07-Jan-2022 16:42:04 burgers_solution_test(): MATLAB/Octave version 9.8.0.1380330 (R2020a) Update 2 Test burgers_solution(). burgers_solution_test01(): Compute an analytic solution to the Burgers equation. Viscosity NU = 0.0031831 NX = 11 NT = 11 X grid points: 1: -1 2: -0.8 3: -0.6 4: -0.4 5: -0.2 6: 0 7: 0.2 8: 0.4 9: 0.6 10: 0.8 11: 1 T grid points: 1: 0 2: 0.095493 3: 0.190986 4: 0.286479 5: 0.381972 6: 0.477465 7: 0.572958 8: 0.668451 9: 0.763944 10: 0.859437 11: 0.95493 U(X,T) at grid points: Col: 1 2 3 4 5 Row 1 : 1.22465e-16 1.4984e-16 1.31611e-16 3.61155e-17 2.2444e-16 2 : 0.587785 0.467745 0.385266 0.326331 0.282259 3 : 0.951057 0.843167 0.74283 0.661054 0.590027 4 : 0.951057 0.997698 0.990755 0.971206 0.946876 5 : 0.587785 0.748375 0.869466 0.923817 0.954709 6 : -0 -2.88677e-17 -2.33948e-17 1.32611e-17 -8.4109e-17 7 : -0.587785 -0.748375 -0.869466 -0.923817 -0.954709 8 : -0.951057 -0.997698 -0.990755 -0.971206 -0.946876 9 : -0.951057 -0.843167 -0.74283 -0.661054 -0.590027 10 : -0.587785 -0.467745 -0.385266 -0.326331 -0.282259 11 :-1.22465e-16 -9.84413e-17 -5.43318e-17 4.21333e-17 -1.20307e-16 Col: 6 7 8 9 10 Row 1 : 1.90516e-16 2.57543e-16 1.82473e-16 1.72955e-16 1.34109e-16 2 : 0.248397 0.222439 0.20304 0.188983 0.178866 3 : 0.525742 0.466479 0.411552 0.360885 0.314918 4 : 0.919698 0.890611 0.860186 0.828804 0.796735 5 : 0.974759 0.987809 0.995661 0.999404 0.999787 6 : -5.8488e-17 -2.31326e-16 -3.545e-16 -3.91835e-16 -3.22888e-16 7 : -0.974759 -0.987809 -0.995661 -0.999404 -0.999787 8 : -0.919698 -0.890611 -0.860186 -0.828804 -0.796735 9 : -0.525742 -0.466479 -0.411552 -0.360885 -0.314918 10 : -0.248397 -0.222439 -0.20304 -0.188983 -0.178866 11 :-6.82723e-17 -1.62661e-16 1.53606e-16 2.02469e-16 -1.76069e-17 Col: 11 Row 1 : 1.73718e-16 2 : 0.171141 3 : 0.274681 4 : 0.764181 5 : 0.997357 6 :-3.97525e-16 7 : -0.997357 8 : -0.764181 9 : -0.274681 10 : -0.171141 11 :-7.18165e-17 Data written to file "burgers_solution_test01.txt" burgers_solution_test02(): Compute an analytic solution to the Burgers equation. Viscosity NU = 0.0031831 NX = 41 NT = 41 X grid points: 1: -1 2: -0.95 3: -0.9 4: -0.85 5: -0.8 6: -0.75 7: -0.7 8: -0.65 9: -0.6 10: -0.55 11: -0.5 12: -0.45 13: -0.4 14: -0.35 15: -0.3 16: -0.25 17: -0.2 18: -0.15 19: -0.1 20: -0.05 21: 0 22: 0.05 23: 0.1 24: 0.15 25: 0.2 26: 0.25 27: 0.3 28: 0.35 29: 0.4 30: 0.45 31: 0.5 32: 0.55 33: 0.6 34: 0.65 35: 0.7 36: 0.75 37: 0.8 38: 0.85 39: 0.9 40: 0.95 41: 1 T grid points: 1: 0 2: 0.0238732 3: 0.0477465 4: 0.0716197 5: 0.095493 6: 0.119366 7: 0.143239 8: 0.167113 9: 0.190986 10: 0.214859 11: 0.238732 12: 0.262606 