##############ECHO OF PROBLEM################# ##############complicated.ode################# diff ( x2 , t , 1 ) = (4.0 * x2 - diff ( x1 , t , 1 ) - 2.0 * x1 ) / 2.0 ; diff ( x1 , t , 2 ) = m1 * diff ( x1 , t , 1 ) + x1 - diff ( x2 , t , 2 ) + 3.0 * diff ( x2 , t , 1 ) - 2.0 * x2 ; ! glob_max_terms := 30; ! glob_t_start := 0.5; glob_t_end := 1.0 ; glob_x1_init[1] := exact_soln_glob_x1(glob_t_start); glob_x1_init[2] := exact_soln_glob_x1_p(glob_t_start); glob_x2_init[1] := exact_soln_glob_x2(glob_t_start); glob_x2_init[2] := exact_soln_glob_x2_p(glob_t_start); glob_hmax := 0.0001 ; glob_adjust_h := 1; glob_look_poles := 1; glob_max_iter := 20; glob_log10relerr := -8.0; glob_log10abserr := -8.0; ! exact_soln_glob_x1 := proc(t) return(6.0*exp(-t)); end; exact_soln_glob_x1_p := proc(t) return(-6.0*exp(-t)); end; exact_soln_glob_x2 := proc(t) return (exp(2.0*t)+exp(-t)); end; exact_soln_glob_x2_p := proc(t) return (2.0*exp(2.0*t)-exp(-t)); end; ! #######END OF ECHO OF PROBLEM################# glob_t[1] := 0.5 glob_x1(exact) := 3.639183958275801 glob_x1_higher[1,1] := 3.639183958275801 glob_x2(exact) := 3.324812488171679 glob_x2_higher[1,1] := 3.324812488171679 iter = 0 sub_iter = 4 permissible erroe = 1.000000000000000e-08 complicated.ode glob_h = 0.01 glob_max_taylor = 30 Iterations = 0 Current Iterations = 1 Total Elapsed Time = Elapsed Time(since restart)= Expected Time Remaining = 6 Seconds Optimized Time Remaining = Unknown Time to Timeout = 14 Minutes 59 Seconds iter = 1 sub_iter = 4 permissible erroe = 1.000000000000000e-08 complicated.ode glob_h = 0.0001 glob_max_taylor = 30 Iterations = 1 Current Iterations = 1 Total Elapsed Time = Elapsed Time(since restart)= Expected Time Remaining = 10 Minutes 24 Seconds Optimized Time Remaining = Unknown Time to Timeout = 14 Minutes 59 Seconds glob_t[1] := 0.5001 glob_x1(exact) := 3.638820058075286 glob_x1_higher[1,1] := 3.638820006815486 glob_x2(exact) := 3.325295548873213 glob_x2_higher[1,1] := 3.32529550953145 iter = 2 sub_iter = 3 permissible erroe = 1.000000000000000e-08 complicated.ode glob_h = 0.0001 glob_max_taylor = 30 Iterations = 2 Current Iterations = 2 Total Elapsed Time = Elapsed Time(since restart)= Expected Time Remaining = 16 Minutes 54 Seconds Optimized Time Remaining = 6 Minutes 29 Seconds Time to Timeout = 14 Minutes 59 Seconds NO POLE 2 NO POLE 2 glob_t[1] := 0.5002 glob_x1(exact) := 3.638456194262973 glob_x1_higher[1,1] := 3.638455989451274 glob_x2(exact) := 3.325778724392468 glob_x2_higher[1,1] := 3.325778663993454 iter = 3 sub_iter = 4 permissible erroe = 1.000000000000000e-08 complicated.ode glob_h = 0.0001 glob_max_taylor = 30 Iterations = 3 Current Iterations = 3 Total Elapsed Time = Elapsed Time(since restart)= Expected Time Remaining = 16 Minutes 14 Seconds Optimized Time Remaining = 11 Minutes 2 Seconds Time to Timeout = 14 Minutes 59 Seconds NO POLE 2 NO POLE 2 glob_t[1] := 0.5003 glob_x1(exact) := 3.638092366835221 glob_x1_higher[1,1] := 3.638091905712947 glob_x2(exact) := 3.326262014750593 glob_x2_higher[1,1] := 3.326261984401344 iter = 4 sub_iter = 4 permissible erroe = 1.000000000000000e-08 