Initializing... Initialized Initializing(2)... PI = 0.314159265358979323846264338327950271e1+/-0.313e-33 E = 0.271828182845904523536028747135266232e1+/-0.256e-32 LOG_E_10 = 0.230258509299404568401799145468436324e1+/-0.5e-32 Initialized(2) ##############ECHO OF PROBLEM################# ##############temp/sqrtpostode.ode################# diff ( y , x , 1 ) = sqrt ( x ) ; ! #BEGIN FIRST INPUT BLOCK # Digits:=32; ELIMINATED in preodein.rb max_terms=40 ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start=c(0.1) x_end=c(0.2) $array_y_init[0 + 1] = exact_soln_y(x_start) $glob_look_poles=true $glob_min_h=c(0.001) $glob_max_h=c(0.01) # 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(0.0) # ELIMINATED in preodein.rb $array_given_rad_poles[1][2]=c(0.0) # ELIMINATED in preodein.rb $array_given_ord_poles[1][1]=c(1.5) # ELIMINATED in preodein.rb $array_given_ord_poles[1][2]=c(0.0) #END SECOND INPUT BLOCK #BEGIN OVERRIDE BLOCK $glob_desired_digits_correct=8 $glob_max_minutes=(3.0) $glob_subiter_method=3 $glob_max_iter=100000 $glob_upper_ratio_limit=c(1.000001) $glob_lower_ratio_limit=c(0.999999) $glob_look_poles=true $glob_h=c(0.001) $glob_display_interval=c(0.01) #END OVERRIDE BLOCK ! #BEGIN USER DEF BLOCK def exact_soln_y (x) x = c(x) return(c(2.0)*expt(c(x),c(1.5))/c(3.0)) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] 0.1e0+/-0.50e-33 y[1] (closed_form) 0.210818510677891955466592902962192214e-1+/-0.326e-32 y[1] (numeric) 0.210818510677891955466592902962192214e-1+/-0.327e-32 $glob_prec 0.1e-15+/-0.50e-49% absolute error 0.0e0+/-0.653e-32 relative error 0.0e0+/-0.309745096813492755569291622677264445e-28% Desired digits 8 Estimated correct digits 14 Correct digits 34 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.100000000000000000000000000000001802e0+/-0.174e-32 Order of pole (given) 0.15e1+/-0.50e-33 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1000000000000001921000000000003707e0+/-0.333e-29 Order of pole (three term test) 0.149999999999994043349999999988612098e1+/-0.837e-25 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.11e0+/-0.550e-32 y[1] (closed_form) 0.243219151292729322268428400689195082e-1+/-0.363e-31 y[1] (numeric) 0.243219151292729322268440752486070273e-1+/-0.58e-32 absolute error 0.12351796875191e-23+/-0.421e-31 relative error 0.507846393244126033024353459468882881e-20+/-0.173e-27% Desired digits 8 Estimated correct digits 13 Correct digits 21 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.110000000000000000000000000000001654e0+/-0.117e-31 Order of pole (given) 0.15e1+/-0.50e-33 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.11000000000000021131000000000040707e0+/-0.828e-29 Order of pole (three term test) 0.149999999999994043349999999988620748e1+/-0.19e-24 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.12e0+/-0.105e-31 y[1] (closed_form) 0.277128129211020366964391414640951003e-1+/-0.72e-31 y[1] (numeric) 0.277128129211020366964414533404984152e-1+/-0.984e-32 absolute error 0.23118764033149e-23+/-0.818e-31 relative error 0.834226539866875835710843185314111164e-20+/-0.295e-27% Desired digits 8 Estimated correct digits 13 Correct digits 21 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.120000000000000000000000000000001485e0+/-0.218e-31 Order of pole (given) 0.15e1+/-0.50e-33 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.120000000000000230520000000000443e0+/-0.132e-28 Order of pole (three term test) 0.149999999999994043349999999988637157e1+/-0.28e-24 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.13e0+/-0.155e-31 y[1] (closed_form) 0.312481110540212405403665843180788768e-1+/-0.11e-30 y[1] (numeric) 0.312481110540212405403698456365158594e-1+/-0.147e-31 absolute error 0.32613184369826e-23+/-0.124e-30 relative error 0.104368498670031101352312782351922725e-19+/-0.396e-27% Desired digits 8 Estimated correct digits 13 Correct digits 20 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.130000000000000000000000000000001311e0+/-0.315e-31 Order of pole (given) 0.15e1+/-0.50e-33 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.13000000000000024973000000000048021e0+/-0.178e-28 Order of pole (three term test) 0.14999999999999404334999999998862708e1+/-0.35e-24 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.14e0+/-0.205e-31 y[1] (closed_form) 0.349221356098901195987816548349557886e-1+/-0.152e-30 y[1] (numeric) 0.34922135609890119598785761581962568e-1+/-0.199e-31 