13: 0.286479 14: 0.310352 15: 0.334225 16: 0.358099 17: 0.381972 18: 0.405845 19: 0.429718 20: 0.453592 21: 0.477465 22: 0.501338 23: 0.525211 24: 0.549085 25: 0.572958 26: 0.596831 27: 0.620704 28: 0.644578 29: 0.668451 30: 0.692324 31: 0.716197 32: 0.74007 33: 0.763944 34: 0.787817 35: 0.81169 36: 0.835563 37: 0.859437 38: 0.88331 39: 0.907183 40: 0.931056 41: 0.95493 Data written to file "burgers_solution_test02.txt" burgers_solution_test03() Compute analytic solution #2 to the Burgers equation. Viscosity NU = 0.5 NX = 11 NT = 11 X grid points: 1: 0 2: 0.628319 3: 1.25664 4: 1.88496 5: 2.51327 6: 3.14159 7: 3.76991 8: 4.39823 9: 5.02655 10: 5.65487 11: 6.28319 T grid points: 1: 0 2: 0.1 3: 0.2 4: 0.3 5: 0.4 6: 0.5 7: 0.6 8: 0.7 9: 0.8 10: 0.9 11: 1 U(X,T) at grid points: Col: 1 2 3 4 5 Row 1 : 4 3.63636 3.33333 3.07692 2.85714 2 : 4.62832 4.20756 3.85693 3.56024 3.30594 3 : 5.25659 4.77875 4.38053 4.04357 3.75474 4 : 5.88262 5.34952 4.90402 4.52686 4.20353 5 : 6.39433 5.90514 5.42477 5.00951 4.65214 6 : 4 5.96463 5.87311 5.47894 5.09772 7 : 1.60567 2.57089 4.9603 5.68999 5.49336 8 : 2.11738 1.96528 2.20166 3.71486 5.20711 9 : 2.74341 2.49515 2.30393 2.28046 2.93677 10 : 3.37168 3.0652 2.8104 2.60205 2.4816 11 : 4 3.63636 3.33336 3.07733 2.86158 Col: 6 7 8 9 10 Row 1 : 2.66667 2.5 2.35294 2.22222 2.10526 2 : 3.08555 2.8927 2.72254 2.57129 2.43596 3 : 3.50442 3.2854 3.09214 2.92035 2.76665 4 : 3.9233 3.67809 3.46174 3.26942 3.09734 5 : 4.34211 4.07077 3.83133 3.61848 3.42804 6 : 4.7601 4.46318 4.20082 3.9675 3.75871 7 : 5.16659 4.85246 4.56933 4.31618 4.08925 8 : 5.42062 5.20532 4.92786 4.66174 4.4187 9 : 4.4184 5.18271 5.18827 4.97968 4.73947 10 : 2.68481 3.64115 4.72813 5.07272 4.99302 11 : 2.70148 2.70245 3.16805 4.14486 4.81675 Col: 11 Row 1 : 2 2 : 2.31416 3 : 2.62832 4 : 2.94248 5 : 3.25664 6 : 3.57079 7 : 3.88488 8 : 4.19855 9 : 4.50919 10 : 4.79828 11 : 4.94316 Data written to file "burgers_solution_test03.txt" burgers_solution_test04(): Compute analytic solution #2 to the Burgers equation. Viscosity NU = 0.5 NX = 41 NT = 41 X grid points: 1: 0 2: 0.15708 3: 0.314159 4: 0.471239 5: 0.628319 6: 0.785398 7: 0.942478 8: 1.09956 9: 1.25664 10: 1.41372 11: 1.5708 12: 1.72788 13: 1.88496 14: 2.04204 15: 2.19911 16: 2.35619 17: 2.51327 18: 2.67035 19: 2.82743 20: 2.98451 21: 3.14159 22: 3.29867 23: 3.45575 24: 3.61283 25: 3.76991 26: 3.92699 27: 4.08407 28: 4.24115 29: 4.39823 30: 4.55531 31: 4.71239 32: 4.86947 33: 5.02655 34: 5.18363 35: 5.34071 36: 5.49779 37: 5.65487 38: 5.81195 39: 5.96903 40: 6.12611 41: 6.28319 T grid points: 1: 0 2: 0.025 3: 0.05 4: 0.075 