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

GUANG-RI PIAO|Yong-Xue Yin
영남수학회 (Youngnam Mathematical Society)|2013.11|East Asian Mathematical Journal|제29권 제5호|pp. 503-510|DOI http://dx.doi.org/10.7858/eamj.2013.034

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참고문헌

키워드

Newton methodBBMB equationB-spline finite element method
주제분류수학

초록

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.

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.

참고문헌 (16)

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