Fourth-order compact difference schemes for the two-dimensional nonlinear fractional mobile/immobile transport models

被引：0
|
作者：
Chai, Li [1 ]
Liu, Yang [1 ]
Li, Hong [1 ]
机构：
[1] School of Mathematical Sciences, Inner Mongolia University, Hohhot,010021, China
来源：
Computers and Mathematics with Applications | 2021年 / 100卷
基金：
中国国家自然科学基金;
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摘要：
In this article, we develop fourth-order compact difference schemes based on the linearized generalized BDF2-θ to solve the two-dimensional nonlinear fractional mobile/immobile (M/I) transport equations. We derive theoretical results, including unconditional stability and error estimates associated with solution regularity. Finally, we provide extensive numerical examples with smooth solutions to demonstrate the effectiveness and accuracy of the schemes and develop the corrected compact difference scheme to recovery convergence results with nonsmooth solutions. © 2021 Elsevier Ltd
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