Convection-diffusion equation have a wide range of applications in many practical engineering problems, such as magnetic confinement fusion problems, heat transfer, particle diffusion. Traditional solutionof convection-diffusion equation in magnetic confinement fusion is Crank-Nicolson scheme. This paper presents a new numerical solution of one-dimensional steady-containing source convection diffusion equation high accuracy difference schemes O (τ~2 + h~4), which proved to be unconditionally stable using Fourier analysis, numerical experiments show the accuracy and robustness of this format, this scheme has a higher accuracy.
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