Bestimmung der verfügbaren Löser

60418d2e-0081-4a0e-9d82-5662c3a896d4 13 4 5 false false 0 decimal

&[DATE] &[TIME] - &[FILENAME]

Bestimmung der verfügbaren Löser Detection of available solvers

Solvers al_rkckadapt dn_AdamsMoulton dn_ExplicitRK45 dn_GearsBDF dn_ImplicitRK5 mk52lfa mk52lfn rkm9mka rkm9mkn rkm9st gslrk2 gslrk4 gslrk8pd gslrkck gslrkf45 mwode113 mwode15s mwode23 mwode45 Rkadapt rkfixed 211 mat :

AvailableSolvers 01 matrix :

str Solvers IsDefined(str (1,1,1,1,1)) concat str2num AvailableSolvers AvailableSolvers str stack : if 11 line for

AvailableSolvers dn_AdamsMoulton dn_ExplicitRK45 dn_GearsBDF dn_ImplicitRK5 Rkadapt rkfixed 61 mat

Wählen Sie den Löser (Solver) sowie die Toleranzen mit der Auswahlbox und den Schiebereglern aus!

Choose solver and tolerance values using combobox and sliders!

"dn_AdamsMoulton"
"dn_ExplicitRK45"
"dn_GearsBDF"
"dn_ImplicitRK5"
"Rkadapt"
"rkfixed"

Solver

Solver dn_GearsBDF

Rel

RelTol 10 Rel^: 11010 -^*

Abs

AbsTol 10 Abs^: 11010 -^*

Solverkommando erzeugen und ausführen

Generate solver command and solution

cmd.str y.0 x.0 x.e m x y D Solver var2str Solver Solver strrep : dn_GearsBDF(y.0,x.0,x.e,m,D(x,y))

x θ.g 203458 x * 1 + log10 * + :

t.0 1 time :

tinit 0 :

tfinal 240 :

S1 20 tinit tfinal tfinal tinit - t θ D1 Solver var2str Solver Solver strrep :

R1 S1 str2num eval :

t θ D1 6312500000000546918 t * + log10 * + (* θ - (* 56729334518 t * + log10 * + 273 - θ - (* 29334518 t * + log10 * + 273 + θ + (* 29334518 t * + log10 * + (2^273 θ + (2^+ (* + (* 3925500100425000773 θ * + (* 169 θ 2^* - (* 111 θ 3^* + (* / :

x f1 R1 1 col R1 2 col x linterp :

t12 x f1 600 ≡ x 0 tfinal solve : 22.8408

S2 600 t12 tfinal tfinal t12 - t θ D2 Solver var2str Solver Solver strrep :

R2 S2 str2num eval :

t θ D2 738 θ - (312500000000546918 t * + log10 * + (* θ - (* 56729334518 t * + log10 * + 273 - θ - (* 29334518 t * + log10 * + 273 + θ + (* 29334518 t * + log10 * + (2^273 θ + (2^+ (* + (* 1962500000002167111738 θ - (* + (* / :

x f2 R2 1 col R2 2 col x linterp :

t23 x f2 735 ≡ x 0 tfinal solve : 33.8616

S3 735 t23 tfinal tfinal t23 - t θ D3 Solver var2str Solver Solver strrep :

R3 S3 str2num eval :

t θ D3 3731 - θ + (* 312500000000546918 t * + log10 * + (* θ - (* 56729334518 t * + log10 * + 273 - θ - (* 29334518 t * + log10 * + 273 + θ + (* 29334518 t * + log10 * + (2^273 θ + (2^+ (* + (* 4906250000003564109731 - θ + (* + (* / :

x f3 R3 1 col R3 2 col x linterp :

t34 x f3 900 ≡ x 0 tfinal solve : 53.1471

S4 900 t34 tfinal tfinal t34 - t θ D4 Solver var2str Solver Solver strrep :

R4 S4 str2num eval :

t θ D4 3312500000000546918 t * + log10 * + (* θ - (* 56729334518 t * + log10 * + 273 - θ - (* 29334518 t * + log10 * + 273 + θ + (* 29334518 t * + log10 * + (2^273 θ + (2^+ (* + (* 63781250000000 / :

x f4 R4 1 col R4 2 col x linterp :

x f x f1 x tinit t12 lele x f2 x t12 t23 ltle x f3 x t23 t34 ltle x f4 x t34 tfinal ltle cases :

Solver dn_GearsBDF

x f x θ.g x tinit tfinal ltle / 2 1 sys x f1 x tinit t12 lele / x f2 x t12 t23 ltle / x f3 x t23 t34 ltle / x f4 x t34 tfinal ltle / x θ.g x tinit tfinal ltle / 5 1 sys

tinit 0

t12 22.8408

t23 33.8616

t34 53.1471

tfinal 240

1 time t.0 - 1.222 s *