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• W2280851575 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." @default.
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• W2280851575 date "2016-04-01" @default.
• W2280851575 modified "2023-10-18" @default.
• W2280851575 title "A fifth-order finite volume weighted compact scheme for solving one-dimensional Burgers’ equation" @default.
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• W2280851575 doi "https://doi.org/10.1016/j.amc.2016.01.061" @default.
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