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how to find the ansers for an elliptic integral.

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Prashanth Chandrasekar
评论： Walter Roberson 2014-2-3
I am prashanth doing a project using matlab.I am new to matlab.I want to know how to interpret an elliptic integral and how to solve an elliptic integral in matlab. My equation is as follows.
Input: syms a b phi
int((1/(sqrt(1-(((2*b)/(a+b))^2)*(sin((pi/4)-(phi/2))^2)))), phi)
Ans:(-2)*ellipticF(pi/4 - phi/2, (4*b^2)/(a + b)^2)
I want to know how the answer has to be interpreted and use in the following steps.
Thanx in advance.

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Walter Roberson
Walter Roberson 2014-2-3
You need to subs() particular values for "a" and "b" and "phi" into the answer before the value of the elliptic integral can be calculated. For example,
double( subs(Ans, {a, b, phi}, {3, 4, pi/3}) )
  2 个评论
Prashanth Chandrasekar
Prashanth Chandrasekar 2014-2-3
Thanx Walter.I want to find out the phi n the equation by iterative process.Can u describe me of the syntax and the applications of different loop conditions.
Walter Roberson
Walter Roberson 2014-2-3
EIAns = matlabFunction( subs(Ans, {a, b}, {3, 4}) ); %use appropriate a b
EI_equals = 0.3183; %whatever you need the integral to come out as if you had the correct phi
rightphi = fzero( @(phi) EIAns(phi) - EI_equals, [0 2*pi]);

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