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

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