Writing a program in c for integration of a mathematical function?

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• 
  Rahul Singh Kotesa · Birla Institute of Technology and Science Pilani

  Integration of a function is summation of the finite elements of the same function. In numerical analysis there are many ways to do it such as : Simpson's Rule, Trapezoidal Rule 1/3 and 3/8 etc etc. depending upon the function and error minimization So all u need to do is to run a *for* loop from a to b and divide it into a good number of pieces to get good results else there would be large errors(smaller the increment, better the results , though it affects ur computational time) and define the finite element function of the mathematical function. Your starting point ---> http://en.wikipedia.org/wiki/Numerical_integration Rest all is a 10 min job Cheers !!

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  Integration of a function is summation of the finite elements of the same function. In numerical analysis there are many ways to do it such as : Simpson's Rule, Trapezoidal Rule 1/3 and 3/8 etc etc. depending upon the function and error minimization
  
  So all u need to do is to run a *for* loop from a to b and divide it into a good number of pieces to get good results else there would be large errors(smaller the increment, better the results , though it affects ur computational time) and define the finite element function of the mathematical function.
  
  Your starting point ---> http://en.wikipedia.org/wiki/Numerical_integration
  
  Rest all is a 10 min job
  
  Cheers !!

  Dec 26, 2011
• 
  Rozafat Radogoshi ·

  Composite Simpson's Rule To approximate the integral I = J: f(x) dx: INPUT endpoints a, b; even positive integer n. OUTPUT approximation X I to I. Step 1 Set h = (b - a)/n. Step 2 Set XI 0 = f(a) + feb); XI 1 = 0; (Summation of f(x2i-1).) X I2 = O. (Summation of f (X2i)') Step 3 For i = 1, ... ,n - 1 do Steps 4 and 5. Step 4 Set X = a + ih. Step 5 If i is even then set XI2 = X/2 + f(X) else set XIl = XIl + f(X). Step 6 Set XI = h(XIO + 2· XI2 + 4· XIl)/3. Step 7 OUTPUT (Xl); STOP.

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  Composite Simpson's Rule
  
  To approximate the integral I = J: f(x) dx:
  
  INPUT endpoints a, b; even positive integer n.
  
  OUTPUT approximation X I to I.
  
  Step 1 Set h = (b - a)/n.
  Step 2 Set XI 0 = f(a) + feb);
  XI 1 = 0; (Summation of f(x2i-1).)
  X I2 = O. (Summation of f (X2i)')
  Step 3 For i = 1, ... ,n - 1 do Steps 4 and 5.
  Step 4 Set X = a + ih.
  Step 5 If i is even then set XI2 = X/2 + f(X)
  else set XIl = XIl + f(X).
  Step 6 Set XI = h(XIO + 2· XI2 + 4· XIl)/3.
  Step 7 OUTPUT (Xl);
  STOP.

  Dec 26, 2011
• 
  Tushar Gonjari · University of Pune

  Look for" Numerical recipes in c the art of scientific computing" its good book for all kind of mathematical computation ,I used only that its very good !! Thanks

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  Look for" Numerical recipes in c the art of scientific computing" its good book for all kind of mathematical computation ,I used only that its very good !!
  Thanks

  Dec 27, 2011
• 
  Safa Ahmed · Université Ibn Khaldoun Tiaret

  you should absolutely take a look at http://www.gnu.org/software/gsl/ it's an open scientific C library

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  you should absolutely take a look at http://www.gnu.org/software/gsl/
  it's an open scientific C library

  Jan 6, 2012