The main objective of this project IS to find the numerical solutions of the elliptic partial differential equation by using Finite Volume Method. That is, to introduce the Finite Volume Method and its error estimation and to compare the exact values and numerical values of the partial differential equation. This is done by descritizng the region, into finite smaller regions, called control volume. Control volume can be subinterval or polygon inlD and 2D respectively.

A dissertation Submitted in the partial fulfillment of the requirements of for the degree of master science in mathematics