We present a method based on integrated radial basis function-finite difference for numerical solution of plane elastostatic equations which is a boundary value problem. The two-dimensional version of the governed equation is solved by the proposed method on various geometries such as the rectangular and irregular domains. In the current paper, one of our goals is to present an improved integrated radial basis function method based on the finite difference technique to approximate the second-order mixed partial derivatives with respect to $x$ and $y$ to get more accurate numerical results. Several examples are solved by applying integrated radial basis function based on finite difference method to check its accuracy and validity.

我们提出了一种基于积分径向基函数-有限差分的平面弹静力学方程的数值解法，该方程是一个边值问题。控制方程的二维版本通过所提出的方法在各种几何形状（例如矩形和不规则域）上求解。在当前的论文中，我们的目标之一是提出一种基于有限差分技术的改进的集成径向基函数方法来近似关于二阶混合偏导数$X$ 和 $是$以获得更准确的数值结果。应用基于有限差分法的综合径向基函数求解几个算例，验证其准确性和有效性。