Abstract
Here, we are concerned with the establishment and conclusions of solving partial differential equation problems using finite difference method and how they can be used to interpret physical problems. We will start with defining equations, history/origin (background study), list of types of equations, then introducing partial differential equations, then we define finite difference method its importance and its importance in solving partial differential equations and its different applications.
Partial differential equations can be classified into the criteria of order, number of dependent variables, linearity, coefficients, types of equation, homogeneity, symmetry, nature of solution, boundary condition, linear independence of solutions, separation of variables, consistency, dispersion relations and solvability