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/h5h3postode.ode################# diff ( y , x , 5 ) = m1 * diff ( y , x , 3 ) ; ! #BEGIN FIRST INPUT BLOCK # Digits:=64; ELIMINATED in preodein.rb max_terms=40 ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start=c(0.1) x_end=c(1.5) # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb $array_y_init[0 + 1] = exact_soln_y(x_start) $array_y_init[1 + 1] = exact_soln_yp(x_start) $array_y_init[2 + 1] = exact_soln_ypp(x_start) $array_y_init[3 + 1] = exact_soln_yppp(x_start) $array_y_init[4 + 1] = exact_soln_ypppp(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=3 #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) $glob_lower_ratio_limit=c(0.99) # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb #END OVERRIDE BLOCK ! #BEGIN USER DEF BLOCK def exact_soln_y (x) x = c(x) return(cos(c(x))) end def exact_soln_yp (x) x = c(x) return($glob__m1 * sin(c(x))) end def exact_soln_ypp (x) x = c(x) return($glob__m1 * cos(c(x))) end def exact_soln_yppp (x) x = c(x) return(sin(x)) end def exact_soln_ypppp (x) x = c(x) return(cos(c(x))) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] 0.1e0+/-0.50e-31 y[1] (closed_form) 0.9950041652780257660955619878038697e0+/-0.106e-31 y[1] (numeric) 0.9950041652780257660955619878038697e0+/-0.11e-30 absolute error 0.0e0+/-0.1206e-30 relative error 0.0e0+/-0.1212055227590949246728927606181859e-28% Desired digits 8 Estimated correct digits 14 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 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] 0.2e0+/-0.5e-31 y[1] (closed_form) 0.9800665778412416311241965167481681e0+/-0.182e-31 y[1] (numeric) 0.980066579927313922984918660544951e0+/-0.434e-30 absolute error 0.20860722918607221437967829e-8+/-0.452e-30 relative error 0.2128500592740995832684669182054254e-6+/-0.461e-28% Desired digits 8 Estimated correct digits 13 Correct digits 9 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 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] 0.3e0+/-0.5e-31 y[1] (closed_form) 0.9553364891256060196423102275680491e0+/-0.278e-31 y[1] (numeric) 0.9553366931134565272916382466782573e0+/-0.97e-30 absolute error 0.2039878505076493280191102082e-6+/-0.997e-30 relative error 0.2135246092131935219739745618500655e-4+/-0.104e-27% Desired digits 8 Estimated correct digits 13 Correct digits 7 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 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] 0.4e0+/-0.5e-31 y[1] (closed_form) 0.9210609940028850827985267320518007e0+/-0.39e-31 y[1] (numeric) 0.9210633666542349222083143657205113e0+/-0.147e-29 absolute error 0.23726513498394097876336687106e-5+/-0.15e-29 relative error 0.2575998077530116121594384488176288e-3+/-0.162e-27% Desired digits 8 Estimated correct digits 13 Correct digits 6 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 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] 0.5e0+/-0.5e-31 y[1] (closed_form) 0.8775825618903727161162815826038297e0+/-0.528e-31 y[1] (numeric) 0.8775948780172538133191992660337246e0+/-0.233e-29 absolute error 0.123161268810972029176834298949e-4+/-0.238e-29 relative error 0.1403415178916890199094662942594197e-2+/-0.271e-27% Desired digits 8 Estimated correct digits 13 Correct digits 5 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 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! Maximum Time Reached before Solution Completed! diff ( y , x , 5 ) = m1 * diff ( y , x , 3 ) ; Iterations 10 Total Elapsed Time 22 Minutes 58 Seconds Elapsed Time(since restart) 22 Minutes 54 Seconds Expected Time Remaining 35 Minutes 29 Seconds Optimized Time Remaining 35 Minutes 23 Seconds Expected Total Time 58 Minutes 21 Seconds Time to Timeout 0.0 Seconds Percent Done 0.3928571428571428571428571428571428e2+/-0.118e-28%