Plotting a high order function

Question

Gabriel Sheets 2022-3-13

0
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https://ww2.mathworks.cn/matlabcentral/answers/1670334-plotting-a-high-order-function

评论： VBBV 2022-3-30

I just solved a differential equation numerically (and solved a system of 11 eq. 11 unknowns), which is denoted by my S-variable, and am trying to plot the solution against x (same x as for the Analytical Solution -- x = 0:del_x:L). When I try to plot(x,f2(x,S)), or even plot(x,f2(x,S(1),S(2),S(3),etc.)), I get an error stating, "Too many inputs".

What am I missing in my code?

Thanks in advance!

%Consolidating b-matrix values
c1 = (7500-((50^3)/3600)*2.5)/600000;
c2 = (15000-((100^3)/3600)*2.5)/600000;
c3 = (22500-((150^3)/3600)*2.5)/600000;
c4 = (30000-((200^3)/3600)*2.5)/600000;
c5 = (37500-((250^3)/3600)*2.5)/600000;
c6 = (45000-((300^3)/3600)*2.5)/600000;
c7 = (52500-((350^3)/3600)*2.5)/600000;
c8 = (60000-((400^3)/3600)*2.5)/600000;
c9 = (67500-((450^3)/3600)*2.5)/600000;
c10 = (75000-((500^3)/3600)*2.5)/600000;
c11 = (82500-((550^3)/3600)*2.5)/600000;
%b-matrix
b = [c1;c2;c3;c4;c5;c6;c7;c8;c9;c10;c11];
%A-matrix
A = [2 1 0 0 0 0 0 0 0 0 0;
    1 2 1 0 0 0 0 0 0 0 0;
    0 1 2 1 0 0 0 0 0 0 0;
    0 0 1 2 1 0 0 0 0 0 0;
    0 0 0 1 2 1 0 0 0 0 0;
    0 0 0 0 1 2 1 0 0 0 0;
    0 0 0 0 0 1 2 1 0 0 0;
    0 0 0 0 0 0 1 2 1 0 0;
    0 0 0 0 0 0 0 1 2 1 0;
    0 0 0 0 0 0 0 0 1 2 1;
    0 0 0 0 0 0 0 0 0 1 2];
%Solution to Differential Equation
S = A\b;
f2 = @(x) (S(1)*x.^10)+(S(2)*x.^9)+(S(3)*x.^8)+(S(4)*x.^7)+(S(5)*x.^6)+(S(6)*x.^5)+(S(7)*x.^4)+(S(8)*x.^3)+(S(9)*x.^2)+(S(10)*x)+S(11);
%Plot of Analytical Solution
x = 0:del_x:L;
Unrecognized function or variable 'del_x'.
f1 = @(x,E,I,Wo,L) Wo/(120*E*I*L)*(-x.^5+(2*(L^2)*x.^3)-(x.*L^4));
subplot(2,1,1)
plot(x,f1(x,E,I,Wo,L),'r-')
xlabel('Axial Position (cm)')
ylabel('Displacement (cm)')
title('Analytical Solution')
hold on
subplot(2,1,2)
plot(x,f2(x,S),'.k')