Simulation of plane elastostatic equations of anisotropic functionally graded materials by integrated radial basis function based on finite difference approach

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 toto 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.

Automated summary

In this study, a method based on integrated radial basis function-finite difference is proposed to solve the numerical solution of plane elastostatic equations, aiming to obtain more accurate numerical results. Several examples are solved to verify the accuracy and validity of the method.