Karteikarten
Trapezium Rule
Karten in diesem Stapel (6)
- 1How do we calculate the area of a trapezium?(a+b)h / 2
- 2Diagram for trapezium rule:
- 3What is the trapezium rule?Area = 0.5 h (y0 + yn + 2(y1 + y2 + ... + yn-1))
(h = strip width , y0 = first ordinate , yn = last ordinate) - 4How could we improve the accuracy of the trapezium rule?Use more strips
Use a lower strip width - 5Find using the trapezium rule with 4 strips the area under y=x^2 e^x between x=1 and x=2Strip width = 1/4 = 0.25 , y0 = 1 , yn = 2
A = 0.5(0.25)(1^2 e^1 + 2^2 e^2 + 2(1.25^2 e^1.25 + 1.5^2 e^1.5 + 1.75^2 e^1.75) = 12.3 - 6Depending on our strip width, we must make sure we...USe appropiate functions (e.g instead of f(1) + f(2) .... , it might be f(1) + f(1.5) + f(2) .