# Numerical Differentiation

Versione 1.2.0.0 (249 KB) da
Performs single dimensional differentiation numerically.
Aggiornato 3 feb 2009

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This is a GUI which performs numerical differentiation of a function over a number of equaly spaced points. Also with it is a code that grants the coefficients used for numerical differentiation.

The pictures and example should be more than enough for understanding how to use the file.

Example:

npoints=3;
Order=1;
d=datnum(npoints,Order)
d=
-1.5 2 -0.5 % Forward
-0.5 -0 0.5 % Central
0.5 -2 1.5 % Backward

% The result is a matrix consisting of coefficients that can be
% used to numerically differentiate, like this:

x=1;
f=inline('cos(x)')
h=.1;

s = ( d(1,1)*f(x) + d(1,2)*f(x+h) + d(1,3)*f(x+2*h) )/h^Order
s =
-0.8444

s = ( d(2,1)*f(x-h) + d(2,2)*f(x) + d(2,3)*f(x+h) )/h^Order
s =
-0.84007

s = ( d(3,1)*f(x-2*h) + d(3,2)*f(x-h) + d(3,3)*f(x) )/h^Order
s =
-0.84413

% The true answer is s = -0.84147

The code uses the Symbolic Math Toolbox to obtain the true value (in order to calculate the error). If you don't have the Symbolic Math Toolbox then you won't enjoy this benefit (program still works though).

### Cita come

Husam Aldahiyat (2024). Numerical Differentiation (https://www.mathworks.com/matlabcentral/fileexchange/22807-numerical-differentiation), MATLAB Central File Exchange. Recuperato .

##### Compatibilità della release di MATLAB
Creato con R2007a
Compatibile con qualsiasi release
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##### Categorie
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##### Riconoscimenti

Ispirato da: Adaptive Robust Numerical Differentiation

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Versione Pubblicato Note della release
1.2.0.0

Edited description

1.1.0.0

Symbolic Math Toolbox is now an optional feature

1.0.0.0