A Study on Partial Differential Equations and Their Scope: Exploring the Applications and Solving Methods of Partial Differential Equations

Abstract

In mathematics,a partial differential equation(PDE) is a differential equation that containsunknown multivariable functions andtheir partial derivatives. (This is in contrastto ordinary differential equations (ODEs), which deal with functionsof a single variable and their derivatives.) PDEs are used to formulateproblems involving functions of several variables, and are either solved byhand, or used to create a relevant computermodel.