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- W2031665629 abstract "We propose and implement a relaxation method for solving unsteady linear and nonlinear convection–diffusion equations with continuous or discontinuity-like initial conditions. The method transforms a convection–diffusion equation into a relaxation system, which contains a stiff source term. The resulting relaxation system is then solved by a third-order accurate implicit–explicit (IMEX) Runge–Kutta method in time and a fifth-order finite difference WENO scheme in space. Numerical results show that the method can be used to effectively solve convection–diffusion equations with both smooth structures and discontinuities." @default.
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- W2031665629 date "2011-02-01" @default.
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- W2031665629 title "Relaxation method for unsteady convection–diffusion equations" @default.
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- W2031665629 doi "https://doi.org/10.1016/j.camwa.2010.12.039" @default.
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