Numerical solution of Partial differential equation using finite random grids

In this paper, numerical solution of second-order basic partial differential equations is solved and compared. Various method used in solving second order partial differential equation. Numerical solution using finite difference method over (Uniform Vs Randomly) meshes Vs Theta Method are presented and discussed. To examine the practicability of PDEs through finite difference method using randomly generated grids. Numerical Solution using Finite difference method is based on grids. The idea of randomly generated meshes helps to decide the practicability and feasibility of such approaches. In this research, time, iterations, and performance measured. We have solutions through randomly generated grids having better results than uniform meshes and theta method.