5: 0.1 6: 0.125 7: 0.15 8: 0.175 9: 0.2 10: 0.225 11: 0.25 12: 0.275 13: 0.3 14: 0.325 15: 0.35 16: 0.375 17: 0.4 18: 0.425 19: 0.45 20: 0.475 21: 0.5 22: 0.525 23: 0.55 24: 0.575 25: 0.6 26: 0.625 27: 0.65 28: 0.675 29: 0.7 30: 0.725 31: 0.75 32: 0.775 33: 0.8 34: 0.825 35: 0.85 36: 0.875 37: 0.9 38: 0.925 39: 0.95 40: 0.975 41: 1 U(X,T) at grid points: Col: 1 2 3 4 5 Row 1 : 4 3.90244 3.80952 3.72093 3.63636 2 : 4.15708 4.05569 3.95912 3.86705 3.77916 3 : 4.31416 4.20894 4.10872 4.01317 3.92196 4 : 4.47124 4.36218 4.25832 4.15929 4.06476 5 : 4.62832 4.51543 4.40792 4.30541 4.20756 6 : 4.7854 4.66868 4.55752 4.45153 4.35036 7 : 4.94247 4.82192 4.70712 4.59765 4.49316 8 : 5.09954 4.97517 4.85671 4.74377 4.63596 9 : 5.25659 5.12839 5.0063 4.88988 4.77875 10 : 5.4136 5.28159 5.15586 5.03597 4.92153 11 : 5.57047 5.4347 5.30537 5.18203 5.06429 12 : 5.727 5.5876 5.45474 5.328 5.20698 13 : 5.88262 5.73992 5.60374 5.47372 5.34952 14 : 6.03576 5.89074 5.75181 5.61886 5.49167 15 : 6.18232 6.03765 5.8975 5.76252 5.63289 16 : 6.31133 6.17435 6.03712 5.90249 5.77182 17 : 6.39433 6.28466 6.16131 6.03325 5.90514 18 : 6.36107 6.32827 6.24684 6.14125 6.02483 19 : 6.06108 6.21229 6.23856 6.19407 6.11172 20 : 5.27855 5.76361 6.02016 6.11922 6.12195 21 : 4 4.81349 5.41296 5.78057 5.96463 22 : 2.72145 3.52488 4.34125 5.02131 5.49391 23 : 1.93892 2.44365 3.12474 3.89231 4.60844 24 : 1.63893 1.86827 2.25237 2.80781 3.49158 25 : 1.60567 1.68181 1.84411 2.131 2.57089 26 : 1.68867 1.69415 1.74042 1.85265 2.06343 27 : 1.81768 1.79181 1.78469 1.80886 1.88372 28 : 1.96424 1.92356 1.89209 1.87546 1.88312 29 : 2.11738 2.06856 2.02505 1.9892 1.96528 30 : 2.273 2.21866 2.16812 2.1223 2.08298 31 : 2.42953 2.3707 2.31517 2.2632 2.21548 32 : 2.5864 2.52349 2.46377 2.40723 2.35407 33 : 2.74341 2.67656 2.61298 2.55252 2.49515 34 : 2.90046 2.82974 2.76242 2.69831 2.63725 35 : 3.05753 2.98296 2.91196 2.8443 2.77976 36 : 3.2146 3.1362 3.06154 2.99036 2.92245 37 : 3.37168 3.28945 3.21113 3.13646 3.0652 38 : 3.52876 3.44269 3.36073 3.28257 3.20798 39 : 3.68584 3.59594 3.51033 3.42869 3.35077 40 : 3.84292 3.74919 3.65992 3.57481 3.49357 41 : 4 3.90244 3.80952 3.72093 3.63636 Col: 6 7 8 9 10 Row 1 : 3.55556 3.47826 3.40426 3.33333 3.26531 2 : 3.69518 3.61485 3.53794 3.46423 3.39353 3 : 3.83481 3.75144 3.67162 3.59513 3.52176 4 : 3.97443 3.88803 3.80531 3.72603 3.64999 5 : 4.11406 4.02462 3.93899 3.85693 3.77822 6 : 4.25369 4.16122 4.07268 3.98783 3.90645 7 : 4.39331 4.29781 4.20636 4.11873 4.03468 8 : 4.53294 4.43439 4.34005 4.24963 4.1629 9 : 4.67256 4.57098 4.47373 4.38053 4.29113 10 : 4.81217 4.70756 4.60741 