368

DOI: 10.1016/j.matcom.2026.05.021

Access Statistics for this article

Mathematics and Computers in Simulation (MATCOM) is currently edited by Robert Beauwens

More articles in Mathematics and Computers in Simulation (MATCOM) from Elsevier
Bibliographic data for series maintained by Catherine Liu ().