Legendre Polynomial using scilab

To find Legendre Polynomial using scilab:

AIM OF THE EXPERIMENT:

To find Legendre Polynomial using scilab

REQUISITES:

A PC/laptop.

Scilab 6.0.0 must be installed.

THEORY:

The Legendre differential equation is the second-order ordinary differential equation

To evaluate Legendre polynomial in scilab we use legendre(n,m,x) which is the associated Legendre polynomial. However we need one Legendre polynomial, so let m=0.

Let us find & plot 1st six Legendre polynomial for x=-1 to x=+1.

PROCEDURE:
1. Switch on your PC/laptop.

2. Go to all programs & open scilab 6.0.0.

3. Go to Scinotes.

4. Write the coding/program.

5. Save the file & use extension name .sci

6. Then execute & go to the scilab console window for output.
7. Go to the graphic window to get the graph which is the output.
CODING:   

clc;
clf;
n=0:5;
x=[-1:0.001:1]';
y=legendre(n,0,x)';
plot2d(x,y,leg='P0@P1@P2@P3@P4@P5');
xtitle('The first six Legendre Polynomials')
ylabel('Pn(x)');
xlabel('x');

OUTPUT:



   


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