An efficient numerical method for solving Benjamin–Bona–Mahony–Burgers equation using difference scheme. Issue 4 (2nd April 2020)

• Record Type: Journal Article
• Authors: Mahboob Dana, Z.; Najafi, H. Saberi; Refahi Sheikhani, A. H.
• Is Part Of: Journal of difference equations and applications. Volume 26:Issue 4(2020)
• Page Start: 574
• Page End: 585
• Publication Date: 2020-04-02
• Subjects: Finite difference -- sixth order -- existence -- stability analysis -- accuracy -- L∞; 37M05 -- 97N40 -- 30C30; Difference equations -- Periodicals; 515.625
• DOI: 10.1080/10236198.2020.1766032
• Languages: English
• ISSNs: 1023-6198

Abstract

ABSTRACT: In this paper, we propose a numerical solution of the Benjamin–Bona–Mahony–Burgers equation (BBMB) based on finite difference scheme of sixth order. It is proved that the scheme is convergent. The existence and stability analysis of numerical solutions are discussed. The method is applied to several examples and accuracy of the method is tested in terms of L ∞ and L 2 error norms. Furthermore, the numerical results have been compared with some other methods.