Fourth-order compact difference schemes for the two-dimensional nonlinear fractional mobile/immobile transport models. (15th October 2021)

• Record Type: Journal Article
• Authors: Chai, Li; Liu, Yang; Li, Hong
• Is Part Of: Computers & mathematics with applications. Volume 100(2021)
• Page Start: 1
• Page End: 10
• Publication Date: 2021-10-15
• Subjects: Nonlinear fractional mobile/immobile transport equations -- Compact difference scheme -- Generalized BDF2-θ -- Corrected schemes; Electronic data processing -- Periodicals; Mathematics -- Data processing -- Periodicals; 510.28541
• DOI: 10.1016/j.camwa.2021.08.027
• Languages: English
• ISSNs: 0898-1221

Abstract

Abstract: 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.