New collocation approaches based on reproducing kernel functions for second order nonlinear boundary value problems

DOI10.1016/j.aml.2023.108822zbMath1520.65057OpenAlexW4385707656MaRDI QIDQ6052211

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Publication date: 21 September 2023

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2023.108822

zbMATH Keywords

collocationreproducing kernel functionsnonlinear BVPs

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Cites Work

• Some error estimates for the reproducing kernel Hilbert spaces method
• A stable and efficient technique for linear boundary value problems by applying kernel functions
• Lobatto-reproducing kernel method for solving a linear system of second order boundary value problems
• A Legendre reproducing kernel method with higher convergence order for a class of singular two-point boundary value problems
• A new higher order accurate reproducing kernel-based approach for boundary value problems
• A new multiscale algorithm for solving second order boundary value problems
• Reproducing kernel functions based univariate spline interpolation
• An algorithm of the boundary value problem based on multiscale orthogonal compact base
• Reproducing kernel method to solve non-local fractional boundary value problem
• A Novel Method for Nonlinear Boundary Value Problems Based on Multiscale Orthogonal Base
• Some Collocation Methods for Nonlinear Boundary Value Problems

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