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Title: A modified three-level average linear-implicit finite difference method for the Rosenau-Burgers equation
Authors: Jiraporn Janwised
Ben Wongsaijai
Thanasak Mouktonglang
Kanyuta Poochinapan
Keywords: Mathematics
Physics and Astronomy
Issue Date: 1-Jan-2014
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. © 2014 Jiraporn Janwised et al.
ISSN: 16879139
Appears in Collections:CMUL: Journal Articles

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