文献类型：期刊文献

英文题名：A new reproducing kernel method with higher convergence order for solving a Volterra-Fredholm integral equation

作者：Du, Hong[1];Chen, Zhong[2]

机构：[1]GuangDong Ocean Univ, Coll Math & Comp Sci, Zhanjiang 524000, Guangdong, Peoples R China;[2]Harbin Inst Technol, Dept Math, Weihai 264209, Shandong, Peoples R China

年份：2020

卷号：102

外文期刊名：APPLIED MATHEMATICS LETTERS

收录：SCI-EXPANDED(收录号：WOS:000514015000030)、、EI(收录号：20194607676541)、Scopus(收录号：2-s2.0-85074729450)、WOS

基金：This work was supported by Project of Enhancing School with Innovation of GuangDong Ocean University, China (Grant No. Q18306), the Natural Science Foundation of Heilongjiang Province, China (Grant No. E2017059), Program for Scientific Research Start-up Funds of Guangdong Ocean University, China.

语种：英文

外文关键词：Reproducing kernel; Convergence order; Oscillation

外文摘要：In the paper, linear Volterra-Fredholm integral equations of the second kind are considered in a reproducing kernel space. The approximate solution is gotten by constructing a uniquely solvable system of linear algebraic equations. Our important contributions are to provide convergence order theorems of the scheme using spline function theories and propose a new scheme with high convergence order for solving the approximate solutions to oscillation and non-oscillation of exact solutions. (C) 2019 Published by Elsevier Ltd.