Finite difference algorithm on Finite random grids
Sanaullah Mastoi, Ali Bux Mugheri Mugheri, Nabi Bux Kalhoro, Arifa Bano Talpur, Umair Ahmed Rajput, Ruqia Bano Mastoi, Niamtullah Mastoi, Wan Ainun Mior Othman · SSRN Electronic Journal · 2021
In this study, the idea of randomly generated grids presented for solving two-dimensional partial differential equations using the finite difference method. The finite difference method is based on meshes usually called grids. There is no rule for generating meshes. In this paper, we are using MATLAB code for generating random grids. The numerical solution of the engineering model using the finite difference method over the uniform, randomly generated grids are compared and analyzed. It is concluded that the novel method that is “randomly generated grids” is converging solution-wise, iteration wise and computational time-wise. This research contributes method, which is random meshes to solve the partial differential equation