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By: a guest on Mar 16th, 2012  |  syntax: None  |  size: 1.60 KB  |  views: 39  |  expires: Never
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  1.  
  2. public class Runge5 extends Runge2 {
  3.  
  4.         public static double f(double x, double y) {
  5.         double f = 1000*x;
  6.         return f;
  7.         }
  8.  
  9.        
  10.         public static void main(String[] args) {
  11.  
  12.  
  13.  
  14.  
  15.                 try{
  16.  
  17.                 double stepSize = Double.parseDouble(args[0]);
  18.  
  19.  
  20.                 /* this sets the range of the integral */
  21.          
  22.                 double initial = 0;
  23.                 double end = 1;
  24.  
  25.                 /* steps is total steps and finalY is the value of the integral */
  26.  
  27.                 double steps = (end - initial) / stepSize;
  28.                 double i = 0;
  29.                 double finalY = 0;
  30.  
  31.                 if (stepSize <= 0)
  32.                     throw new Exception("Error: Stepsize is negative or 0. \n");
  33.  
  34.                 for (i = 0; i < steps ; i++){
  35.                     finalY += rk(initial + i * stepSize,
  36.                                  0, stepSize);
  37.                 }
  38.  
  39.                 System.out.printf("The Runge Kutta method gives the value \n" );
  40.                 System.out.printf("%1.4f as the integral of x^5 * e^x^3  \n",
  41.                                   finalY);
  42.                 System.out.printf("on the interval of %1.4f to %1.4f  \n",
  43.                                   initial, end );
  44.                 System.out.printf("using %1.0f steps and a step size of %1.6f \n",
  45.                                   steps,stepSize);
  46.  
  47.                 if (stepSize > 1.0)
  48.                     throw new Exception("Warning: Stepsize is large. Values may be off.\n");
  49.                 }
  50.  
  51.                 catch(Exception e){
  52.                     System.out.printf(e.getMessage());
  53.                     System.out.printf("\nYou need to input a float point value \n");
  54.                     System.out.printf("For the value of the step size. To get a \n");
  55.                     System.out.printf("reasonable answer, this step size should \n");
  56.                     System.out.printf("be fairly small, non-negative and entered \n");
  57.                     System.out.printf("FUCKas a command line argument, thank you. \n");
  58.  
  59.                 }
  60.  
  61.  
  62.             }
  63.        
  64.  
  65.  
  66.                
  67.         }
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