ABSTRACT
Partial differential equations are considered basic tools of several mathematical models regarding chemical, physical and biological phenomena as well as associated applications that have also been provided in the field of economics, financial forecasting, and other numerous fields. It is a need of time to approximate solutions of such Partial Differential Equations from a numerical aspect to investigate predictions of diversified mathematical models, as finding exact solutions is cumbersome to obtain in most complex cases. While dealing with ADE, the initial question triggered into the mind is regarding the necessity of dealing with the ADE or it can be said like why so much effort is to be implemented regarding the ADE. The notion about it is that the ADE is the base of many important phenomena in sciences and engineering, and at the same time, it helps in the study of the more advanced and complex Navier-Stokes equation.