4.51142 4.41935 11 : 4.95177 4.84413 4.74107 4.64231 4.54757 12 : 5.09132 4.98067 4.87472 4.77318 4.67578 13 : 5.23077 5.11714 5.00832 4.90402 4.80396 14 : 5.36996 5.25344 5.1418 5.03478 4.93209 15 : 5.50855 5.38934 5.27502 5.16536 5.0601 16 : 5.6457 5.52431 5.40763 5.29553 5.18783 17 : 5.77936 5.65707 5.53882 5.42477 5.31494 18 : 5.90469 5.78466 5.66673 5.5519 5.44067 19 : 6.01026 5.90014 5.78709 5.67425 5.56331 20 : 6.06968 5.98755 5.89015 5.78577 5.67908 21 : 6.02566 6.0116 5.95426 5.87311 5.77964 22 : 5.77062 5.90049 5.9336 5.90753 5.84702 23 : 5.16657 5.53588 5.74256 5.83174 5.8442 24 : 4.19824 4.81119 5.26322 5.54977 5.70254 25 : 3.15414 3.81371 4.44524 4.9603 5.32285 26 : 2.40407 2.88493 3.47259 4.08786 4.63921 27 : 2.03585 2.29487 2.68093 3.18511 3.7564 28 : 1.92998 2.03728 2.23099 2.5345 2.95415 29 : 1.96048 1.98625 2.05937 2.20166 2.43607 30 : 2.0534 2.03909 2.04885 2.09588 2.19806 31 : 2.17337 2.13938 2.11773 2.11525 2.14228 32 : 2.30478 2.26043 2.22293 2.19557 2.18365 33 : 2.44099 2.39041 2.34423 2.30393 2.27208 34 : 2.57919 2.52419 2.47255 2.42487 2.38233 35 : 2.71822 2.65959 2.60391 2.55138 2.50248 36 : 2.8576 2.79568 2.73659 2.68035 2.62709 37 : 2.99712 2.93205 2.86985 2.8104 2.7537 38 : 3.13671 3.06855 3.00334 2.94093 2.88121 39 : 3.27632 3.20511 3.13695 3.07166 3.00911 40 : 3.41593 3.34168 3.2706 3.20249 3.13719 41 : 3.55556 3.47827 3.40427 3.33336 3.26536 Col: 11 12 13 14 15 Row 1 : 3.2 3.13725 3.07692 3.01887 2.96296 2 : 3.32566 3.26045 3.19775 3.13742 3.07932 3 : 3.45133 3.38365 3.31858 3.25597 3.19567 4 : 3.57699 3.50685 3.43941 3.37452 3.31203 5 : 3.70265 3.63005 3.56024 3.49307 3.42838 6 : 3.82832 3.75325 3.68108 3.61162 3.54474 7 : 3.95398 3.87645 3.80191 3.73017 3.66109 8 : 4.07964 3.99965 3.92274 3.84872 3.77745 9 : 4.20531 4.12285 4.04357 3.96727 3.8938 10 : 4.33097 4.24605 4.16439 4.08582 4.01016 11 : 4.45662 4.36924 4.28522 4.20437 4.12651 12 : 4.58227 4.49243 4.40604 4.32291 4.24286 13 : 4.7079 4.61561 4.52686 4.44145 4.35921 14 : 4.8335 4.73875 4.64765 4.55997 4.47554 15 : 4.959 4.86184 4.7684 4.67846 4.59185 16 : 5.08432 4.9848 4.88905 4.79689 4.70811 17 : 5.20922 5.10746 5.00951 4.91517 4.82428 18 : 5.3332 5.22951 5.12954 5.03316 4.94023 19 : 5.45516 5.35022 5.24867 5.15053 5.05576 20 : 5.57268 5.46802 5.36586 5.2666 5.1704 21 : 5.68051 5.57955 5.47894 5.37993 5.28319 22 : 5.76733 5.67762 5.5833 5.48753 5.39216 23 : 5.80955 5.74722 5.6693 5.58316 5.49325 24 : 5.76099 5.75812 5.71738 5.65418 5.57821 25 : 5.54367 5.65487 5.68999 5.67569 5.63068 26 : 5.0661 5.35468 5.52351 5.60254 5.61986 27 : 4.31481 4.78752 5.13768 5.36584 5.49359 28 : 