Numerical derivative central difference

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Arctgx
Arctgx il 24 Mar 2020
Risposto: Ameer Hamza il 25 Mar 2020
Hello, i try to write a code about central difference. But something is wrong. My code is below. What is wrong?
function derivativecentral(numericalvalue, step, n)
centraltable=[0 -1 0 1 0;0 1 -2 1 0;-1 2 0 -2 1;1 -4 6 -4 1];
x=numericalvalue-2*step: step:numericalvalue+2*step;
m=2;
if (n/2)==floor(n/2); m=1; coeff = centraltable(n,:);
der=sum(coeff.*fonk(x)) / (m*step^n);
display(der);
end
end
function [f] = fonk(x) f=x*exp(x); end
At the end of code, i am writing derivativecentral(0,0.1,1)
But there is nothing.

Risposta accettata

Ameer Hamza
Ameer Hamza il 25 Mar 2020
The code displays nothing because the condition did not become true. Try the following code with a different input
derivativecentral(0,0.1,4)
function derivativecentral(numericalvalue, step, n)
centraltable=[0 -1 0 1 0;0 1 -2 1 0;-1 2 0 -2 1;1 -4 6 -4 1];
x=numericalvalue-2*step: step:numericalvalue+2*step;
m=2;
if (n/2)==floor(n/2); m=1; coeff = centraltable(n,:);
der=sum(coeff.*fonk(x)) / (m*step^n);
display(der);
end
end
function [f] = fonk(x)
f=x.*exp(x); % <---- this is syntax for element-wise multiplication
end

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