A Quasi-Newton reproducing kernel method for nonlinear high-order boundary value problems

This paper proposes a novel Quasi-Newton reproducing kernel method (QNRKM) for efficiently solving nonlinear fifth-order two-point boundary value problems (BVPs). The proposed scheme innovatively combines the strengths of the Quasi-Newton method (QNM) and the reproducing kernel method (RKM), forming...

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Bibliographic Details

Published in:	AIMS Mathematics
Main Authors:	Chaoyue Guan, Jian Zhang
Format:	Article
Language:	English
Published:	AIMS Press 2025-06-01
Subjects:	reproducing kernel method quasi-newton method nonlinear differential equations boundary value problem convergence
Online Access:	https://www.aimspress.com/article/doi/10.3934/math.2025661