3.46359 4.00234 4.49807 4.89774 5.18264 29 : 2.77703 3.21643 3.71486 4.21019 4.6426 30 : 2.37614 2.64774 3.01658 3.4616 3.9359 31 : 2.21329 2.34618 2.55885 2.86167 3.24739 32 : 2.19529 2.24208 2.33907 2.5029 2.74691 33 : 2.25281 2.25252 2.28046 2.34907 2.47306 34 : 2.34691 2.32189 2.31228 2.3255 2.37171 35 : 2.45811 2.41985 2.39028 2.37336 2.37503 36 : 2.57718 2.53133 2.49079 2.45759 2.4349 37 : 2.69984 2.64911 2.60205 2.55966 2.52355 38 : 2.82414 2.7698 2.71839 2.67035 2.62645 39 : 2.94919 2.89185 2.83712 2.78516 2.73631 40 : 3.07457 3.01451 2.95696 2.90193 2.84952 41 : 3.20011 3.13747 3.07733 3.01963 2.96437 Col: 16 17 18 19 20 Row 1 : 2.90909 2.85714 2.80702 2.75862 2.71186 2 : 3.02333 2.96934 2.91725 2.86695 2.81836 3 : 3.13757 3.08154 3.02748 2.97528 2.92485 4 : 3.25181 3.19374 3.13771 3.08361 3.03135 5 : 3.36605 3.30594 3.24794 3.19194 3.13784 6 : 3.48029 3.41814 3.35817 3.30027 3.24434 7 : 3.59453 3.53034 3.46841 3.40861 3.35083 8 : 3.70877 3.64254 3.57864 3.51694 3.45733 9 : 3.82301 3.75474 3.68887 3.62527 3.56382 10 : 3.93725 3.86694 3.7991 3.7336 3.67032 11 : 4.05148 3.97914 3.90933 3.84193 3.77681 12 : 4.16572 4.09133 4.01956 3.95026 3.8833 13 : 4.27995 4.20353 4.12978 4.05858 3.98979 14 : 4.39418 4.31571 4.24001 4.16691 4.09628 15 : 4.50838 4.42789 4.35022 4.27522 4.20277 16 : 4.62255 4.54004 4.46041 4.38352 4.30924 17 : 4.73665 4.65214 4.57057 4.4918 4.41569 18 : 4.85061 4.76413 4.68064 4.60001 4.5221 19 : 4.96426 4.8759 4.79057 4.70812 4.62843 20 : 5.0773 4.98725 4.90019 4.81601 4.7346 21 : 5.18907 5.09772 5.0092 4.92346 4.84046 22 : 5.29827 5.20644 5.11699 5.03006 4.94571 23 : 5.4022 5.31159 5.22234 5.13498 5.04979 24 : 5.49546 5.4096 5.32286 5.23659 5.15158 25 : 5.56729 5.49336 5.41381 5.3317 5.24891 26 : 5.59703 5.5491 5.486 5.41415 5.33762 27 : 5.54764 5.55132 5.52214 5.47228 5.40982 28 : 5.36179 5.45705 5.49162 5.48482 5.45094 29 : 4.9769 5.20711 5.34666 5.41616 5.43549 30 : 4.38193 4.7539 5.03114 5.21595 5.32353 31 : 3.6851 4.12599 4.52086 4.83735 5.06563 32 : 3.07314 3.46453 3.88424 4.2861 4.63094 33 : 2.66647 2.93677 3.27756 3.66423 4.05803 34 : 2.46353 2.61438 2.83443 3.12459 3.47092 35 : 2.40354 2.46954 2.58517 2.76147 3.00385 36 : 2.42745 2.44196 2.48728 2.57404 2.71309 37 : 2.49627 2.4816 2.48498 2.51375 2.57701 38 : 2.58801 2.55704 2.53661 2.53113 2.54663 39 : 2.69119 2.65085 2.61692 2.59188 2.57929 40 : 2.80002 2.75391 2.71203 2.67571 2.64694 41 : 2.91161 2.86158 2.81466 2.77153 2.73326 Col: 21 22 23 24 25 Row 1 : 2.66667 2.62295 2.58065 2.53968 2.5 2 : 2.77139 2.72595 2.68199 2.63942 2.59817 3 : 2.87611 2.82896 2.78333 2.73915 2.69635 4 : 