Develop a Matlab function mySimpson 38 that calculates I = f y(x) dx using the composite Simpson's 3/8 method for a set of discrete data points (xi, Yi) that are equally spaced. If the number of subintervals is not divisible by 3 because there is 1 extra subinterval, calculate the integral of the last 4 subintervals using Simpson's 1/3 method. If there are 2 extra subintervals, calculate the integral for the last 2 subintervals using Simpson's 1/3 method. If the number of subintervals is zero (= 1 data point only), the function shall return a value of zero for the integral. If the number of subintervals is one (= 2 data points only), the function shall use the trapezoidal method on the single interval. If the vectors x and y are not of equal length, the function shall execute Matlab's function error("...") with an appropriate error message. As input the function shall take the column vectors x and y that contain the data points. As output the function shall give the calculated integral I. You may call/use any function developed in recitation, homework, and/or exams.
Develop a Matlab function mySimpson 38 that calculates I = f y(x) dx using the composite Simpson's 3/8 method for a set of discrete data points (xi, Yi) that are equally spaced. If the number of subintervals is not divisible by 3 because there is 1 extra subinterval, calculate the integral of the last 4 subintervals using Simpson's 1/3 method. If there are 2 extra subintervals, calculate the integral for the last 2 subintervals using Simpson's 1/3 method. If the number of subintervals is zero (= 1 data point only), the function shall return a value of zero for the integral. If the number of subintervals is one (= 2 data points only), the function shall use the trapezoidal method on the single interval. If the vectors x and y are not of equal length, the function shall execute Matlab's function error("...") with an appropriate error message. As input the function shall take the column vectors x and y that contain the data points. As output the function shall give the calculated integral I. You may call/use any function developed in recitation, homework, and/or exams.
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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MATLAB

Transcribed Image Text:●
Composite 1/3 Simpson Method
με
(
fi + 4
I(f) =
N
Σ fi +2
• Composite
i=2,4,6,...
N-1
Σ fi
i=3,5,7,...
3/8 Simpson Method
N-1
3
I(f) = =h [fi + 3
- + ² ( ) + (
Σ fitfiti
i=2,5,8,...
fi +fN+1
N-2
+2 Σ fi +fN+1
i=4,7,10,...

Transcribed Image Text:Develop a Matlab function mySimpson 38 that calculates I = f y(x) dx using the composite Simpson's 3/8 method
for a set of discrete data points (xi, yi) that are equally spaced. If the number of subintervals is not divisible by 3
because there is 1 extra subinterval, calculate the integral of the last 4 subintervals using Simpson's 1/3 method. If
there are 2 extra subintervals, calculate the integral for the last 2 subintervals using Simpson's 1/3 method.
If the number of subintervals is zero (= 1 data point only), the function shall return a value of zero for the integral. If
the number of subintervals is one (= 2 data points only), the function shall use the trapezoidal method on the single
interval. If the vectors x and y are not of equal length, the function shall execute Matlab's function error("...") with an
appropriate error message.
As input the function shall take the column vectors x and y that contain the data points. As output the function shall
give the calculated integral I. You may call/use any function developed in recitation, homework, and/or exams.
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