solve ODE using mass matrix and optimize( or sfit) for constant k
1 view (last 30 days)
Show older comments
I have following ODE (can be up to 50 equations) and I know the inditial conditions. I would like to solve the ODEs using mass matrix approach and fit (or optimize) it for the constant k , simultaneously.
% folowing 6 ODE
dy1= -k(1)*y(1)
dy2= -k(1)*y(2) + k(2)*y(3)
dy3= -k(2)*y(3)+ k(3)*y(4)
dy4= -k(3)*y(4) + k(4)*y(5)
dy5= -k(4)*y(5) + k(5)*y(6)
dy6= -k(5)*y(6)
yo=[1:6]; % e.g. inital condition
t=[1:11]; % time span
% y is the solution should be used for fitting (or optimisation )
y=[0.0507028494426047 0.0391772076592548 0.0239936934256099 0.0136320134992300 0.00834432867659483 0.00496713242934561 0.00289990776880902 0.00227072723841650 0.00134219884538243 0.00144485869761514 0.000954842993410321
0.0449696949945177 0.0306503331602409 0.0166143496301845 0.00843215675170465 0.00470145257948545 0.00256569627280364 0.00137010277822527 0.00103256893122316 0.000561318403514916 0.000615978094736525 0.000379910700400407
0.0391124886980205 0.0233551513099763 0.0111309727505778 0.00501552652693363 0.00253435840314969 0.00126196768029146 0.000613422886429227 0.000444025306296506 0.000220983300037256 0.000247466678883997 0.000141909740882417
0.0333986566211517 0.0173566786561615 0.00722629225046896 0.00287365853628619 0.00130948595294191 0.000592232245482717 0.000260807030009474 0.000180954826980453 8.20843481602059e-05 9.38988749971876e-05 4.98825894663671e-05
0.0280293764773304 0.0125957834222410 0.00455251874259976 0.00158851929625593 0.000649668649977560 0.000265678988505308 0.000105514529162416 7.00347502676200e-05 2.88320883066407e-05 3.37246378721650e-05 1.65382627591214e-05
0.0231408090337721 0.00893630956704687 0.00278695045402996 0.000848510074328506 0.000310010718055328 0.000114140973574678 4.07005962733033e-05 2.57945112215959e-05 9.59745622162058e-06 1.14898166389124e-05 5.18346441972883e-06];
y0=y(:,1) ; % e.g. inital condition
0 Comments
Answers (0)
See Also
Categories
Find more on Ordinary Differential Equations in Help Center and File Exchange
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!