2.98083 2.93196 2.88467 2.83888 2.79452 5 : 3.08555 3.03496 2.98601 2.93861 2.8927 6 : 3.19027 3.13797 3.08735 3.03835 2.99087 7 : 3.29499 3.24097 3.1887 3.13808 3.08905 8 : 3.3997 3.34397 3.29004 3.23781 3.18722 9 : 3.50442 3.44697 3.39138 3.33755 3.2854 10 : 3.60914 3.54998 3.49272 3.43728 3.38357 11 : 3.71386 3.65298 3.59406 3.53701 3.48175 12 : 3.81858 3.75598 3.6954 3.63675 3.57992 13 : 3.9233 3.85898 3.79674 3.73648 3.67809 14 : 4.02801 3.96198 3.89808 3.83621 3.77627 15 : 4.13272 4.06498 3.99942 3.93594 3.87444 16 : 4.23743 4.16797 4.10075 4.03566 3.97261 17 : 4.34211 4.27095 4.20207 4.13538 4.07077 18 : 4.44677 4.3739 4.30337 4.23508 4.16892 19 : 4.55136 4.47681 4.40464 4.33476 4.26705 20 : 4.65584 4.57963 4.50585 4.43439 4.36515 21 : 4.7601 4.68229 4.60694 4.53393 4.46318 22 : 4.86392 4.78464 4.70779 4.6333 4.56108 23 : 4.96691 4.88639 4.80822 4.73236 4.65876 24 : 5.0683 4.98701 4.90784 4.83084 4.756 25 : 5.16659 5.08546 5.00592 4.92822 4.85246 26 : 5.25897 5.1798 5.10112 5.02355 4.94746 27 : 5.34005 5.26635 5.19091 5.11508 5.03975 28 : 5.39988 5.3383 5.27057 5.19955 5.12708 29 : 5.42062 5.38327 5.33158 5.27104 5.20532 30 : 5.37257 5.37992 5.35885 5.31899 5.26708 31 : 5.21297 5.29474 5.32746 5.32539 5.29954 32 : 4.89785 5.08461 5.20114 5.26203 5.28171 33 : 4.4184 4.71624 4.93969 5.09152 5.18271 34 : 3.84411 4.20682 4.52571 4.78065 4.96651 35 : 3.30667 3.65011 4.00307 4.332 4.61111 36 : 2.91221 3.17159 3.47973 3.81303 4.14109 37 : 2.68481 2.84588 3.06414 3.3346 3.64115 38 : 2.59083 2.67269 2.80099 2.98174 3.21467 39 : 2.58413 2.61288 2.67336 2.77385 2.92133 40 : 2.62865 2.6249 2.64112 2.68403 2.76117 41 : 2.70148 2.67857 2.66789 2.67394 2.70245 Col: 26 27 28 29 30 Row 1 : 2.46154 2.42424 2.38806 2.35294 2.31884 2 : 2.5582 2.51944 2.48184 2.44534 2.4099 3 : 2.65487 2.61464 2.57562 2.53774 2.50096 4 : 2.75153 2.70984 2.6694 2.63014 2.59202 5 : 2.8482 2.80504 2.76318 2.72254 2.68308 6 : 2.94486 2.90024 2.85695 2.81494 2.77414 7 : 3.04152 2.99544 2.95073 2.90734 2.8652 8 : 3.13819 3.09064 3.04451 2.99974 2.95627 9 : 3.23485 3.18584 3.13829 3.09214 3.04733 10 : 3.33152 3.28104 3.23207 3.18454 3.13839 11 : 3.42818 3.37624 3.32585 3.27694 3.22945 12 : 3.52485 3.47144 3.41963 3.36934 3.32051 13 : 3.62151 3.56664 3.5134 3.46174 3.41157 14 : 3.71817 3.66184 3.60718 3.55414 3.50263 15 : 3.81483 3.75703 3.70096 3.64653 3.59369 16 : 3.91149 3.85223 3.79474 3.73893 3.68475 17 : 4.00815 3.94742 3.88851 3.83133 3.7758 18 : 4.10479 4.04261 3.98228 3.92372 3.86685 19 : 4.20142 4.13778 4.07603 4.0161 3.9579 20 : 4.29803 4.23293 4.16978 4.10847 4.04894 21 : 4.39458 4.32805 4.26349 