A fifth-order finite volume weighted compact scheme for solving one-dimensional Burgers’ equation

Yan Guo, Yu-feng Shi and Yi-min Li

Applied Mathematics and Computation, 2016, vol. 281, issue C, 172-185

Abstract: In the present paper, a high-order finite volume compact scheme is proposed to solve one dimensional Burgers’ equation. The nonlinear advective terms are computed by the fifth-order finite volume weighted upwind compact scheme, in which the nonlinear weighted essentially non-oscillatory weights are coupled with lower order compact stencils. The diffusive terms are discretized by using the finite volume six-order Padé scheme. The strong stability preserving third-order Runge–Kutta time discretizations is used in this work. Numerical results are compared with the exact and some existing numerical solutions to demonstrate the essentially non-oscillatory and high resolution of the proposed method. The numerical results are shown to be more accurate than some numerical results given in the literature.

Keywords: Burgers’ equation; Finite volume method; Compact schemes; Weighted essentially non-oscillatory scheme; Padé schemes (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:281:y:2016:i:c:p:172-185

DOI: 10.1016/j.amc.2016.01.061

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