Ordinary Differential Equations (ODE) in MATLAB

Ordinary Differential Equations (ODE) in MATLABO rdinary Differential Equations (ODE) inMATLABShan HeSchool for Computational ScienceUniversity of BirminghamModule 06-23836: Computational Modelling with MATLABO rdinary Differential Equations (ODE) in MATLABWhat will we learn from the next 5 lecturesIHow to solve ODEs using to model biological systems using ODEs in to analyse ODEs using bifurcation and chaos using of bifurcation and chaos to biological Differential Equations (ODE) in MATLABO utlineOutline of TopicsConcepts about ODES olving ODE in MATLABODE Solvers in MATLABS olving linear ODEs in MATLABS olving high order ODEs in MATLABS olving ODEs in MATLAB : Advanced topicsOrdinary Differential Equations (ODE) in MATLABC oncepts about ODEWhat is ODEAn Ordinary Differential Equation (ODE) is an equation involvinga function and its Differential Equations (ODE) in MATLABC oncepts about ODED efinition of ODEIL etybe an unknown function =dydxbe the first derivative with respect (n)=dnydxnbe thenth derivative with respect a given functionIThen an ODE of ordernis an equation of the form:F(x,y,y.)

I ode45: based on an explicit Runge-Kutta (4, 5) formula and the Dormand-Prince method. I ode23: based on an explicit Runge-Kutta (2, 3) formula and the Bogacki and Shampine method. I We choose according to order of accuracy and the type of systems (sti or nonsti ). I Rule of thumb: Always try ode45 rst.

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