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AUTO 317 ( ) CT, MRI MRI MRI AUTO E. J. Doedel [1] AUTO 1.2 AUTO AUTO E. J. Doedel [1] AUTO C FORTRAN C AUTO2000 FORTRAN AUTO07p AUTO07p AUTO C FORTRAN AUTO AUTO AUTO KNOPPIX/Math 2008 [19] AUTO07p AUTO AUTO AUTO 93
318 (AUTO ) AUTO 200 ([ 7 ]) AUTO AUTO Automatic (AUTO Automatic AUTO )AUTO ([18]) 2 AUTO AUTO AUTO 2.1 AUTO AUTO () 94
AUTO 319 AUTO 1 u t = (u + 1)(u 2 α), α < 1. (1) α u = 1 0 <α<1 u = ±α α <0 u = 1 u 0 lim t u(t) = 1 u(t) 1 α 0 (α = 0.001) u(0) = 0.5 (1) u(t) 1 u(t) 1 (1) lim t u(t) = 1 1 S t = 150 u = 1 lim t u(t) = 1 AE 0 2/3 AE 0 ( 95
320 ) α = 0.001 u =0AUTO AUTO 2 ()AUTO α =0 α =0 u =0 AE 0 0 2 (1) AUTO U 0 S AE ( 1 ) AE ( α <0 ) 2.2 1 AUTO [ 5 ], [ 6 ], [15] [17] 96
AUTO 321 [2] [3] ( 2 ) u t = D u u xx + u 2 v (F + k)u, (2) v t = D v v xx u 2 v + F (1 v). 31 u(x, t) L (a) D u =10 5, D v =2 10 5, F =0.04, k =0.06075, L =1.6(b) D u =10 5, D v =2 10 5, F =0.025, k =0.0542, L =0.5 97
322 3 ( 4) (2) AUTO ( 5) AUTO AUTO AUTO LAPACK [ 4 ] [17] 4 [ 8 ], [ 9 ] AUTO AUTO AUTO 1) ([10] [14]) AUTO 98
AUTO 323 41 u(x, t) D u =10 5, D v =2 10 5, L =0.5 (k, F) 3 99
324 5 F =0.04, L =0.3 AUTO AUTO k =0.0608 (a), (b) k 2 (a) k =0.06079, (b) k =0.06075 (a) (b) 100
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