Abstract:
In this thesis, we have solved the double integrals by extending Simpson’s 3/8 rule on the
regions that are either vertically or horizontally simple, (or both). The given region of
integration is discretized and the integrand is evaluated as the functional values at each grid
point (ordered pairs) on the discretized region of integration. Finally, we applied the
composite Simpson’s 3/8 rule on the 𝑥-direction and applied again the same on the 𝑦-
direction or vice versa. The error analysis of the double integrals by extending Simpson’s 3/8
rule is also discussed in this thesis. Examples are taken in order to check the validity of the
method; and it is shown that the method is more accurate as we have considered more mesh
points.
