求解二维扩散方程的有限近似解法

提出求解二维扩散方程的新方法———有限近似解法7点格式,对非规则区域定常扩散方程和规则区域非定常扩散方程的计算与精确解比较,表明这一方法较有限分析法计算简单,计算精度高,并且可以适用于不规则边界区域的计算。最后计算了典型的坝基渗流流场,计算结果与实验结果吻合较好。

Finite Difference Scheme for Solving Parabolic Partial Differential Equations with Random Variable Input under Mean Square Sense

This study deal with seven points finite difference method to find the approximation solutions in the area of mean square calculus solutions for linear random parabolic partial differential equations. Several numerical examples are presented to show the ability and efficiency of this method.