TRAPEZOIDAL 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
AT (N+1) EQUALLY SPACED NUMBERS IN THE INTERVAL [A,B]:
INPUT ENDPOINTS A,B; INITIAL CONDITION ALPHA; INTEGER N;
TOLERANCE TOL; MAXIMUM NUMBER OF ITERATIONS M AT ANY ONE STEP.
OUTPUT APPROXIMATION W TO Y AT THE (N+1) VALUES OF T OR A MESSAGE
OF FAILURE
Y' = F(T,Y), A <= T <= B, Y(A)=ALPHA
AT (N+1) EQUALLY SPACED NUMBERS IN THE INTERVAL [A,B]:
INPUT ENDPOINTS A,B; INITIAL CONDITION ALPHA; INTEGER N;
TOLERANCE TOL; MAXIMUM NUMBER OF ITERATIONS M AT ANY ONE STEP.
OUTPUT APPROXIMATION W TO Y AT THE (N+1) VALUES OF T OR A MESSAGE
OF FAILURE
fortran
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