文献类型：期刊文献

英文题名：A new method of solving the Riesz fractional advection–dispersion equation with nonsmooth solution

作者：Du, Hong[1]; Chen, Zhong[2]

机构：[1] College of Mathematics and Computer Science, GuangDong Ocean University, Guangdong, ZhanJiang, 524000, China; [2] Department of Mathematics, Harbin Institute of Technology at Weihai, Shandong, 264209, China

年份：2024

卷号：152

外文期刊名：Applied Mathematics Letters

收录：EI(收录号：20240815578754)、Scopus(收录号：2-s2.0-85185195012)

语种：英文

外文关键词：Dispersions - Numerical methods - Polynomials

外文摘要：The Riesz fractional advection–dispersion equation with weak singularities at boundaries is solved. Our important contributions are to propose a new approach, construct successfully the fractional polynomial approximate functions with weak singularities at both endpoints in spatial direction, provide the minimum residual solution (MRS) and convergence order. Numerical examples show that the proposed method has significant advantages for dealing with weak singularities at boundaries. ? 2024 Elsevier Ltd