Paper Title :A Backward Semi-Lagrangian Scheme for Coupled Burgers' Equation
Author :Soyoonbak, Dojin Kim, Yonghyeon Jeon, Philsu Kim
Article Citation :Soyoonbak ,Dojin Kim ,Yonghyeon Jeon ,Philsu Kim ,
(2017 ) " A Backward Semi-Lagrangian Scheme for Coupled Burgers' Equation " ,
International Journal of Management and Applied Science (IJMAS) ,
pp. 65-68,
Volume-3,Issue-3
Abstract : This paper is intended as an application of backward semi-Lagrangian scheme combined with the error correction
method to obtain numerical solutions for nonlinear coupled Burgers' equation. To linearize the nonlinear diffusion-reaction
system resulted from the backward semi-Lagrangian process, we develop a type of extrapolation scheme without the
damaging of temporal accuracy. Through the numerical simulations of the targeted equations, we demonstrate the proposed
method has the second-order convergence rates in time and space. In addition, our numerical results are in good agreement
with the analytic solution and offer better accuracy in comparison with other existing scheme.
Key word- Backward semi-Lagrangian method; Error correction method; Time dependent nonlinear partial differential
equation; Coupled Burgers' equation
Type : Research paper
Published : Volume-3,Issue-3
DOIONLINE NO - IJMAS-IRAJ-DOIONLINE-7534
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Copyright: © Institute of Research and Journals
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Published on 2017-06-08 |
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