An algorithm of the boundary value problem based on multiscale orthogonal compact base

DOI10.1016/j.aml.2019.106044OpenAlexW2974078346WikidataQ127214376 ScholiaQ127214376MaRDI QIDQ2338284

Yingchao Zhang, Hongbo Sun, Yun-Tao Jia, Ying-Zhen Lin

Publication date: 21 November 2019

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

Full work available at URL: https://doi.org/10.1016/j.aml.2019.106044

zbMATH Keywords

convergencestability analysisreproducing kernel spacesmultiscale standard orthogonal basis

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items (9)

A new method for high-order boundary value problems ⋮ A new higher order accurate reproducing kernel-based approach for boundary value problems ⋮ New collocation approaches based on reproducing kernel functions for second order nonlinear boundary value problems ⋮ A new multiscale algorithm for solving second order boundary value problems ⋮ Multiscale orthonormal method for nonlinear system of BVPs ⋮ A new algorithm of boundary value problems based on improved wavelet basis and the reproducing kernel theory ⋮ A new algorithm based on improved Legendre orthonormal basis for solving second-order BVPs ⋮ A Novel Method for Nonlinear Boundary Value Problems Based on Multiscale Orthogonal Base ⋮ A stable and efficient technique for linear boundary value problems by applying kernel functions

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