Partial Differential Equations

Most physical as well as engineering systems one encounters in real life can be mathematically modeled using a system of partial differential equations subject to appropriate boundary conditions. These partial differential equations are coupled as well as nonlinear in nature. Owing to their nonlinearity, systems of partial differential equations that represent physical and engineering phenomena do not have closedform or analytical solutions. Thus, the only alternative available to a scientist or a engineer is to seek a numerical solution for the aforementioned systems of partial differential equations.