Semi-Numerical Solution of Some Partial Differential Equation Models : in Hydrodynamics and surface science

Most problems in engineering and science are modeled by partial differential equations. These partial differential equations often contain non-linearities and stochastic terms which makes their analytical solution cumbersome and sometimes nonexistent. We present a basic intoduction to using semi-analtyic-numerical methods to solve this partial differential equations and hence understanding the nature of the problems they describe.