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- W2018802571 abstract "Based on the exponent transform to eliminate the ``convection item'' in the equation and the fourth-order compact difference formulas for the first and second derivatives, two chasses of new implicit difference schemes are proposed for solving the one-dimensional convection-diffusion equation. The methods are of order $Oleft({tau ^2 + h^4} right)$ and $Oleft( {tau ^4 + h^4} right)$ respectively. The former is proved to be unconditionally stable while the later is unconditionally unstable by Fourier analysis. The result of numerical experiment shows that the $Oleft( {tau ^2 + h^4} right)$ scheme is an effective difference scheme to solve the convection diffusion problem." @default.
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- W2018802571 date "2011-08-01" @default.
- W2018802571 modified "2023-10-14" @default.
- W2018802571 title "A High-order Implicit Difference Method for the One-dimensional Convection Diffusion Equation" @default.
- W2018802571 doi "https://doi.org/10.5539/jmr.v3n3p135" @default.
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