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Simpson Rule

Raj Kumar

01/02/2018 0 0

In Simpson's Rule, we will use parabolas to approximate each part of the curve. This proves to be very efficient since it's generally more accurate than the other numerical methods we've seen.

We divide the area inton equal segments of width delta x,

Simpson's Rule:

Area =∫ab f(x) dx

=Δx/3(y0+4y1+2y₂+4y₃+2y₄+..........4y_n-1+y_n)

_Δx=b-a/n

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Simpson Rule

In Simpson's Rule, we will use parabolas to approximate each part of the curve. This proves to be very efficient since it's generally more accurate than the other numerical methods we've seen.

We divide the area inton equal segments of width delta x,

Simpson's Rule:

Area =∫ab f(x) dx

=Δx/3(y0+4y1+2y2+4y3+2y4+..........4yn-1+yn)

Δx=b-a/n

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=Δx/3(y0+4y1+2y₂+4y₃+2y₄+..........4y_n-1+y_n)

_Δx=b-a/n