Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
471491 | Computers & Mathematics with Applications | 2016 | 17 Pages |
Abstract
In this paper, efficient numerical schemes are proposed for solving the fractional water wave models that describe the propagation of surface water wave. By using the weighted and shifted Grünwald–Letnikov (WSGL) formula to approximate the nonlocal fractional operators, we design a series of second order accurate difference schemes for the considered models. The existence, stability and convergence of numerical solutions of the proposed numerical schemes are established rigorously. The analysis shows that the proposed numerical schemes are unconditionally stable with second order accuracy for both temporal and spatial discretizations. Several numerical results are provided to verify the efficiency and accuracy of our theoretical analysis.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Can Li, Shan Zhao,