##############ECHO OF PROBLEM################# ##############temp/mtest6_rev_sm_hpostode.ode################# diff ( x2 , t , 2 ) = 3.0 * diff ( x2 , t , 1 ) - 2.0 * x2 - diff ( x1 , t , 2 ) - diff ( x1 , t , 1 ) + x1 ; diff ( x1 , t , 1 ) = 4.0 * x2 - 2.0 * diff ( x2 , t , 1 ) - 2.0 * x1 ; ! #BEGIN FIRST INPUT BLOCK # Digits:=64; ELIMINATED in preodein.rb max_terms=30 ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb t_start=0.5 t_end=0.8 $array_x1_init[0 + 1] = exact_soln_x1(t_start) # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb $array_x2_init[0 + 1] = exact_soln_x2(t_start) $array_x2_init[1 + 1] = exact_soln_x2p(t_start) $glob_max_h=0.00001 $glob_look_poles=true $glob_max_iter=100 #END SECOND INPUT BLOCK #BEGIN OVERRIDE BLOCK $glob_desired_digits_correct=10 $glob_display_interval=0.01 $glob_look_poles=true $glob_max_iter=1000000000 $glob_max_minutes=10.0 $glob_subiter_method=3 #END OVERRIDE BLOCK ! #BEGIN USER DEF BLOCK def exact_soln_x1 (t) c1 = 1.0; c2 = 0.0002; c3 = 0.0003; return(2.0 * c1 + 6.0 * c3 * exp(-t)) end def exact_soln_x1p (t) c1 = 1.0; c2 = 0.0002; c3 = 0.0003; return( - 6.0 * c3 * exp(-t)) end def exact_soln_x2 (t) c1 = 1.0; c2 = 0.0002; c3 = 0.0003; return(c1 + c2 * exp(2.0 * t) + c3 * exp(-t)) end def exact_soln_x2p (t) c1 = 1.0; c2 = 0.0002; c3 = 0.0003; return( 2.0 * c2 * exp(2.0 * t) - c3 * exp(-t)) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Optimize min_size 0.0 min_size 1.0 $glob_desired_digits_correct 10 estimated_h 1.0e-06 estimated_answer 1.0 desired_abs_gbl_error 1.0e-10 range 0.30000000000000004 estimated_steps 300000.00000000006 step_error 3.3333333333333326e-16 est_needed_step_err 3.3333333333333326e-16 opt_iter 1 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 2.0779532420001884e-178 estimated_step_error 2.0779532420001884e-178 best_h 2.0e-06 opt_iter 2 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 1.394490866805309e-170 estimated_step_error 1.394490866805309e-170 best_h 4.0e-06 opt_iter 3 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 9.35827048617323e-163 estimated_step_error 9.35827048617323e-163 best_h 8.0e-06 opt_iter 4 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 6.280229943722694e-155 estimated_step_error 6.280229943722694e-155 best_h 1.6e-05 opt_iter 5 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 4.214592220588539e-147 estimated_step_error 4.214592220588539e-147 best_h 1.0e-05 START of Soultion TOP MAIN SOLVE Loop t[1] 0.5 x2[1] (analytic) 1.0007256155636055 x2[1] (numeric) 1.0007256155636055 absolute error 0.0 relative error 0.0% Correct digits 16 h 1.0e-05 x1[1] (analytic) 2.001091755187483 x1[1] (numeric) 2.001091755187483 absolute error 0.0 relative error 0.0% Correct digits 16 h 1.0e-05 NO INFO (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 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 0.5100099999999544 x2[1] (analytic) 1.0007347969178488 x2[1] (numeric) 1.000734852348989 absolute error 5.543114012240835e-08 relative error 5.5390439398260215e-06% Correct digits 8 h 1.0e-05 x1[1] (analytic) 2.001080881232996 x1[1] (numeric) 2.001080771838112 absolute error 1.0939488381822571e-07 relative error 5.466789715707064e-06% Correct digits 8 h 1.0e-05 NO INFO (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 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 0.5200099999999089 x2[1] (analytic) 1.0007442091006897 x2[1] (numeric) 1.0007444335677882 absolute error 2.244670984641317e-07 relative error 2.2430017223466838e-05% Correct digits 7 h 1.0e-05 x1[1] (analytic) 2.00107012628503 x1[1] (numeric) 2.001069689131566 absolute error 4.37153464094564e-07 relative error 2.1845984223758105e-05% Correct digits 7 h 1.0e-05 NO INFO (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 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 0.5300099999998634 x2[1] (analytic) 1.0007538654685504 x2[1] (numeric) 1.0007543770937541 absolute error 5.116252037584701e-07 relative error 5.112397977288137e-05% Correct digits 7 h 1.0e-05 x1[1] (analytic) 2.0010594783505846 x1[1] (numeric) 2.0010584950419683 absolute error 9.83308616309131e-07 relative error 4.913939975035843e-05% Correct digits 7 h 1.0e-05 NO INFO (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 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 