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Technical Briefs

Ritz Legendre Multiwavelet Method for the Damped Generalized Regularized Long-Wave Equation

[+] Author and Article Information
S. A. Yousefi1

Department of Mathematics,  Shahid Beheshti University, G.C., Tehran, Irans-yousefi@sbu.ac.ir

Z. Barikbin

Department of Mathematics,  Shahid Beheshti University, G.C., Tehran, Iran

1

Corresponding author.

J. Comput. Nonlinear Dynam 7(1), 014501 (Jul 22, 2011) (4 pages) doi:10.1115/1.4004121 History: Received July 23, 2009; Revised April 03, 2011; Published July 22, 2011; Online July 22, 2011

In this paper, a numerical method is proposed to approximate the solution of the nonlinear damped generalized regularized long-wave (DGRLW) equation with a variable coefficient. The method is based upon Ritz Legendre multiwavelet approximations. The properties of Legendre multiwavelet are first presented. These properties together with the Galerkin method are then utilized to reduce the nonlinear DGRLW equation to the solution of algebraic equations. Illustrative examples are included to demonstrate the validity and applicability of the technique.

Copyright © 2012 by American Society of Mechanical Engineers
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