Pre-Engineering 220 Introduction to MatLab ® & Scientific Programming j kiefer
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[t,y]=solver_name(‘ODEfunc’,tspan,y0) ODEfunc is the name of the function file which defines the differential equation, the f(t,y). tspan is a vector that specifies the interval of the independent variable spanned by the solution.
[t,y] is the output, in the form of two column vectors. Subsequently, we would plot(t,y). a. Function file The function file calculates  for given values of y & t. That is, t & y are input arguments to the function, and the value of f(t,y) is returned.
b. Solvers Table 9-1 lists some of the MatLab® initial-value ODE solvers. Some are more sophisticated than others; some are adapted to problems in which the solution is not smooth, or is rapidly varying, etc. In most physical and engineering applications, things are smooth and not too-rapidly varying, so most times ode45 should suffice. [t,y] = ode45(‘function’,[0:0.1:10],100) plot(t,y) MatLab® also has boundary value and partial differential equation solvers, but those are not discussed in the introductory text, nor in this class. example: Problem 9-35 
v0 = 300/60/60*1000 [t,v] = ode45(‘drag’,[0:0.1:15],v0) plot(t,v) function dvdt = drag(t,v) dvdt = -0.0035*v*v-3; Directory: physics physics -> Photometer and Optical Link Sensitivity issues, needs editing 1/2010 Purpose physics -> Photometer and Optical Link Purpose physics -> - physics -> Teacher Notes – Activity 14: Momentum in Collisions physics -> Teacher Notes – Activity 15: Impulse and Change in Momentum physics -> Linear Momentum Definition Download 8.69 Mb. Share with your friends:
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