文献类型：期刊文献

英文题名：An improved collocation method for solving a fractional integro-differential equation

作者：Zhang, Xiaoguang[1];Du, Hong[2]

机构：[1]Heilongjiang Univ Sci & Technol, Coll Sci, Harbin 150022, Heilongjiang, Peoples R China;[2]GuangDong Ocean Univ, Coll Math & Comp Sci, Zhanjiang 524000, Guangdong, Peoples R China

年份：2021

卷号：40

期号：1

外文期刊名：COMPUTATIONAL & APPLIED MATHEMATICS

收录：SCI-EXPANDED(收录号：WOS:000611986600002)、、EI(收录号：20224112886209)、Scopus(收录号：2-s2.0-85100144297)、WOS

基金：This work was supported by Project of Enhancing School with Innovation of GuangDong Ocean University (Grant No. Q18306), Program for Scientific Research Start-up Funds of Guangdong Ocean University (No. R20050).

语种：英文

外文关键词：Superconvergence; Reproducing kernel space; epsilon approximate solutions

外文摘要：In the paper, an improved collocation method is proposed for solving a linear fractional integro-differential equation. The method is proposed by improving the residual to vanish and require the residual to the minimum in sense of .C. It can avoid efficiently ill-conditioned of higher degree polynomials. Convergence order is superconvergence and stability analysis is also provided.