含两参数的抛物型方程混合问题的差分解法

The Difference Method for Solving Mixed Problems of the Parabolic Equation Involving Two Small Parameters

研究含２个小参数的抛物型方程的奇异摄动问题，构造了指数拟合差分格式并证明了差分格式的解一阶一致收敛于微分方程的解，提高了一致收敛的精度．

The mixed problem of the parabolic equation involving two small parameters is considered.We construct an exponentially fitted difference scheme and prove that the solution of the difference scheme converges uniformly to the solution of the original differential equation with order one.