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/mult_sin_sinpostode.ode################# diff ( y , x , 1 ) = sin ( x ) * sin ( x ) ; ! #BEGIN FIRST INPUT BLOCK # Digits:=32; ELIMINATED in preodein.rb max_terms=30 ! #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 # 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 # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb $glob_type_given_pole=3 # ELIMINATED in preodein.rb #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(((sin(c(x))) * cos(c(x)))/c(-2.0) + c(x)/c(2.0)) 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) 0.332667301234696135146843220402564e-3+/-0.672e-33 y[1] (numeric) 0.332667301234696135146843220402564e-3+/-0.672e-33 $glob_prec 0.1e-15+/-0.50e-49% absolute error 0.0e0+/-0.1344e-32 relative error 0.0e0+/-0.404007245380516256203583126997048464e-27% Desired digits 8 Estimated correct digits 14 Correct digits 34 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.973545855771626284709848852417738522e-1+/-0.217e-29 Order of pole (three term test) 0.229605304970014425347268109716635397e2+/-0.7e-27 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.11e0+/-0.550e-32 y[1] (closed_form) 0.442594229782670012052248635746733e-3+/-0.554e-32 y[1] (numeric) 0.442594229782670012051922561498489967e-3+/-0.729e-33 absolute error 0.326074248243033e-24+/-0.626e-32 relative error 0.736734069947426577482431320110627439e-19+/-0.141e-26% Desired digits 8 Estimated correct digits 13 Correct digits 20 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.106484866266499906614921065187643948e0+/-0.238e-29 Order of pole (three term test) 0.229523758316099817006000938668679493e2+/-0.706e-27 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.12e0+/-0.105e-31 y[1] (closed_form) 0.574343393216352909801978877546179e-3+/-0.104e-31 y[1] (numeric) 0.574343393216352909801328177359104542e-3+/-0.809e-33 absolute error 0.650700187074458e-24+/-0.112e-31 relative error 0.113294623871357354432927374696072126e-18+/-0.195e-26% Desired digits 8 Estimated correct digits 13 Correct digits 19 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.115444793885370728524592933709242696e0+/-0.258e-29 Order of pole (three term test) 0.22943497461389642087817417109173417e2+/-0.7e-27 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.13e0+/-0.155e-31 y[1] (closed_form) 0.729862026961225661652883908694641e-3+/-0.154e-31 y[1] (numeric) 0.72986202696122566165191016072419194e-3+/-0.914e-33 absolute error 0.97374797044906e-24+/-0.163e-31 relative error 0.133415348994556051732519427227240647e-18+/-0.223e-26% Desired digits 8 Estimated correct digits 13 Correct digits 19 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.124220034460934185088780408251240225e0+/-0.281e-29 Order of pole (three term test) 0.229339095898388249393307694451153804e2+/-0.706e-27 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.14e0+/-0.205e-31 y[1] (closed_form) 0.911087858971566670082610385537969e-3+/-0.204e-31 y[1] (numeric) 0.911087858971566670081315297154404307e-3+/-0.103e-32 absolute error 0.1295088383564693e-23+/-0.214e-31 relative error 0.142147474671277587559480604913691075e-18+/-0.234e-26% Desired digits 8 Estimated correct digits 13 Correct digits 19 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.132796549480220857676955036694262653e0+/-0.3e-29 Order of pole (three term test) 0.22923627555506708050632276570020827e2+/-0.706e-27 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.15e0+/-0.255e-31 y[1] (closed_form) 0.1119948334665106223669813578743163e-2+/-0.254e-31 y[1] (numeric) 0.111994833466510622366819898584862425e-2+/-0.113e-32 absolute error 0.161459289453875e-23+/-0.265e-31 relative error 0.144166730246672977743641738329099698e-18+/-0.236e-26% Desired digits 8 Estimated correct digits 13 Correct digits 19 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.141160618348758846164811466683942212e0+/-0.32e-29 Order of pole (three term test) 0.229126678074548391345923468479645062e2+/-0.713e-27 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.16e0+/-0.305e-31 y[1] (closed_form) 0.1358359845970558334560614145713047e-2+/-0.304e-31 y[1] (numeric) 0.135835984597055833455868201200722238e-2+/-0.129e-32 absolute error 0.193213370582462e-23+/-0.316e-31 relative error 0.142240195891840127508804661216076044e-18+/-0.232e-26% Desired digits 8 Estimated correct digits 13 Correct digits 19 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.149298860340598019925888374809103891e0+/-0.34e-29 Order of pole (three term test) 0.229010478789421462911007900015331828e2+/-0.713e-27 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.17e0+/-0.355e-31 y[1] (closed_form) 0.1628226964796400804557128242303008e-2+/-0.354e-31 y[1] (numeric) 0.162822696479640080455488065849767242e-2+/-0.149e-32 absolute error 0.224758380533558e-23+/-0.368e-31 relative error 0.138038728870739819824835870382495897e-18+/-0.226e-26% Desired digits 8 Estimated correct digits 13 Correct digits 19 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.157198256004617135409797029532728353e0+/-0.361e-29 Order of pole (three term test) 0.228887863593754639511944476916333846e2+/-0.72e-27 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.18e0+/-0.405e-31 y[1] (closed_form) 0.1931441681227505787521641019817314e-2+/-0.404e-31 y[1] (numeric) 0.193144168122750578751908020280008126e-2+/-0.169e-32 absolute error 0.256081701723274e-23+/-0.42e-31 relative error 0.132585779944711655893640920537952638e-18+/-0.217e-26% Desired digits 8 Estimated correct digits 13 Correct digits 19 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.164846167992868295354234756441754326e0+/-0.382e-29 Order of pole (three term test) 0.22875902864570447470592065073365174e2+/-0.733e-27 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.19e0+/-0.455e-31 y[1] (closed_form) 0.2269882646754332038628633412699096e-2+/-0.454e-31 y[1] (numeric) 0.226988264675433203862576170464668256e-2+/-0.199e-32 absolute error 0.287170805241344e-23+/-0.473e-31 relative error 0.126513503088789556436383039222990633e-18+/-0.208e-26% Desired digits 8 Estimated correct digits 13 Correct digits 19 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.172230361277637841639221822760536227e0+/-0.4e-29 Order of pole (three term test) 0.22862418005370452565286882851872245e2+/-0.733e-27 NO COMPLEX POLE (six term test) for Equation 1 Finished! diff ( y , x , 1 ) = sin ( x ) * sin ( x ) ; Iterations 100 Total Elapsed Time 1 Minutes 56 Seconds Elapsed Time(since restart) 1 Minutes 56 Seconds Time to Timeout 1 Minutes 4 Seconds Percent Done 0.101e3+/-0.525e-28%