"Mathematics,science and Engineering" may seem a peculiar topic when science and Engineering seems so much more important than Mathematics. Importance, however, is concrete, and one of the facets which brings forth and shapes contemporary science and technology, is its profound mathematization. The rapid development of high speed digital computers and the increasing desire for numerical answers to applied problems have led to enhanced demands in the course dealing with methods and techniques of numerical analysis. Almost all physical phenomena in nature can be described in terms of differential equations. Differential equations also can be solved analytically or numerically.In case where both the given equation and the given domain are simple, the solution can be obtained analytically. However, methods of exact solution to general Partial differential equations are failed for irregular and geometrically complicated domains and the geometric and material non linearity of most practical problems.