Use the Euler method to solve the following differential
equation for the domain [2,2.5]. Use the step-size ℎ = 0.1.
?′=?ln?/? ;?(2)=?1
b) Use the third order Taylor series method to find ?(0.1) and
?(0.2),
where ?′=1+2?? ;?(0)=0. Use the step-size ℎ=0.1.
c) Solve the problem in part (ii) using the fourth order Runge –
Kutta method.
d) Solve the problem in part (ii) using the Predictor – Corrector
method.
Use Euler method (as explained on the white board) to solve
numerically the following ODE:
dy/dt=y+t. y(0)=1
You can select the step size. Choose n=3. solve this by hand on
a paper and with the aid of Matlab.
Solve the frictionless pendulum equation use Runge- kuta 4 or
forward Euler
ly'' = -g*sin(y)
where g is gravitational acceleration and l is the length of the
pendulum. The function y(t) represents the angle of the pendulum
with respect to the vertial and y'(t0 the angular velocity. You
will need to write the second-order equation as a system of two
first-order equations, and you will need to write a function file
that will evaluate this system of equations. Plot the...
Solve the frictionless pendulum equation use Runge- kuta 4 or
forward Euler
ly'' = -g*sin(y)
where g is gravitational acceleration and l is the length of the
pendulum. The function y(t) represents the angle of the pendulum
with respect to the vertial and y'(t0 the angular velocity. You
will need to write the second-order equation as a system of two
first-order equations, and you will need to write a function file
that will evaluate this system of equations. Plot the...