文献类型：期刊文献

英文题名：Fractional multiwavelet methods for solving spatiotemporal fractional diffusion equations with non-smooth solutions

作者：Zhang, Jian[1];Guan, Chaoyue[2];Du, Hong[1]

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

年份：2025

卷号：30

期号：3

起止页码：421

外文期刊名：MATHEMATICAL MODELLING AND ANALYSIS

收录：SCI-EXPANDED(收录号：WOS:001525099000002)、、EI(收录号：20253018821247)、Scopus(收录号：2-s2.0-105011077009)、WOS

语种：英文

外文关键词：fractional calculus; fractional diffusion equation; least residue method; fractional multiwavelets

外文摘要：This introduces a new method that effectively solves spatiotemp oral fractional diffusion equation(FDE) using fractional Lagrange interpolation and fractional multiwavelets. The method effectively addresses situations with non-smooth solutions. The approach begins by discretizing the time variable t using the fractional piecewise parabolic Lagrange interpolation method. For the spatial variables, we construct fractional multiwavelets. Through the least residue method, we obtain approximate solutions, while also conducting convergence analysis. Numerical demonstrations validate the high accuracy achieved by the proposed method, notably showcasing the better approximation capability of fractional polynomials compared to their integer counterparts.