Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8966138 | Applied Mathematics and Computation | 2019 | 17 Pages |
Abstract
A mass-preserving scheme, a nonlinear algorithm based on modification of a finite difference method to the Rosenau-RLW equation, is proposed subject to homogeneous boundary conditions. The key feature of the method for improving the accuracy of approximate solutions is to develop a compact higher-order scheme together with an iterative algorithm for solving the nonlinear implicit scheme. The derivatives for space discretization are approximated by using the algorithm dealing with a five-point stencil. In addition, a three-level average difference technique is used to perform time discretization. The conservation of mass and both the existence and uniqueness of the numerical solution are proved. The stability and convergence of the numerical solution with order O(Ï4+Ï2h2+h4) are also confirmed. For efficiency analysis, numerical results show that the computational efficiency of the compact scheme is much higher than that of non-compact schemes. Moreover, long-time behavior is also used to validate the capability of the present method.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
B. Wongsaijai, T. Mouktonglang, N. Sukantamala, K. Poochinapan,