A novel numerical scheme for reproducing kernel space of 2D fractional diffusion equations

A novel method is presented for reproducing kernel of a 2D fractional diffusion equation. The exact solution is expressed as a series, which is then truncated to get an approximate solution. In addition, some techniques to improve existing methods are also proposed. The proposed approach is easy to...

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Bibliographic Details

Published in:	AIMS Mathematics
Main Authors:	Siyu Tian, Boyu Liu, Wenyan Wang
Format:	Article
Language:	English
Published:	AIMS Press 2023-10-01
Subjects:	exact solution numerical method 2d fractional diffusion equations reproducing kernel
Online Access:	https://www.aimspress.com/article/doi/10.3934/math.20231488?viewType=HTML