4.20082 4.13996 22 : 4.49104 4.42309 4.35715 4.29313 4.23095 23 : 4.58733 4.51801 4.45071 4.38536 4.32188 24 : 4.6833 4.61269 4.5441 4.47746 4.41271 25 : 4.7787 4.70695 4.63717 4.56933 4.50337 26 : 4.87305 4.80044 4.72968 4.66078 4.59371 27 : 4.96546 4.89254 4.82118 4.75148 4.6835 28 : 5.05435 4.98211 4.91085 4.84086 4.77232 29 : 5.13682 5.06711 4.99724 4.92786 4.8594 30 : 5.20769 5.14391 5.07778 5.01066 4.94344 31 : 5.25791 5.20609 5.14793 5.08602 5.02213 32 : 5.27221 5.2427 5.19986 5.14837 5.09146 33 : 5.22669 5.23592 5.22055 5.18827 5.14466 34 : 5.08908 5.15946 5.18971 5.19055 5.17055 35 : 4.82769 4.98132 5.07946 5.13272 5.15181 36 : 4.43556 4.67763 4.86041 4.98662 5.06437 37 : 3.95857 4.25901 4.51978 4.72813 4.88146 38 : 3.49018 3.78911 4.08648 4.35821 4.58706 39 : 3.1186 3.36129 3.63614 3.92253 4.19723 40 : 2.8797 3.04427 3.2543 3.50175 3.77087 41 : 2.76011 2.85381 2.98913 3.16805 3.38673 Col: 31 32 33 34 35 Row 1 : 2.28571 2.25352 2.22222 2.19178 2.16216 2 : 2.37547 2.34202 2.30949 2.27785 2.24707 3 : 2.46523 2.43051 2.39676 2.36392 2.33198 4 : 2.55499 2.51901 2.48402 2.44999 2.41689 5 : 2.64475 2.6075 2.57129 2.53606 2.50179 6 : 2.73451 2.696 2.65855 2.62214 2.5867 7 : 2.82427 2.78449 2.74582 2.70821 2.67161 8 : 2.91403 2.87299 2.83309 2.79428 2.75652 9 : 3.00379 2.96149 2.92035 2.88035 2.84143 10 : 3.09355 3.04998 3.00762 2.96642 2.92633 11 : 3.18331 3.13848 3.09489 3.05249 3.01124 12 : 3.27307 3.22697 3.18215 3.13856 3.09615 13 : 3.36283 3.31547 3.26942 3.22463 3.18106 14 : 3.45259 3.40396 3.35669 3.3107 3.26596 15 : 3.54235 3.49246 3.44395 3.39677 3.35087 16 : 3.63211 3.58095 3.53122 3.48284 3.43578 17 : 3.72186 3.66944 3.61848 3.56891 3.52068 18 : 3.81162 3.75793 3.70574 3.65498 3.60559 19 : 3.90137 3.84642 3.793 3.74105 3.69049 20 : 3.99111 3.9349 3.88026 3.82711 3.77539 21 : 4.08083 4.02337 3.9675 3.91316 3.86029 22 : 4.17054 4.11182 4.05473 3.9992 3.94517 23 : 4.2602 4.20024 4.14194 4.08523 4.03004 24 : 4.34978 4.2886 4.2291 4.17121 4.11488 25 : 4.43923 4.37685 4.31618 4.25714 4.19967 26 : 4.52844 4.46493 4.40312 4.34296 4.28439 27 : 4.61725 4.5527 4.48983 4.4286 4.36896 28 : 4.70533 4.63993 4.57613 4.51393 4.4533 29 : 4.79213 4.72622 4.66174 4.59874 4.53724 30 : 4.87672 4.81087 4.74612 4.68264 4.6205 31 : 4.95742 4.89268 4.82842 4.76499 4.70261 32 : 5.03137 4.96958 4.90713 4.8447 4.78274 33 : 5.09367 5.03804 4.97968 4.91988 4.85955 34 : 5.13618 5.09214 5.04177 4.98742 4.93073 35 : 5.1459 5.12225 5.08634 5.04213 4.99248 36 : 5.10355 5.11353 5.10218 5.07568 5.03865 37 : 4.9844 5.04516 5.07272 5.07527 5.05954 38 : 4.76519 4.89305 4.97631 5.02289 5.04086 39 : 