0.5400099999998179 x2[1] (analytic) 1.000763770416525 x2[1] (numeric) 1.000764691941979 absolute error 9.215254539451934e-07 relative error 9.20822157222626e-05% Correct digits 7 h 1.0e-05 x1[1] (analytic) 2.001048936364857 x1[1] (numeric) 2.0010471884498995 absolute error 1.7479149576615782e-06 relative error 8.734993562110845e-05% Correct digits 7 h 1.0e-05 NO INFO (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 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 0.5500099999997724 x2[1] (analytic) 1.0007739284338468 x2[1] (numeric) 1.0007753873267142 absolute error 1.4588928674008628e-06 relative error 0.00014577646618791775% Correct digits 6 h 1.0e-05 x1[1] (analytic) 2.0010384992736405 x1[1] (numeric) 2.0010357682246895 absolute error 2.7310489509879687e-06 relative error 0.00013648157953879026% Correct digits 6 h 1.0e-05 NO INFO (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 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 0.5600099999997269 x2[1] (analytic) 1.0007843441057338 x2[1] (numeric) 1.0007864726655755 absolute error 2.128559841718669e-06 relative error 0.00021268916268076478% Correct digits 6 h 1.0e-05 x1[1] (analytic) 2.0010281660332163 x1[1] (numeric) 2.001024233224313 absolute error 3.9328089034285085e-06 relative error 0.0001965394075998841% Correct digits 6 h 1.0e-05 NO INFO (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 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 0.5700099999996814 x2[1] (analytic) 1.0007950221152775 x2[1] (numeric) 1.0007979575838186 absolute error 2.9354685411320247e-06 relative error 0.0002933136632641944% Correct digits 6 h 1.0e-05 x1[1] (analytic) 2.0010179356102524 x1[1] (numeric) 2.0010125822952465 absolute error 5.353315005951487e-06 relative error 0.00026752958635120285% Correct digits 6 h 1.0e-05 NO INFO (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 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 0.5800099999996359 x2[1] (analytic) 1.0008059672453666 x2[1] (numeric) 1.0008098519186914 absolute error 3.884673324794363e-06 relative error 0.0003881544926722006% Correct digits 6 h 1.0e-05 x1[1] (analytic) 2.001007806981698 x1[1] (numeric) 2.001000814272398 absolute error 6.9927093000465845e-06 relative error 0.00034945937120526904% Correct digits 6 h 1.0e-05 NO INFO (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 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 0.5900099999995904 x2[1] (analytic) 1.0008171843806513 x2[1] (numeric) 1.0008221657239187 absolute error 4.981343267429494e-06 relative error 0.0004977275915293325% Correct digits 6 h 1.0e-05 x1[1] (analytic) 2.000997779134681 x1[1] (numeric) 2.000988927978954 absolute error 8.851155727018778e-06 relative error 0.0004423371089820202% Correct digits 6 h 1.0e-05 NO INFO (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 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 0.6000099999995449 x2[1] (analytic) 1.0008286785095488 x2[1] (numeric) 1.000834909274242 absolute error 6.230764693082591e-06 relative error 0.0006225605667457044% Correct digits 6 h 1.0e-05 x1[1] (analytic) 2.0009878510664096 x1[1] (numeric) 2.000976922226284 absolute error 1.0928840125767891e-05 relative error 0.0005461722378745806% Correct digits 6 h 1.0e-05 NO INFO (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 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 0.6100099999994993 x2[1] (analytic) 1.000840454726288 x2[1] (numeric) 1.0008480930700663 absolute error 7.638343778371137e-06 relative error 0.0007631929487162955% Correct digits 6 h 1.0e-05 x1[1] (analytic) 2.000978021784068 x1[1] (numeric) 2.0009647958137866 absolute error 1.3225970281194321e-05 relative error 0.0006609752899435683% Correct digits 6 h 1.0e-05 NO INFO (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 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 0.6200099999994538 x2[1] (analytic) 1.000852518232997 x2[1] (numeric) 1.0008617278421965 absolute error 9.209609199478663e-06 relative error 0.0009201764527443273% Correct digits 6 h 1.0e-05 x1[1] (analytic) 2.0009682903047197 x1[1] (numeric) 2.000952547528819 absolute error 1.574277590066231e-05 relative error 0.0007867578900145841% Correct digits 6 h 1.0e-05 NO INFO (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 