Containing High Order Compact Scheme Source of Steady Convection-Diffusion Equation

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(t 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.