Conservative compact finite difference scheme for the coupled Schrödinger–Boussinesq equation. Issue 6 (4th May 2016)

• Record Type: Journal Article
• Authors: Liao, Feng; Zhang, Luming
• Is Part Of: Numerical methods for partial differential equations. Volume 32:Issue 6(2016:Nov.)
• Page Start: 1667
• Page End: 1688
• Publication Date: 2016-05-04
• Subjects: compact difference scheme -- conservative law -- convergence -- Schrödinger–Boussinesq equation; Differential equations, Partial -- Numerical solutions -- Periodicals; 515.353
• DOI: 10.1002/num.22067
• Languages: English
• ISSNs: 0749-159X

Abstract

Abstract : In this article, two conserved compact finite difference schemes for solving the nonlinear coupled Schrödinger–Boussinesq equation are proposed. The conservative property, existence, convergence, and stability of the difference solutions are theoretically analyzed. The numerical results are reported to demonstrate the accuracy and efficiency of the methods and to confirm our theoretical analysis. © 2016Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 32: 1667–1688, 2016