解扩散方程的隐-显格式和显-隐格式

Implicit-explicit Scheme and Explicit-implicit Scheme for Solving the Diffusion Equation

构造了数值求解二维扩散方程的交替隐-显格式及显-隐格式,把现有的一维格式推广至二维,理论分析证明二维格式是无条件稳定的,该格式截断误差为O(Δt2+h2).

Alternative explicit-implicit scheme and implicit-explicit scheme are proposed for numerically solving two-dimensional diffusion equation, which are generalized from one-dimensional scheme to two-dimension. Both two schemes are unconditionally stable and the truncation errors are O（△t2＋h2）.