A novel kernel functions algorithm for solving impulsive boundary value problems

作     者：Geng, F. Z. Wu, X. Y. 

作者机构：Changshu Inst Technol Dept Math Changshu 215500 Jiangsu Peoples R China Nanjing Univ Dept Math Nanjing 210093 Jiangsu Peoples R China Zaozhuang Univ Sch Math & Stat Zaozhuang 277160 Peoples R China 

出 版 物：《APPLIED MATHEMATICS LETTERS》 (应用数学快报)

年 卷 期：2022年第134卷

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：National Natural Science Foundation of China (NSFC) [11271100, 11671200] China Postdoctoral Science Foundation [2019M651765] 

主　　题：Impulsive boundary value problems Piecewise continuous space Kernel functions 

摘      要：In this letter, to fit the character of solutions to impulsive boundary value problems (IBVPs), we firstly construct a piecewise continuous space using the reproducing kernel function (RKF) of smooth reproducing kernel Hilbert space (RKHS) W3. Then we present a fourth order convergent collocation approach for IBVPs by using the piecewise continuous basis functions yielded by RKFs in W3. Also, the convergence order of our approach is proved. The accuracy and convergence order are shown numerically.(c) 2022 Elsevier Ltd. All rights reserved.