Comparison of high-order accurate schemes for solving the nonlinear viscous burgers equation

• Main Authors: M. Elfaghi, Abdulhafid, Asrar, Waqar, A. Omar, Ashraf
• Format: Article
• Language: English
• Published: AENSI Publishing Corporation 2009
• Subjects: T Technology (General)
• Online Access: http://eprints.uthm.edu.my/7128/1/J14087_c8869f98803fea24dd3c8030745d5985.pdf; http://eprints.uthm.edu.my/7128/

In this paper, a comparison between h ig h e r order schemes has been performed in terms of numerical accuracy. Four finite difference schemes, the e xp lic it fourth-order compact Pade scheme, the implicit fourth-order Pade scheme, flowfield dependent variation (FDV) meth o d a n d h igh order compact flowfie ld dependent variation (HOC-FDV) scheme are tested. The FDV scheme is used for time disc retization and the fourth-order compact Pade scheme is used for spatial derivatives. The solution procedures c o n sist of a number of tri-diagonal matrix operations and produce an efficient solver. The comparisons are performed u sin g one dimensional nonlinear viscous Burgers equation to demonstrate the accuracy and the convergence characteristics o f the high-resolution schemes. The numerical results show that HOC-FDV is highly accurate in co mparison with analytical and with other higher order schemes.