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 0.6300099999994083 x2[1] (analytic) 1.0008648743418338 x2[1] (numeric) 1.0008758245566856 absolute error 1.0950214851757067e-05 relative error 0.0010940752475660513% Correct digits 5 h 1.0e-05 x1[1] (analytic) 2.0009586556552086 x1[1] (numeric) 2.000940176146539 absolute error 1.847950866951109e-05 relative error 0.0009235327585246895% Correct digits 6 h 1.0e-05 NO INFO (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 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 0.6400099999993628 x2[1] (analytic) 1.0008775284771594 x2[1] (numeric) 1.0008903944197594 absolute error 1.2865942599971092e-05 relative error 0.001285466226776686% Correct digits 5 h 1.0e-05 x1[1] (analytic) 2.000949116872062 x1[1] (numeric) 2.000927680429794 absolute error 2.143644226793029e-05 relative error 0.001071313712436642% Correct digits 5 h 1.0e-05 NO INFO (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 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 0.6500099999993173 x2[1] (analytic) 1.0008904861777552 x2[1] (numeric) 1.000905448882863 absolute error 1.4962705107812724e-05 relative error 0.0014949392880087174% Correct digits 5 h 1.0e-05 x1[1] (analytic) 2.0009396730013935 x1[1] (numeric) 2.000915059129018 absolute error 2.4613872375400803e-05 relative error 0.001230115665530295% Correct digits 5 h 1.0e-05 NO INFO (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 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 0.6600099999992718 x2[1] (analytic) 1.0009037530990876 x2[1] (numeric) 1.0009209996478032 absolute error 1.7246548715599275e-05 relative error 0.0017230976167487602% Correct digits 5 h 1.0e-05 x1[1] (analytic) 2.000930323098808 x1[1] (numeric) 2.000902310982063 absolute error 2.8012116744857707e-05 relative error 0.0013999546321770864% Correct digits 5 h 1.0e-05 NO INFO (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 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 0.6700099999992263 x2[1] (analytic) 1.0009173350156169 x2[1] (numeric) 1.000937058671998 absolute error 1.972365638103213e-05 relative error 0.001970557976271276% Correct digits 5 h 1.0e-05 x1[1] (analytic) 2.000921066229308 x1[1] (numeric) 2.0008894347140957 absolute error 3.1631515212460215e-05 relative error 0.0015808477278950893% Correct digits 5 h 1.0e-05 NO INFO (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 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 0.6800099999991808 x2[1] (analytic) 1.0009312378231534 x2[1] (numeric) 1.0009536381738386 absolute error 2.2400350685236603e-05 relative error 0.0022379510039024623% Correct digits 5 h 1.0e-05 x1[1] (analytic) 2.0009119014671986 x1[1] (numeric) 2.0008764290374845 absolute error 3.547242971402298e-05 relative error 0.0017728131702356455% Correct digits 5 h 1.0e-05 NO INFO (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 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 0.6900099999991353 x2[1] (analytic) 1.0009454675412623 x2[1] (numeric) 1.000970750638141 absolute error 2.5283096878547795e-05 relative error 0.0025259215110543013% Correct digits 5 h 1.0e-05 x1[1] (analytic) 2.0009028278959957 x1[1] (numeric) 2.0008632926516543 absolute error 3.953524434141542e-05 relative error 0.0019758702816661923% Correct digits 5 h 1.0e-05 NO INFO (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 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 0.7000099999990897 x2[1] (analytic) 1.0009600303157187 x2[1] (numeric) 1.000988408821742 absolute error 2.837850602332992e-05 relative error 0.0028351287927429916% Correct digits 5 h 1.0e-05 x1[1] (analytic) 2.0008938446083344 x1[1] (numeric) 2.000850024242944 absolute error 4.3820365390523364e-05 relative error 0.002190039492030173% Correct digits 5 h 1.0e-05 NO INFO (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 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 0.7100099999990442 x2[1] (analytic) 1.000974932421009 x2[1] (numeric) 1.0010066257591808 absolute error 3.169333817165665e-05 relative error 0.0031662469403705767% Correct digits 5 h 1.0e-05 x1[1] (analytic) 2.0008849507058795 x1[1] (numeric) 2.000836622484517 absolute error 4.83282213625813e-05 relative error 0.0024153423386752896% Correct digits 5 h 1.0e-05 NO INFO (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 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 0.7200099999989987 x2[1] (analytic) 1.0009901802628884 x2[1] (numeric) 1.0010254147685183 absolute error 3.52345056298109e-05 relative error 0.003519965162950681% Correct digits 5 h 1.0e-05 x1[1] (analytic) 2.000876145299232 x1[1] (numeric) 2.0008230860361684 absolute error 5.305926306364839e-05 relative error 0.00265180147148555% Correct digits 5 h 1.0e-05 NO INFO (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 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 0.7300099999989532 x2[1] (analytic) 1.001005780380985 x2[1] (numeric) 1.0010447894572643 absolute error 3.900907627918393e-05 relative error 0.0038969881137286724% Correct digits 5 h 1.0e-05 x1[1] (analytic) 2.0008674275078446 x1[1] (numeric) 2.000809413544264 absolute error 5.80139635806276e-05 relative error 0.002899440651742038% Correct digits 5 h 1.0e-05 NO INFO (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 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 0.7400099999989077 x2[1] (analytic) 1.0010217394514622 x2[1] (numeric) 1.001064763728433 absolute error 4.302427697067124e-05 relative error 0.004298036223893359% Correct digits 5 h 1.0e-05 x1[1] (analytic) 2.0008587964599314 x1[1] (numeric) 2.000795603641525 absolute error 6.319281840649893e-05 relative error 0.003158284758439945% Correct digits 5 h 1.0e-05 NO INFO (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 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 0.7500099999988622 x2[1] (analytic) 1.001038064289731 x2[1] (numeric) 1.0010853517867102 absolute error 4.7287496979242505e-05 relative error 0.004723846042037824% Correct digits 5 h 1.0e-05 x1[1] (analytic) 2.000850251292379 x1[1] (numeric) 2.0007816549469557 absolute error 6.859634542344395e-05 relative error 0.0034283597875021652% Correct digits 5 h 1.0e-05 NO INFO (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 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 0.7600099999988167 x2[1] (analytic) 1.0010547618532208 x2[1] (numeric) 1.0011065681447704 absolute error 5.1806291549549854e-05 relative error 0.005175170582440716% Correct digits 5 h 1.0e-05 x1[1] (analytic) 2.0008417911506653 x1[1] (numeric) 2.0007675660656723 absolute error 7.422508499299596e-05 relative error 0.003709692856340721% Correct digits 5 h 1.0e-05 NO INFO (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 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 0.7700099999987712 x2[1] (analytic) 1.0010718392442044 x2[1] (numeric) 1.0011284276297006 absolute error 5.658838549615908e-05 relative error 0.005652779678517631% Correct digits 5 h 1.0e-05 x1[1] (analytic) 2.000833415188768 x1[1] (numeric) 2.0007533355887888 absolute error 8.007959997913261e-05 relative error 0.004002312205065684% Correct digits 5 h 1.0e-05 NO INFO (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 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 0.7800099999987257 x2[1] (analytic) 1.0010893037126811 x2[1] (numeric) 1.0011509453895624 absolute error 6.164167688127442e-05 relative error 0.006157460343714347% Correct digits 5 h 1.0e-05 x1[1] (analytic) 2.0008251225690836 x1[1] (numeric) 2.000738962093224 absolute error 8.616047585974229e-05 relative error 0.0043062472021098575% Correct digits 5 h 1.0e-05 NO INFO (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 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop t[1] 0.7900099999986802 x2[1] (analytic) 1.0011071626593198 x2[1] (numeric) 1.0011741369001106 absolute error 6.697424079082914e-05 relative error 0.006690017141913179% Correct digits 5 h 1.0e-05 x1[1] (analytic) 2.000816912462344 x1[1] (numeric) 2.0007244441416274 absolute error 9.246832071641009e-05 relative error 0.004621528343770953% Correct digits 5 h 1.0e-05 NO INFO (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 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 Finished! diff ( x2 , t , 2 ) = 3.0 * diff ( x2 , t , 1 ) - 2.0 * x2 - diff ( x1 , t , 2 ) - diff ( x1 , t , 1 ) + x1 ; diff ( x1 , t , 1 ) = 4.0 * x2 - 2.0 * diff ( x2 , t , 1 ) - 2.0 * x1 ; Iterations 30001 Total Elapsed Time 5 Minutes 23 Seconds Elapsed Time(since restart) 5 Minutes 23 Seconds Time to Timeout 4 Minutes 37.0 Seconds Percent Done 100.00666666621152%