absolute error 0.41067470067794e-23+/-0.171e-30 relative error 0.117597246991285067994774195800668419e-19+/-0.489e-27% Desired digits 8 Estimated correct digits 13 Correct digits 20 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.140000000000000000000000000000001294e0+/-0.415e-31 Order of pole (given) 0.15e1+/-0.50e-33 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.14000000000000026894000000000051678e0+/-0.133e-28 Order of pole (three term test) 0.149999999999994043349999999988631885e1+/-0.239e-24 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.15e0+/-0.255e-31 y[1] (closed_form) 0.387298334620741688517926539978253313e-1+/-0.196e-30 y[1] (numeric) 0.387298334620741688517975198621474343e-1+/-0.242e-31 absolute error 0.4865864322103e-23+/-0.22e-30 relative error 0.125636076562731740786890146814287063e-19+/-0.568e-27% Desired digits 8 Estimated correct digits 13 Correct digits 20 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.150000000000000000000000000000001154e0+/-0.517e-31 Order of pole (given) 0.15e1+/-0.50e-33 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.15000000000000028815000000000055314e0+/-0.158e-28 Order of pole (three term test) 0.149999999999994043349999999988635149e1+/-0.267e-24 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.16e0+/-0.305e-31 y[1] (closed_form) 0.426666666666666666666666666666679893e-1+/-0.242e-30 y[1] (numeric) 0.426666666666666666666722190895733893e-1+/-0.292e-31 absolute error 0.55524229054e-23+/-0.271e-30 relative error 0.130134911845312499999999999999995965e-19+/-0.635e-27% Desired digits 8 Estimated correct digits 13 Correct digits 20 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.16000000000000000000000000000000113e0+/-0.618e-31 Order of pole (given) 0.15e1+/-0.50e-33 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.16000000000000030736000000000058992e0+/-0.186e-28 Order of pole (three term test) 0.149999999999994043349999999988629284e1+/-0.295e-24 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.17e0+/-0.355e-31 y[1] (closed_form) 0.467285304236668195646426450343742896e-1+/-0.29e-30 y[1] (numeric) 0.467285304236668195646488223252537408e-1+/-0.348e-31 absolute error 0.61772908794512e-23+/-0.324e-30 relative error 0.132195273924611981906619075894332271e-19+/-0.693e-27% Desired digits 8 Estimated correct digits 13 Correct digits 20 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.170000000000000000000000000000001004e0+/-0.714e-31 Order of pole (given) 0.15e1+/-0.50e-33 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.17000000000000032657000000000062685e0+/-0.205e-28 Order of pole (three term test) 0.149999999999994043349999999988627662e1+/-0.309e-24 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.18e0+/-0.405e-31 y[1] (closed_form) 0.509116882454314217568607940715505183e-1+/-0.34e-30 y[1] (numeric) 0.509116882454314217568675432574477279e-1+/-0.408e-31 absolute error 0.67491858972096e-23+/-0.38e-30 relative error 0.132566530983486696087309514020119313e-19+/-0.746e-27% Desired digits 8 Estimated correct digits 13 Correct digits 20 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.180000000000000000000000000000000948e0+/-0.814e-31 Order of pole (given) 0.15e1+/-0.50e-33 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.18000000000000034578000000000066449e0+/-0.233e-28 Order of pole (three term test) 0.149999999999994043349999999988608316e1+/-0.33e-24 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.19e0+/-0.455e-31 y[1] (closed_form) 0.552127199515151983283351051288898896e-1+/-0.393e-30 y[1] (numeric) 0.552127199515151983283423803219044438e-1+/-0.475e-31 absolute error 0.72751930145542e-23+/-0.44e-30 relative error 0.131766611406626553102213144116627093e-19+/-0.796e-27% Desired digits 8 Estimated correct digits 13 Correct digits 20 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.190000000000000000000000000000000898e0+/-0.913e-31 Order of pole (given) 0.15e1+/-0.50e-33 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.19000000000000036499000000000070024e0+/-0.256e-28 Order of pole (three term test) 0.149999999999994043349999999988624672e1+/-0.342e-24 NO COMPLEX POLE (six term test) for Equation 1 Finished! diff ( y , x , 1 ) = sqrt ( x ) ; Iterations 100 Total Elapsed Time 2 Minutes 14 Seconds Elapsed Time(since restart) 2 Minutes 13 Seconds Time to Timeout 46 Seconds Percent Done 0.101e3+/-0.525e-28%