How to plot midpoint method
87 次查看(过去 30 天)
显示 更早的评论
I have this code in which I use the integration with the midpoint method (with rectangles), I already have the formulas but I don't know how to plot it.
clear all
clc
close all
%Ask the user for the expression
expression = input ("Please enter the expression: ", 's');
%Convert expression to function
f = inline(expression);
%Ask for limits of the interval to be evaluated
a = input ("Enter value of a: ");
b = input ("Enter value of b: ");
%Ask for the number of intervals
m = input ("Enter value of m: ");
%calculate the value of h
h = (b-a) / m;
%Add the area of each rectangle
S = 0;
for i = 1:m
%Calculate the area of a rectangle
S = S + (h) * (f((a+(a+h))/2));
a = a+h;
end
fprintf ("The approximate value of the integral of% s is:% 7.4f \ n", expression, S);
0 个评论
采纳的回答
Pavan Guntha
2021-11-17
Hello Fausto,
In order to plot the output of midpoint method, the data corresponding to the variable to be plotted needs to be included in the logic. For instance if the required data to be plotted is the Area of rectangle (S) per each interval (m), we need to track the area of rectangle in each iteration within the for loop as illustrated below:
for i = 1:m
%Calculate the area of a rectangle
S = S + (h) * (f((a+(a+h))/2));
area(i) = (h) * (f((a+(a+h))/2)); % Track area of rectangle in each iteration.
a = a+h;
end
plot(1:m, area); % Plots area of rectangle per each iteration.
You could have a look at the following resources which implements the similar task:
Hope this helps!
更多回答(0 个)
另请参阅
类别
在 Help Center 和 File Exchange 中查找有关 Line Plots 的更多信息
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!