Gradient Operator of Discrete Solution of Poisson Equation

摘要

In this study collocation method is used to deduce explicit schemes for the gradient of discrete solutions of Poisson equation. The truncation errors show that the numerical gradient has fourth-order accuracy. The cubic and bicubic Hermite interpolation are applied for finite difference post-process. The direct solver based on sine transformation is used to solve compact schemes. The numerical experiment shows that the method is efficient.