complicated.ode glob_h = 0.0001 glob_max_taylor = 30 Iterations = 4 Current Iterations = 4 Total Elapsed Time = Elapsed Time(since restart)= Expected Time Remaining = 14 Minutes 17 Seconds Optimized Time Remaining = 10 Minutes 49 Seconds Time to Timeout = 14 Minutes 59 Seconds NO POLE 2 NO POLE 2 glob_t[1] := 0.5004 glob_x1(exact) := 3.637728575788393 glob_x1_higher[1,1] := 3.637727755454982 glob_x2(exact) := 3.326745419968736 glob_x2_higher[1,1] := 3.326745471050824 iter = 5 sub_iter = 4 permissible erroe = 1.000000000000000e-08 complicated.ode glob_h = 0.0001 glob_max_taylor = 30 Iterations = 5 Current Iterations = 5 Total Elapsed Time = Elapsed Time(since restart)= Expected Time Remaining = 14 Minutes 18 Seconds Optimized Time Remaining = 11 Minutes 41 Seconds Time to Timeout = 14 Minutes 59 Seconds NO POLE 2 NO POLE 2 glob_t[1] := 0.5005 glob_x1(exact) := 3.637364821118851 glob_x1_higher[1,1] := 3.63736353864173 glob_x2(exact) := 3.327228940068054 glob_x2_higher[1,1] := 3.327229124068786 iter = 6 sub_iter = 4 permissible erroe = 1.000000000000000e-08 complicated.ode glob_h = 0.0001 glob_max_taylor = 30 Iterations = 6 Current Iterations = 6 Total Elapsed Time = Elapsed Time(since restart)= Expected Time Remaining = 12 Minutes 59 Seconds Optimized Time Remaining = 10 Minutes 54 Seconds Time to Timeout = 14 Minutes 59 Seconds NO POLE 2 NO POLE 2 glob_t[1] := 0.5006 glob_x1(exact) := 3.637001102822957 glob_x1_higher[1,1] := 3.636999255251263 glob_x2(exact) := 3.327712575069705 glob_x2_higher[1,1] := 3.327712943514759 iter = 7 sub_iter = 4 permissible erroe = 1.000000000000000e-08 complicated.ode glob_h = 0.0001 glob_max_taylor = 30 Iterations = 7 Current Iterations = 7 Total Elapsed Time = 1 Seconds Elapsed Time(since restart)= Expected Time Remaining = 12 Minutes 46 Seconds Optimized Time Remaining = 11 Minutes 2 Seconds Time to Timeout = 14 Minutes 58 Seconds NO POLE 2 NO POLE 2 glob_t[1] := 0.5007 glob_x1(exact) := 3.636637420897074 glob_x1_higher[1,1] := 3.636634905263365 glob_x2(exact) := 3.328196324994855 glob_x2_higher[1,1] := 3.328196929439872 iter = 8 sub_iter = 4 permissible erroe = 1.000000000000000e-08 complicated.ode glob_h = 0.0001 glob_max_taylor = 30 Iterations = 8 Current Iterations = 8 Total Elapsed Time = 1 Seconds Elapsed Time(since restart)= 1 Seconds Expected Time Remaining = 12 Minutes 26 Seconds Optimized Time Remaining = 10 Minutes 56 Seconds Time to Timeout = 14 Minutes 58 Seconds NO POLE 2 NO POLE 2 glob_t[1] := 0.5008 glob_x1(exact) := 3.636273775337565 glob_x1_higher[1,1] := 3.636270488658027 glob_x2(exact) := 3.328680189864671 glob_x2_higher[1,1] := 3.328681081894216 iter = 9 sub_iter = 4 permissible erroe = 1.000000000000000e-08 complicated.ode glob_h = 0.0001 glob_max_taylor = 30 Iterations = 9 Current Iterations = 9 Total Elapsed Time = 1 Seconds Elapsed Time(since restart)= 1 Seconds Expected Time Remaining = 12 Minutes 49 Seconds Optimized Time Remaining = 11 Minutes 31 Seconds Time to Timeout = 14 Minutes 58 Seconds NO POLE 2 NO POLE 2 glob_t[1] := 0.5009 glob_x1(exact) := 3.635910166140794 glob_x1_higher[1,1] := 3.635906005415259 