Advancement in technology and engineering poses us with many challenges, similarly in order to overcome such engineering challenges with the help of numerous mathematical models, equations are taken. Since in the beginning Mathematicians, Designers and Engineers strive for correctness and accuracy while solving equations Differential equations, in particular, hold a tremendous application in engineering and many other domains. One such type of Differential equation is known as partial differential equation. The spectrum of application of partial differential equations consists of simulation, algorithm generation, and analyzation of higher order PDE and wave equations. Adapting different numerical methods leads to a variety of answers and difference among them, therefore the selection of the method of solving is one of the crucial parameters to generate precise results. Our work focuses on the review of different numerical methods in order to solve Linear and Nonlinear differential equations on the basis of accuracy and efficiency, so as to reduce the iterations. These would be harmonizing guidelines to existing numerical methods of linear and nonlinear partial differential equations. © IJSTR 2020.