ode45 - Di erential Equation Solver - Purdue University

ode45 - di erential Equation SolverThis routine uses a variable step Runge-Kutta Method to solve di erential equations syntax forode45for rst order di erential equations and that for second order di erentialequations are basically the same. However, the .m les are quite di Order equations (y0=f(t;y)y(t0)=y0A. Create a .m le forf(t;y) (see the tutorial on numerical methods and m les on how todo this). Save le as, for example, Basic syntax type :[t,y]= ode45 ('yp',[t0,tf],y0);(your version ofode45may not require brackets around t0, tf)8> <>:yp = the .m file of the functionf(t;y)saved as , tf = initial and terminal values ofty0 = initial value ofyatt0C. For example, to numerically solve(t2y0=y+3ty(1) = 2over the interval 1 t 4: Create and save the le for the function1t2(y+3t). At aMatlabprompt type:[t,y]= ode45 ('yp',[1,4],-2);(your version ofode45may not require backets around [1,4]) To print results type :[t,y] To plot results type :plot(t,y) To plot results type with a '+' symbol :plot(t,y,'+') Order Equations8> <>:y00+p(t)y0+q(t)y=g(t)y(t0)=y0y0(t0)=y1A .))

ode45 - Di erential Equation Solver This routine uses a variable step Runge-Kutta Method to solve di erential equations numerically. The syntax for ode45 for rst order di erential equations and that for second order di erential

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  Equations, Solver, Erential, Di erential, Ode45, Ode45 di erential equation solver

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