The maximum norm analysis of a nonmatching grids method for a class of parabolic biharmonic equation with mixed boundary condition

Issue title: Mathematical Modelling in Computational and Life Sciences

Guest editors: Ahmed Farouk

Article type: Research Article

Authors: Otmani, Sadok^a | Boulaaras, Salah^{b; c; *} | Almutiry, Waleed^b

Affiliations: [a] Laboratory of Operator Theory and PDE: Foundations and Applications, University of El Oued, El Oued, Algeria | [b] Department of Mathematics, College of Science and Arts, Al-Ras, Qassim University, Kingdom of Saudi Arabia | [c] Laboratory of Fundamental and Applied Mathematics of Oran (LMFAO), University of Oran 1, Ahmed Benbella, Oran, Algeria

Correspondence: [*] Corresponding author. Salah Boulaaras, Department of Mathematics, College of Science and Arts, Al-Ras, Qassim University, Kingdom of Saudi Arabia. E-mails: saleh_boulaares@yahoo.fr or S.Boularas@qu.edu.sa.

Abstract:  Motivated by the work of Boulaaras and Haiour in [12], we proved a maximum norm analysis of Schwarz alternating method for parabolic biharmonic equation with respect to the mixed boundary condition, where an optimal error analysis each subdomain between the discrete Schwarz sequence and the continuous solution of the presented problem is established.

Keywords: Maximum norm analysis, nonmatching grids method, Schwarz sequence, biharmonic differential equations

DOI: 10.3233/JIFS-179542

Journal: Journal of Intelligent & Fuzzy Systems, vol. 38, no. 3, pp. 2551-2560, 2020