glob_x2(exact) := 3.329164169700325 glob_x2_higher[1,1] := 3.329165400927767 iter = 10 sub_iter = 4 permissible erroe = 1.000000000000000e-08 complicated.ode glob_h = 0.0001 glob_max_taylor = 30 Iterations = 10 Current Iterations = 10 Total Elapsed Time = 1 Seconds Elapsed Time(since restart)= 1 Seconds Expected Time Remaining = 12 Minutes 24 Seconds Optimized Time Remaining = 11 Minutes 14 Seconds Time to Timeout = 14 Minutes 58 Seconds NO POLE 2 NO POLE 2 glob_t[1] := 0.501 glob_x1(exact) := 3.635546593303125 glob_x1_higher[1,1] := 3.63554145551507 glob_x2(exact) := 3.329648264522996 glob_x2_higher[1,1] := 3.329649886590498 iter = 11 sub_iter = 4 permissible erroe = 1.000000000000000e-08 complicated.ode glob_h = 0.0001 glob_max_taylor = 30 Iterations = 11 Current Iterations = 11 Total Elapsed Time = 1 Seconds Elapsed Time(since restart)= 1 Seconds Expected Time Remaining = 12 Minutes 35 Seconds Optimized Time Remaining = 11 Minutes 33 Seconds Time to Timeout = 14 Minutes 58 Seconds NO POLE 2 NO POLE 2 glob_t[1] := 0.5011 glob_x1(exact) := 3.635183056820922 glob_x1_higher[1,1] := 3.635176838937464 glob_x2(exact) := 3.330132474353865 glob_x2_higher[1,1] := 3.330134538932396 iter = 12 sub_iter = 4 permissible erroe = 1.000000000000000e-08 complicated.ode glob_h = 0.0001 glob_max_taylor = 30 Iterations = 12 Current Iterations = 12 Total Elapsed Time = 1 Seconds Elapsed Time(since restart)= 1 Seconds Expected Time Remaining = 12 Minutes 16 Seconds Optimized Time Remaining = 11 Minutes 19 Seconds Time to Timeout = 14 Minutes 58 Seconds NO POLE 2 NO POLE 2 glob_t[1] := 0.5012 glob_x1(exact) := 3.634819556690549 glob_x1_higher[1,1] := 3.634812155662439 glob_x2(exact) := 3.330616799214119 glob_x2_higher[1,1] := 3.330619358003462 iter = 13 sub_iter = 4 permissible erroe = 1.000000000000000e-08 complicated.ode glob_h = 0.0001 glob_max_taylor = 30 Iterations = 13 Current Iterations = 13 Total Elapsed Time = 1 Seconds Elapsed Time(since restart)= 1 Seconds Expected Time Remaining = 12 Minutes 25 Seconds Optimized Time Remaining = 11 Minutes 33 Seconds Time to Timeout = 14 Minutes 58 Seconds NO POLE 2 NO POLE 2 glob_t[1] := 0.5013 glob_x1(exact) := 3.634456092908372 glob_x1_higher[1,1] := 3.634447405669985 glob_x2(exact) := 3.331101239124946 glob_x2_higher[1,1] := 3.331104343853714 iter = 14 sub_iter = 4 permissible erroe = 1.000000000000000e-08 complicated.ode glob_h = 0.0001 glob_max_taylor = 30 Iterations = 14 Current Iterations = 14 Total Elapsed Time = 2 Seconds Elapsed Time(since restart)= 1 Seconds Expected Time Remaining = 11 Minutes 58 Seconds Optimized Time Remaining = 11 Minutes 10 Seconds Time to Timeout = 14 Minutes 57 Seconds NO POLE 2 NO POLE 2 glob_t[1] := 0.5014 glob_x1(exact) := 3.634092665470756 glob_x1_higher[1,1] := 3.634082588940088 glob_x2(exact) := 3.331585794107543 glob_x2_higher[1,1] := 3.331589496533181 iter = 15 sub_iter = 4 permissible erroe = 1.000000000000000e-08 complicated.ode glob_h = 0.0001 glob_max_taylor = 30 Iterations = 15 Current Iterations = 15 Total Elapsed Time = 2 Seconds Elapsed Time(since restart)= 2 Seconds Expected Time Remaining = 11 Minutes 