Initializing... Initialized Initializing(2)... PI = 0.3141592653589793238462643383279486e1+/-0.313e-31 E = 0.2718281828459045235360287471352649e1+/-0.256e-30 LOG_E_10 = 0.2302585092994045684017991454684277e1+/-0.5e-30 Initialized(2) ##############ECHO OF PROBLEM################# ##############temp/sing7postode.ode################# diff ( y , x , 1 ) = m1 * 5.0 / ( x - 6.0 ) / ( x - 6.0 ) / ( x - 6.0 ) / ( x - 6.0 ) / ( x - 6.0 ) / ( x - 6.0 ) ; ! #BEGIN FIRST INPUT BLOCK # Digits:=64; ELIMINATED in preodein.rb max_terms=20 ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start=c(2.0) x_end=c(3.0) $array_y_init[0 + 1] = exact_soln_y(x_start) $glob_look_poles=true # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb $glob_type_given_pole=1 # ELIMINATED in preodein.rb $array_given_rad_poles[1][1]=c(6.0) # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb #END SECOND INPUT BLOCK #BEGIN OVERRIDE BLOCK $glob_desired_digits_correct=8 $glob_max_minutes=(20.0) $glob_subiter_method=3 $glob_max_iter=1000 $glob_upper_ratio_limit=c(1.11) $glob_lower_ratio_limit=c(0.99) # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb #END OVERRIDE BLOCK ! #BEGIN USER DEF BLOCK def exact_soln_y (x) x = c(x) return(c(1.0)/ (c( x) - c(6.0) ) / ( c(x) - c(6.0) )/ ( c(x) - c(6.0) )/ ( c(x) - c(6.0) )/ ( c(x) - c(6.0) )) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] 0.2e1+/-0.50e-31 y[1] (closed_form) -0.9765625e-3+/-0.169e-33 y[1] (numeric) -0.9765625e-3+/-0.265e-33 absolute error 0.0e0+/-0.434e-33 relative error 0.0e0+/-0.4444160000000000000000000000001538e-28% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.4000000000000000000000000000003566e1+/-0.204e-27 Order of pole (given) 0.0e0+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.21e1+/-0.5e-31 y[1] (closed_form) -0.110835010017656127930822638835507e-2+/-0.196e-33 y[1] (numeric) -0.110835009931149345462636188154177e-2+/-0.719e-33 absolute error 0.8650678246818645068133e-12+/-0.915e-33 relative error 0.7805005156259365495376003504670068e-7+/-0.825e-28% Desired digits 8 Estimated correct digits 13 Correct digits 10 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.3900000000000000000000000000003747e1+/-0.203e-27 Order of pole (given) 0.0e0+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.22e1+/-0.5e-31 y[1] (closed_form) -0.126206585439435176057177035328554e-2+/-0.195e-33 y[1] (numeric) -0.126206585238335766169331162518705e-2+/-0.121e-32 absolute error 0.201099409887845872809849e-11+/-0.14e-32 relative error 0.1593414552716432889019501756963214e-6+/-0.11e-27% Desired digits 8 Estimated correct digits 13 Correct digits 9 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.3800000000000000000000000000003889e1+/-0.203e-27 Order of pole (given) 0.0e0+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.23e1+/-0.5e-31 y[1] (closed_form) -0.144208672718229794702947222928162e-2+/-0.266e-33 y[1] (numeric) -0.14420867236420906009713817219272e-2+/-0.175e-32 absolute error 0.354020734605809050735442e-11+/-0.201e-32 relative error 0.2454919859761363476440930842399429e-6+/-0.139e-27% Desired digits 8 Estimated correct digits 13 Correct digits 9 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.3700000000000000000000000000003928e1+/-0.203e-27 Order of pole (given) 0.0e0+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.24e1+/-0.5e-31 y[1] (closed_form) -0.165381716879202018662466764890175e-2+/-0.311e-33 y[1] (numeric) -0.165381716319517814402722123769336e-2+/-0.239e-32 absolute error 0.559684204259744641120839e-11+/-0.27e-32 relative error 0.3384196359918966918506948824166419e-6+/-0.163e-27% Desired digits 8 Estimated correct digits 13 Correct digits 9 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.3600000000000000000000000000004026e1+/-0.203e-27 Order of pole (given) 0.0e0+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.25e1+/-0.5e-31 y[1] (closed_form) -0.190396858451835544713512227048253e-2+/-0.311e-33 y[1] (numeric) -0.190396857613275264566943749371191e-2+/-0.313e-32 absolute error 0.838560280146568477677062e-11+/-0.344e-32 relative error 0.4404275821382305126349494073125016e-6+/-0.18e-27% Desired digits 8 Estimated correct digits 13 Correct digits 9 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.3500000000000000000000000000004443e1+/-0.203e-27 Order of pole (given) 0.0e0+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.26e1+/-0.5e-31 y[1] (closed_form) -0.220092586788669563202491518512074e-2+/-0.367e-33 y[1] (numeric) -0.220092585568662776261682665097906e-2+/-0.402e-32 absolute error 0.1220006786940808853414168e-10+/-0.438e-32 relative error 0.5543152564753331315782657068723238e-6+/-0.199e-27% Desired digits 8 Estimated correct digits 13 Correct digits 9 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.3400000000000000000000000000004536e1+/-0.203e-27 Order of pole (given) 0.0e0+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.27e1+/-0.5e-31 y[1] (closed_form) -0.255523178213644104711047618711787e-2+/-0.435e-33 y[1] (numeric) -0.255523176467080173716322965069504e-2+/-0.505e-32 absolute error 0.1746563930994724653642283e-10+/-0.548e-32 relative error 0.6835246583910343024707962662221942e-6+/-0.214e-27% Desired digits 8 Estimated correct digits 13 Correct digits 9 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.3300000000000000000000000000004697e1+/-0.203e-27 Order of pole (given) 0.0e0+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.28e1+/-0.5e-31 y[1] (closed_form) -0.298023223876953125e-2+/-0.608e-33 y[1] (numeric) -0.2980232213964025728081903895395e-2+/-0.624e-32 absolute error 0.24805505521918096104605e-10+/-0.684e-32 relative error 0.83233464826082526531143335936e-6+/-0.229e-27% Desired digits 8 Estimated correct digits 13 Correct digits 9 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.3200000000000000000000000000004673e1+/-0.203e-27 Order of pole (given) 0.0e0+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.29e1+/-0.5e-31 y[1] (closed_form) -0.349294325912773312767814875125006e-2+/-0.735e-33 y[1] (numeric) -0.349294322398449204036794071432493e-2+/-0.769e-32 absolute error 0.3514324108731020803692513e-10+/-0.842e-32 relative error 0.1006121155718008129730543122464635e-5+/-0.241e-27% Desired digits 8 Estimated correct digits 13 Correct digits 8 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.3099999999999999999999999999999825e1+/-0.219e-28 Order of pole (given) 0.0e0+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 Finished! diff ( y , x , 1 ) = m1 * 5.0 / ( x - 6.0 ) / ( x - 6.0 ) / ( x - 6.0 ) / ( x - 6.0 ) / ( x - 6.0 ) / ( x - 6.0 ) ; Iterations 20 Total Elapsed Time 29 Seconds Elapsed Time(since restart) 29 Seconds Time to Timeout 19 Minutes 31 Seconds Percent Done 0.105e3+/-0.257e-28%