Numerical Solutions of Second order fractionalPDE’s by using Finite-difference Method over randomly generated grids

Abstract

In this paper, we are solving second order fractional partial differential equation(FPDE’S), using finite difference method over (Uniform Vs Randomly) meshes Vs Theta Method. The main purpose to examine Numerical solution of FPDEs 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.