A Modified Three-Level Average Linear-Implicit Finite Difference Method for the Rosenau-Burgers Equation. (17th April 2014)

• Record Type: Journal Article
• Authors: Janwised, Jiraporn; Wongsaijai, Ben; Mouktonglang, Thanasak; Poochinapan, Kanyuta
• Other Names: Kurasov Pavel Academic Editor.
• Is Part Of: Advances in mathematical physics. Volume 2014(2014)
• Publication Date: 2014-04-17
• Subjects: Mathematical physics -- Periodicals; Mathematical physics; Periodicals; 530.15
• DOI: 10.1155/2014/734067
• Languages: English
• ISSNs: 1687-9120

Abstract

Abstract : We introduce a new technique, a three-level average linear-implicit finite difference method, for solving the Rosenau-Burgers equation. A second-order accuracy on both space and time numerical solution of the Rosenau-Burgers equation is obtained using a five-point stencil. We prove the existence and uniqueness of the numerical solution. Moreover, the convergence and stability of the numerical solution are also shown. The numerical results show that our method improves the accuracy of the solution significantly.