Approximation of solutions to nonlinear two-point boundary value problems using quintic splines

Approximation of solutions to nonlinear two-point boundary value problems using quintic splines Full article

Journal

Computational Mathematics and Modeling
ISSN: 1046-283X

Output data

Year: 2026, DOI: 10.1007/s10598-026-09684-w

Tags

quintic B-spline, nonlinear systems, boundary value problems

Authors

Zhanlav Tugal ¹ , Mijiddorj Renchin-Ochir ² , Volkov Yuriy S. ³

Affiliations

1	Institute of Mathematics and Digital Technology, Mongolian Academy of Sciences, 54 B Peace Avenue, Bayanzurkh District, Ulaanbaatar, 13330, Mongolia
2	Department of Informatics, School of Mathematics and Natural Sciences, Mongolian National University of Education, 54 Baga toiruu, Sukhbaatar District, Ulaanbaatar, 14191, Mongolia
3	Sobolev Institute of Mathematics, 4 Koptuga Avenue, Novosibirsk, 630090, Russia

Funding (1)

Министерство науки и высшего образования РФ

FWNF-2026-0005

A nonlinear system of equations based on quintic splines is derived for approximating solutions of two-point boundary value problems. Solving this system yields a spline interpolating the solutions under consideration. The proposed method is applied to several benchmark problems, and numerical experiments confirm its efficiency and accuracy.

Zhanlav T. , Mijiddorj R-O. , Volkov Y.S.
Approximation of solutions to nonlinear two-point boundary value problems using quintic splines
Computational Mathematics and Modeling. 2026. DOI: 10.1007/s10598-026-09684-w Scopus OpenAlex

Submitted:	Oct 17, 2025
Accepted:	Jan 8, 2026
Published online:	Apr 13, 2026

≡ Scopus:	2-s2.0-105035687459
≡ OpenAlex:	W7154066352