文献类型：期刊文献

英文题名：A meshless method in reproducing kernel space for solving variable-order time fractional advection-diffusion equations on arbitrary domain

作者：Du, Hong[1];Chen, Zhong[2];Yang, Tiejun[1]

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

年份：2021

卷号：116

外文期刊名：APPLIED MATHEMATICS LETTERS

收录：SCI-EXPANDED(收录号：WOS:000623682700013)、、EI(收录号：20210309777353)、Scopus(收录号：2-s2.0-85099238071)、WOS

基金：This work was supported by Project of GuangDong Ocean University, PR China (Grant Nos. Q18306, R20050).

语种：英文

外文关键词：Variable-order time fractional differential equation; Reproducing kernel space; Meshless method; Mercer kernel; Advection-diffusion equation

外文摘要：In this paper, a meshless method in reproducing kernel space is proposed for solving VOTFA-DE on arbitrary domain. Advantages of the meshless method proposed could avoid effectively difficulties of constructing shape functions using known Mercer kernel and deal with arbitrary domains. And the accuracy is verified by two examples. (c) 2020 Elsevier Ltd. All rights reserved.