RUNGE-KUTTA-FEHLBERG ALGORITHM
2016-08-23
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*
* TO APPROXIMATE THE SOLUTION OF THE INITIAL VALUE PROBLEM:
* Y' = F(T,Y), A<=T<=B, Y(A) = ALPHA,
* WITH LOCAL TRUNCATION ERROR WITHIN A GIVEN TOLERANCE.
*
* INPUT: ENDPOINTS A,B; INITIAL CONDITION ALPHA; TOLERANCE TOL;
* MAXIMUM STEPSIZE HMAX; MINIMUM STEPSIZE HMIN.
*
* OUTPUT: T, W, H WHERE W APPROXIMATES Y(T) AND STEPSIZE H WAS
* USED OR A M
* TO APPROXIMATE THE SOLUTION OF THE INITIAL VALUE PROBLEM:
* Y' = F(T,Y), A<=T<=B, Y(A) = ALPHA,
* WITH LOCAL TRUNCATION ERROR WITHIN A GIVEN TOLERANCE.
*
* INPUT: ENDPOINTS A,B; INITIAL CONDITION ALPHA; TOLERANCE TOL;
* MAXIMUM STEPSIZE HMAX; MINIMUM STEPSIZE HMIN.
*
* OUTPUT: T, W, H WHERE W APPROXIMATES Y(T) AND STEPSIZE H WAS
* USED OR A M
c++
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