Numerical solution of poisson equation using pascal language

Abstract

An Introduction :- Numerical solution isto be considered as one of the modem methods in solving the partial differential equations. This method of numerical solution has provided only With the spreed of computers which contributed to reflect its importance, and helps in accuracy and speed in solving this type of equations which can not be solved manually. The researcher has classified the topic into three categories where as the firest has the following title : the numerical solution for the partial deferential equation which consists of the concepet and difinition of the partial defferential equations and also some models of the method to solve any mathemetical problem with the definition of any linear equations.The second categories is titled as : the classification of partial differential equations of the second degree ,which involves the transforming the partial differential equations to ordinary ones by using Taylor formular and also using some of the numerical methods in solving the equations such as difference quotients. This section also consists of aphysical example for apartial differential equation .The third category titled as algorithms which involves poissons algorithms, laplac algorithem,each of the aforementioned algorithms has aproblem and the applicable problem for the solution using pascal problem language in writing the prblem.