56 Seconds Optimized Time Remaining = 11 Minutes 12 Seconds Time to Timeout = 14 Minutes 57 Seconds NO POLE 2 NO POLE 2 glob_t[1] := 0.5015 glob_x1(exact) := 3.633729274374066 glob_x1_higher[1,1] := 3.633717705452728 glob_x2(exact) := 3.332070464183109 glob_x2_higher[1,1] := 3.332074816091911 iter = 16 sub_iter = 4 permissible erroe = 1.000000000000000e-08 complicated.ode glob_h = 0.0001 glob_max_taylor = 30 Iterations = 16 Current Iterations = 16 Total Elapsed Time = 2 Seconds Elapsed Time(since restart)= 2 Seconds Expected Time Remaining = 11 Minutes 39 Seconds Optimized Time Remaining = 10 Minutes 58 Seconds Time to Timeout = 14 Minutes 57 Seconds NO POLE 2 NO POLE 2 glob_t[1] := 0.5016 glob_x1(exact) := 3.63336591961467 glob_x1_higher[1,1] := 3.633352755187877 glob_x2(exact) := 3.332555249372848 glob_x2_higher[1,1] := 3.332560302579964 iter = 17 sub_iter = 4 permissible erroe = 1.000000000000000e-08 complicated.ode glob_h = 0.0001 glob_max_taylor = 30 Iterations = 17 Current Iterations = 17 Total Elapsed Time = 2 Seconds Elapsed Time(since restart)= 2 Seconds Expected Time Remaining = 11 Minutes 25 Seconds Optimized Time Remaining = 10 Minutes 46 Seconds Time to Timeout = 14 Minutes 57 Seconds NO POLE 2 NO POLE 2 glob_t[1] := 0.5017 glob_x1(exact) := 3.633002601188932 glob_x1_higher[1,1] := 3.632987738125504 glob_x2(exact) := 3.333040149697967 glob_x2_higher[1,1] := 3.333045956047418 iter = 18 sub_iter = 4 permissible erroe = 1.000000000000000e-08 complicated.ode glob_h = 0.0001 glob_max_taylor = 30 Iterations = 18 Current Iterations = 18 Total Elapsed Time = 2 Seconds Elapsed Time(since restart)= 2 Seconds Expected Time Remaining = 11 Minutes 30 Seconds Optimized Time Remaining = 10 Minutes 53 Seconds Time to Timeout = 14 Minutes 57 Seconds NO POLE 2 NO POLE 2 glob_t[1] := 0.5018 glob_x1(exact) := 3.632639319093221 glob_x1_higher[1,1] := 3.632622654245569 glob_x2(exact) := 3.33352516517968 glob_x2_higher[1,1] := 3.333531776544364 iter = 19 sub_iter = 4 permissible erroe = 1.000000000000000e-08 complicated.ode glob_h = 0.0001 glob_max_taylor = 30 Iterations = 19 Current Iterations = 19 Total Elapsed Time = 2 Seconds Elapsed Time(since restart)= 2 Seconds Expected Time Remaining = 11 Minutes 26 Seconds Optimized Time Remaining = 10 Minutes 52 Seconds Time to Timeout = 14 Minutes 57 Seconds NO POLE 2 NO POLE 2 glob_t[1] := 0.5019 glob_x1(exact) := 3.632276073323903 glob_x1_higher[1,1] := 3.632257503528027 glob_x2(exact) := 3.334010295839203 glob_x2_higher[1,1] := 3.334017764120909 iter = 20 sub_iter = 4 permissible erroe = 1.000000000000000e-08 complicated.ode glob_h = 0.0001 glob_max_taylor = 30 Iterations = 20 Current Iterations = 20 Total Elapsed Time = 2 Seconds Elapsed Time(since restart)= 2 Seconds Expected Time Remaining = 11 Minutes 27 Seconds Optimized Time Remaining = 10 Minutes 54 Seconds Time to Timeout = 14 Minutes 57 Seconds NO POLE 2 NO POLE 2 glob_t[1] := 0.502 glob_x1(exact) := 3.631912863877345 glob_x1_higher[1,1] := 3.631892285952829 glob_x2(exact) := 3.334495541697758 glob_x2_higher[1,1] := 3.334503918827173 Finished! Maximum Iterations Reached!