MATLAB projects and challenges to practice skills.
The task is to develop a computer program to find the roots of the following function:
- Using Bisection Method (initial guesses of
$m_l=0.5$ and$m_u=1.5$ ) - Using Newton-Raphson Method (initial guesses of
$m_0=1.5$ ) - Using Secant Method (initial guesses of
$m_{-1}=0.2$ and$m_0=0.7$ )
Perform iterations until the approximate percent relative error falls below 0.005%.
The task is to develop a computer program to solve the following system of equations (employ initial guesses of 0.0 for all unknowns):
$ j - 3k + 2l - n = 79.75$
- Using Gauss-Seidel
- Using Jacobi
Perform iterations until the approximation error is < 0.00001.
The task is to develop a computer program to obtain the value of u at the corresponding t values of 50 and 90, respectively using the following methods:
- Lagrange Interpolating Polynomials
- Quadratic Spline Interpolation
The data given represents the altitude L (in ft) of a small rocket that is launched vertically upward as a function of time t (in s)
The task is to develop a computer program to obtain the rocket’s velocity (v) and acceleration (a) at each point using the finite- difference formulae with a truncation error of O(h2).
Display the results in three plots (altitude vs. time, velocity vs. time, and acceleration vs. time).