【摘要】 用待定系数法构造了求解抛物型方程的一个高精度隐式格式.格式的截断误差达到O(τ4+h4).证明了当r>1/12时,差分格式是稳定的.通过数值试验,比较了差分格式的解和精确解的区别,说明了差分格式的有效性.更多还原

【Abstract】 An implicit difference scheme with high accuracy for solving one-dimensional parabolic equation is proposed in this paper,using the method of undetermined parameters.The truncation error of the scheme is O(τ4+h4).The difference scheme is proved to be stable if r>1/12.The numerical experiment shows that the numerical solutions of difference scheme and the exact solutions are matched and the difference scheme is effective.更多还原