A Finite difference method using randomly generated grids as non-uniform meshes to solvethe partialdifferential equation
Sanaullah Mastoi, Wan Ainun Mior Othman · SSRN Electronic Journal · 2020
This study presents the idea of randomly generated grids for solving two-dimensional heat equations using the finite difference method. The numerical solution of the partial differential equation using the finite difference method is based on meshes usually called grids. There is no universal principle for generating meshes, by using MATLAB and generating the Random grids. In this research, the solution of heat equation using finite difference method over uniform and non-uniform called as randomly generated grids and various methods. The idea of using randomly generated meshes is compared solution-wise, iteration wise and time-wise. It has been found that the results of randomly generated grids are the best and faster convergence. This research contributes method of using random meshes to solve the partial differential equation.