4.44039 4.63968 4.79107 4.89701 4.96364 40 : 4.04105 4.29175 4.5074 4.67978 4.8077 41 : 3.63418 3.89337 4.14486 4.37131 4.56109 Col: 36 37 38 39 40 Row 1 : 2.13333 2.10526 2.07792 2.05128 2.02532 2 : 2.21711 2.18794 2.15952 2.13184 2.10485 3 : 2.30088 2.27061 2.24112 2.21239 2.18438 4 : 2.38466 2.35328 2.32272 2.29294 2.26392 5 : 2.46844 2.43596 2.40432 2.3735 2.34345 6 : 2.55221 2.51863 2.48592 2.45405 2.42299 7 : 2.63599 2.6013 2.56752 2.5346 2.50252 8 : 2.71976 2.68398 2.64912 2.61516 2.58205 9 : 2.80354 2.76665 2.73072 2.69571 2.66159 10 : 2.88732 2.84932 2.81232 2.77626 2.74112 11 : 2.97109 2.932 2.89392 2.85682 2.82066 12 : 3.05487 3.01467 2.97552 2.93737 2.90019 13 : 3.13864 3.09734 3.05712 3.01793 2.97972 14 : 3.22242 3.18002 3.13872 3.09848 3.05926 15 : 3.30619 3.26269 3.22032 3.17903 3.13879 16 : 3.38997 3.34536 3.30192 3.25959 3.21833 17 : 3.47374 3.42804 3.38352 3.34014 3.29786 18 : 3.55752 3.51071 3.46511 3.42069 3.37739 19 : 3.64129 3.59338 3.54671 3.50124 3.45692 20 : 3.72506 3.67605 3.62831 3.58179 3.53645 21 : 3.80882 3.75871 3.7099 3.66234 3.61598 22 : 3.89258 3.84137 3.79149 3.74288 3.69551 23 : 3.97632 3.92402 3.87307 3.82342 3.77503 24 : 4.06005 4.00665 3.95463 3.90395 3.85454 25 : 4.14373 4.08925 4.03617 3.98445 3.93404 26 : 4.22735 4.1718 4.11768 4.06493 4.01351 27 : 4.31087 4.25427 4.19911 4.14535 4.09294 28 : 4.3942 4.3366 4.28044 4.22569 4.1723 29 : 4.47724 4.4187 4.36159 4.3059 4.25156 30 : 4.55975 4.5004 4.44244 4.38586 4.33063 31 : 4.6414 4.58144 4.52279 4.46545 4.40941 32 : 4.72157 4.66138 4.6023 4.54439 4.4877 33 : 4.79927 4.73947 4.68041 4.62228 4.56518 34 : 4.87281 4.81446 4.75621 4.69842 4.64134 35 : 4.9394 4.8843 4.82816 4.77168 4.71533 36 : 4.99449 4.94562 4.89378 4.84021 4.78576 37 : 5.03081 4.99302 4.94905 4.90101 4.8504 38 : 5.03732 5.01808 4.98763 4.94933 4.90569 39 : 4.99839 5.00842 4.99991 4.97784 4.94607 40 : 4.89486 4.94745 4.97231 4.97576 4.96318 41 : 4.7093 4.81675 4.88784 4.92857 4.94515 Col: 41 Row 1 : 2 2 : 2.07854 3 : 2.15708 4 : 2.23562 5 : 2.31416 6 : 2.3927 7 : 2.47124 8 : 2.54978 9 : 2.62832 10 : 2.70686 11 : 2.7854 12 : 2.86394 13 : 2.94248 14 : 3.02102 15 : 3.09956 16 : 3.1781 17 : 3.25664 18 : 3.33517 19 : 3.41371 20 : 3.49225 21 : 3.57079 22 : 3.64932 23 : 3.72785 24 : 3.80637 25 : 3.88488 26 : 3.96337 27 : 4.04182 28 : 4.12023 29 : 4.19855 30 : 4.27672 31 : 4.35467 32 : 4.43224 33 : 4.50919 34 : 4.58513 35 : 4.65943 36 : 4.73103 37 : 4.79828 38 : 4.85851 39 : 4.9075 40 : 4.93885 41 : 4.94316 Data written to file "burgers_solution_test04.txt" burgers_solution_test(): Normal end of execution. 07-Jan-2022 16:42:27