Let be F the functional given by(adsbygoogle = window.adsbygoogle || []).push({});

[tex]J(y)=J(x,y,dy/dx)[/tex]

my question is,apart from the usual definition of functional derivative and Lagrange equation,..does a numerical method exist to calculate it,i mean am looking for a recursive method,you introduce an initial function y0(x) from this you get a function y1(x) and os on with the limit with n tending to infinty taht d(yn(x),yn+1(x))=0 as n tends to infintiy

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# Minimum of functional

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