##############ECHO OF PROBLEM################# ##############temp/expt_sin_sin_new_sm_hpostode.ode################# diff ( y , x , 1 ) = expt ( sin ( 2.0 * x + 3.0 ), sin ( x + 1.0 ) ) * ( ( cos ( x + 1.0 ) * ln ( sin ( 2.0 * x + 3.0 ) )) + ( ( 2.0 * sin ( x + 1.0 ) * cos ( 2.0 * x + 3.0 ) ) / sin( 2.0 * x + 3.0 ) ) ); ! /* BEGIN FIRST INPUT BLOCK */ Digits=32; max_terms=30; ! /* END FIRST INPUT BLOCK */ /* BEGIN SECOND INPUT BLOCK */ x_start=1.8; x_end=1.81; array_y_init[0 + 1] = exact_soln_y(x_start); glob_look_poles=true; glob_max_iter=1000000; glob_max_h=0.000001; /* END SECOND INPUT BLOCK */ /* BEGIN OVERRIDE BLOCK */ glob_desired_digits_correct=10; glob_display_interval=0.01; glob_look_poles=true; glob_max_iter=10000000; glob_max_minutes=3; glob_subiter_method=3; /* END OVERRIDE BLOCK */ ! /* BEGIN USER DEF BLOCK */ double exact_soln_y (double x) { return(expt(sin(2.0*x+3.0),sin(x+1.0))); } /* END USER DEF BLOCK */ #######END OF ECHO OF PROBLEM################# START of Optimize min_size = 0 min_size = 1 glob_desired_digits_correct = 10 desired_abs_gbl_error = 1e-10 range = 0.01000000000000001 estimated_steps = 10000.00000000001 step_error = 9.999999999999991e-15 est_needed_step_err = 9.999999999999991e-15 opt_iter = 1 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.146572728549469e-137 estimated_step_error = 1.146572728549469e-137 best_h = 1e-06 START of Soultion TOP MAIN SOLVE Loop x[1] = 1.8 y[1] (analytic) = 0.6766027626496453 y[1] (numeric) = 0.6766027626496453 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-06 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.1656 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.2036 Order of pole (six term test) = -0.0005816 Finished! diff ( y , x , 1 ) = expt ( sin ( 2.0 * x + 3.0 ), sin ( x + 1.0 ) ) * ( ( cos ( x + 1.0 ) * ln ( sin ( 2.0 * x + 3.0 ) )) + ( ( 2.0 * sin ( x + 1.0 ) * cos ( 2.0 * x + 3.0 ) ) / sin( 2.0 * x + 3.0 ) ) ); Iterations = 10001 Total Elapsed Time = 1 Seconds Elapsed Time(since restart) = 1 Seconds Time to Timeout = 2 Minutes 59 Seconds Percent Done = 100 %