【摘要】 本文提出了一种求解椭圆型微分方程边值问题的数值方法——格林函数叠加法.根据椭圆型微分方程的格林函数,分别采用直接求解和最小二乘法推导了其求解方程和离散求解方程.算例表明了本文方法的可靠性.更多还原

【Abstract】 This paper proposed numerical method-Green function superposition method which could be used to solve boundary value problem of elliptic partial differential equations. Based on the Green function for elliptic differential equations, resolving equation and discrete resolving equation for this problem could be derived by directly solving or least square method respectively. Computation example showed that this method would bring about higher efficient and accurate results.更多还原