提出了数值求解三维热传导方程的一种无条件稳定的高精度半显式差分方法,该方法可以显式计算且计算量小,截断误差为0(τ^2+h^4).数值算例验证了方法的精确性和可靠性.
An unconditionally stable semi-explicit high-order difference method which is of order is proposed for solving three-dimensional(3D) heat conduction equation. The method can be used to compute explicitly, so the cost is small. Numerical experiment proves its accuracy and reliabilty