Partial Differential Equations

1 Introduction of Partial Differential Equations

Partial differential equations arise quite often in numerous engineering and physical problems when the functions contain two or more independent variables. Several problems in fluid mechanics and solid mechanics, electromagnetic theory, heat transfer, vibrations, and many other thrust areas of engineering lead to the study of partial differential equations.

While solving the problems of an ordinary differential equation, one should find the general solution first and then determine the arbitrary constants using the initial conditions and finally evaluate the particular solution. But, the same method cannot be applicable in the case of partial differential equations. Instead, in most of the problems ...