Numerical Modelling in Fortran: day 2
Numerical Modelling in Fortran: day 2
Numerical Modelling in Fortran: day 2
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F<strong>in</strong>ite Difference grid <strong>in</strong> 1-D<br />
• Grid po<strong>in</strong>ts x 0 , x 1 , x 2 …x N<br />
• Here xi=x 0 +i*h<br />
• Function values y 0 , y 1 , y 2 …y N<br />
• Stored <strong>in</strong> array y(i)<br />
• (<strong>Fortran</strong>, by default, starts<br />
arrays at i=1, but you can<br />
change this to i=0)<br />
⎛<br />
⎝<br />
⎜<br />
dy<br />
dx<br />
⎞<br />
⎠<br />
⎟<br />
i<br />
≈ Δy<br />
Δx<br />
=<br />
y(i +1) − y(i)<br />
h
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