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http://dx.doi.org/10.7858/eamj.2013.034

QUADRATIC B-SPLINE FINITE ELEMENT METHOD FOR THE BENJAMIN-BONA-MAHONY-BURGERS EQUATION  

Yin, Yong-Xue (Department of Mathematics, College of Science, YanBian University)
Piao, Guang-Ri (Department of Mathematics, College of Science, YanBian University)
Publication Information
East Asian mathematical journal / v.29, no.5, 2013 , pp. 503-510 More about this Journal
Abstract
A quadratic B-spline finite element method for the spatial variable combined with a Newton method for the time variable is proposed to approximate a solution of Benjamin-Bona-Mahony-Burgers (BBMB) equation. Two examples were considered to show the efficiency of the proposed scheme. The numerical solutions obtained for various viscosity were compared with the exact solutions. The numerical results show that the scheme is efficient and feasible.
Keywords
BBMB equation; B-spline finite element method; Newton method;
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