Distinguish, differentiate, compare and explain what is the difference between Trapezoidal and Simpson’s rule.
Comparison and Difference between Trapezoidal and Simpson’s Rule
- In trapezoidal, the boundary between the ordinates is considered straight. In Simpson’s, the boundary between the ordinates is considered parabolic.
- In trapezoidal, there is no limitation, it is applicable for any number of ordinates. In Simpson’s, the number of divisions should be even in this case.
- The Trapezoidal rule gives an approximate result. Simpson’s rule gives accurate results.
- The result obtained by the trapezoidal rule are not affected because the boundary between the ordinates is considered straight. The result obtained by Simpson’s rule are greater or lesser as the curve of the boundary is convex or concave towards the baseline.