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8 Cards in this Set
- Front
- Back
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Approximate a zero near x0 of a function, or in an interval [a,b] |
x=fzero(function,x0) x=fzero(function,[a b]) [x fval]=fzero(function,x0) (can call another function inside ' ') |
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Find local minimum of a function between (x1,x2) |
x = fminbnd(function,x1,x2) [x fval] = fminbnd(function,x1,x2) |
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Find local maximum of a function between (x1,x2) |
x = fminbnd(-function,x1,x2) |
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Integrate a function from a to b |
q = quad('function',a,b) -- Simpson method q = quadl('function',a,b) -- Lobatto method q = trapz(x,y) (x,y are vectors) must use matrix operations in 'function' |
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solve ODE: step 1 |
write in dy/dt = f(t,y) t in [to,tf] Initial condition y = yo, t=to |
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solve ODE: step 2 |
create user-defined function on a separete file of anonymously: function dydt = ODEfunc(t,y) dydt = f(t,y) |
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slove ODE: step 3 |
choose a solver ode45, ode23, ode113, ode15s, ode23s, ode23t, ode23tb |
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solve ODE: step 4: solve |
[t,y] = solver_name(ODEfunc,tspan,yo) |
