A new higher order accurate reproducing kernel-based approach for boundary value problems

被引：12

作者：

Geng, F. Z. ^{[1
]}

机构：

[1] Nanjing Univ, Dept Math, Nanjing 210093, Jiangsu, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2020年 / 107卷

基金：

中国国家自然科学基金; 中国博士后科学基金;

关键词：

Higher convergence order; Reproducing kernel approach; Boundary value problems; SYSTEM;

D O I：

10.1016/j.aml.2020.106494

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The reproducing kernel functions (RKFs) and related theory have been employed to deal with the numerical solutions of boundary value problems (BVPs). The existing RKFs based approaches for BVPs have global convergence order two and three in the reproducing kernel Hilbert spaces (RKHSs) W-3 and W-4, respectively. The global convergence order of the present new method is four and six in the RKHSs W-3 and W-4, respectively. The error analysis is also discussed. To show the effectiveness, the numerical results of experiments are compared with the existing RKFs based techniques. (C) 2020 Elsevier Ltd. All rights reserved.

引用

页数：7

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